Items where Academic/Research unit is "Faculty of Engineering and Physical Sciences > Department of Mathematics"

A

Abreu, Stella, Aston, Philip and Melbourne, Ian (2005) Symmetric Chaos in a Local Codimension Two Bifurcation with the Symmetry Group of a Square SIAM Journal on Applied Dynamical Systems, 4 (1). pp. 32-52. ISSN 15360040

Abreu, Stella, Aston, Philip J. and Melbourne, Ian (2005) Symmetric Chaos in a Local Codimension Two Bifurcation with the Symmetry Group of a Square Dynamical Systems, 4 . pp. 32-52.

Afendikov, Andrei L. and Bridges, Thomas J. (2001) Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow Proceedings of the Royal Society of London A, 457 . pp. 257-272.

Anghel, A T, Hoyle, Rebecca, Irurzun, I M, Proctor, M R E and King, D A (2007) Theoretical study of pattern formation during the catalytic oxidation of CO on Pt{100} at low pressures Journal of Chemical Physics .

Ashwin, P., Deane, J. H. B. and Fu, X-C. (2001) Dynamics of a bandpass sigma-delta modulator as a piecewise isometry Proceedings of the 2001 IEEE International Symposium on Circuits and Systems, 2001, 3 . pp. 811-814.

Ashwin, P., Fu, X-C. and Deane, J. H. B. (2003) Properties of the invariant disc packing in a model bandpass sigma-delta modulator International Journal of Bifurcation and Chaos, 13 . pp. 631-641.

Ashwin, Peter (1997) Cycles homoclinic to chaotic sets; robustness and resonance Chaos, 7 . pp. 207-220.

Ashwin, Peter (1997) Elliptic behaviour in the sawtooth standard map Physics Letters A, 232 (6). pp. 409-416. ISSN 03759601

Ashwin, Peter (1999) Minimal attractors and bifurcations of random dynamical systems 455 . pp. 2615-2634.

Ashwin, Peter, Aston, Philip J. and Nicol, Matthew (1998) On the unfolding of a blowout bifurcation Physica D: Nonlinear Phenomena, 111 (1-4). pp. 81-95. ISSN 01672789

Ashwin, Peter, Chambers, W. G. and Petkov, G. (1997) Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals International Journal of Bifurcation and Chaos, 7 . pp. 2603-2610.

Ashwin, Peter, Fu, Xin-Chu, Nishkawa, Takashi and Zyczkowski, Karol (2000) Invariant sets for discontinuous parabolic area-preserving torus maps Nonlinearity, 13 . pp. 819-835.

Ashwin, Peter and King, G. P. (1997) A study of particle paths in non-axisymmetric Taylor–Couette flows Journal of Fluid Mecahnics, 338 . pp. 341-362.

Ashwin, Peter and Mei, Zhen (1998) A Numerical Bifurcation Function for Homoclinic Orbits SIAM Journal on Numerical Analysis, 35 . pp. 2055-2069.

Ashwin, Peter and Melbourne, Ian (1997) Noncompact drift for relative equilibria and relative periodic orbits Nonlinearity, 10 . pp. 595-616.

Ashwin, Peter, Melbourne, Ian and Nicol, Matthew (1999) Drift bifurcations of relative equilibria and transitions of spiral waves Nonlinearity, 12 . pp. 741-755.

Ashwin, Peter and Nicol, Matthew (1997) Detection of symmetry of attractors from observations I: theory Physica D: Nonlinear Phenomena, 100 (1-2). pp. 58-70. ISSN 01672789

Ashwin, Peter and Stone, Emily (1997) Influence of noise near blowout bifurcation Physical Review E, 56 . pp. 1635-1641.

Ashwin, Peter, Terry, John R., Thornburg, K. Scott and Roy, Rajarshi (1998) Blowout bifurcation in a system of coupled chaotic lasers Physical Review E, 58 .

Aston, Philip J and Shail, R (2007) The dynamics of a bouncing superball with spin Dynamical Systems, 22 (3). pp. 291-322. ISSN 1468-9367

Aston, Philip J. and Bird, C. M. (1998) Synchronization of coupled systems via parameter perturbations Physical Review E, 57 . pp. 2787-2794.

Aston, Philip J., Deane, J. H. B. and Hamill, D. C. (1997) Targeting in systems with discontinuities, with applications to power electronics IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 44 . pp. 1034-1039.

Aston, Philip J. and Dellnitz, M. (2003) Computation of the dominant Lyapunov exponent via spatial integration using matrix norms Proceedings of the Royal Society of London A, 459 . pp. 2933-2955.

Aston, Philip J. and Marriott, P. K. (1998) Waiting time paradox applied to transient times Physical Review E, 57 . pp. 1181-1182.

Aston, Philip J. and Shail, Ronald (2007) The dynamics of a bouncing superball with spin Dynamical Systems, 22 (3). pp. 291-322. ISSN 1468-9367

B

Bartuccelli, M. V., Blyuss, K. B. and Kyrychko, Y. N. (2004) Length scales and positivity of solutions of a class of reaction-diffusion equations Communications on Pure and Applied Analysis, 3 . pp. 25-40.

Bartuccelli, M. V. and Gentile, G. (2002) On a class of integrable time-dependent dynamical systems Physics Letters A, 307 . pp. 274-280.

Bartuccelli, M. V., Gentile, G. and Georgiou, K. (2003) KAM theory, Lindstedt series and the stability of the upside-down pendulum Discrete and Continuous Dynamical Systems, 9 . pp. 413-426.

Bartuccelli, M. V., Gentile, G. and Georgiou, K. (2001) On the dynamics of a vertically driven damped planar pendulum Proceedings of the Royal Society of London A, 457 (3007). pp. 3007-3022.

Bartuccelli, M. V., Gourley, S. A. and Ilyin, A. A. (2002) Positivity and the attractor dimension in a fourth-order reaction-diffusion equation 458 . pp. 1431-1446.

Bartuccelli, Michele V., Deane, Jonathan H. B., Gentile, G. and Gourley, Stephen A. (2004) Global attraction to the origin in a parametrically driven nonlinear oscillator Applied Mathematics and Computation, 153 . pp. 1-11.

Bartuccelli, Michele V., Deane, Jonathan H. B. and Gentile, Guido (2007) Globally and locally attractive solutions for quasi-periodically forced systems Journal of Mathematical Analysis and Applications, 328 . pp. 699-714.

Bees, M. A. and Hill, N. A. (1998) Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms Journal of Mathematical Biology, 38 (2). pp. 135-168. ISSN 0303-6812

Benjamin, T. Brooke and Bridges, Thomas J. (1997) Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure Journal of Fluid Mechanics .

Benjamin, T. Brooke and Bridges, Thomas J. (1997) Reappraisal of the Kelvin–Helmholtz problem. Part 2. Interaction of the Kelvin–Helmholtz, superharmonic and Benjamin–Feir instabilities Journal of Fluid Mechanics .

Bennett, D. L. and Gourley, S. A. (2004) Global stability in a model of the glucose-insulin interaction with time delay the <i>European Journal of Applied Mathematics</i>, 15 . pp. 203-221.

Bevan, Jonathan and Yan, Xiaodong (2008) Minimizers with topological singularities in two dimensional elasticity Control, Optimisation and Calculus of Variations, 14 (1). pp. 192-209. ISSN 1292-8119

Blyuss, K. B., Bridges, T. J. and Derks, G. (2003) Transverse instability and its long-term development for solitary waves of the (2 + 1) -dimensional Boussinesq equation Physical Review E .

Brevdo, L. and Bridges, Thomas J. (1997) Local and global instabilities of spatially developing flows: cautionary examples Proceedings of the Royal Society of London A, 453 . pp. 1345-1364.

Brevdo, Leonid, Laure, Patrice, Dias, Frederic and Bridges, Thomas J. (1999) Linear pulse structure and signalling in a film flow on an inclined plane Journal of Fluid Mechanics .

Bridges, T J and Donaldson, N M (2006) Secondary Criticality of Water Waves. Part 1.
Definition, Bifurcation and Solitary Waves
Journal of Fluid Mechanics, 565 . pp. 381-417. ISSN 0022-1120

Bridges, T J and Donaldson, N M (2006) Secondary Criticality of Water Waves. Part 2.<br>Unsteadiness and the Benjamin-Feir Instability From the Viewpoint of Hydraulics<br> Journal of Fluid Mechanics, 565 . pp. 419-439. ISSN 0022-1120

Bridges, Thomas J (2004) Superharmonic Instability, Homoclinic Torus Bifurcation and Water-Wave Breaking Journal of Fluid Mechanics, 505 . pp. 153-162. ISSN 0022-1120

Bridges, Thomas J and Laine-Pearson, Fiona E (2005) The long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction Journal of Fluid Mechanics, 543 . pp. 147-182.

Bridges, Thomas J and Laine-Pearson, Fiona E (2005) The Long-Wave Instability of Short-Crested Waves, Via Embedding in the Oblique Two-Wave Interaction Journal of Fluid Mechanics, 543 (-1). pp. 147-182. ISSN 0022-1120

Bridges, Thomas J. (1997) A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities Proceedings of the Royal Society of London, 453 . pp. 1365-1395.

Bridges, Thomas J. (1997) Multi-symplectic structures and wave propagation the <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, 121 (01). pp. 147-190.

Bridges, Thomas J. (2004) On the susceptibility of bright nonlinear Schrödinger solitons to long-wave transverse instability Proceedings of the Royal Society of London A, 460 . pp. 2605-2615.

Bridges, Thomas J. (2005) Steady dark solitary waves emerging from wave-generated meanflow: The role of modulation equations Chaos: An Interdisciplinary Journal of Nonlinear Science, 037113 (2005). ISSN 10541500

Bridges, Thomas J. (2004) Superharmonic instability, homoclinic torus bifurcation and water-wave breaking Journal of Fluid Mechanics, 505 . pp. 153-162.

Bridges, Thomas J. (2001) Transverse instability of solitary-wave states of the water-wave problem Journal of Fluid Mechanics .

Bridges, Thomas J. (2000) Universal Geometric Condition for the Transverse Instability of Solitary Waves Physical Review Letters, 84 . pp. 2614-2617.

Bridges, Thomas J. and Derks, Gianne (2002) Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations the <i>SIAM Journal on Mathematical Analysis</i>, 33 . pp. 1356-1378.

Bridges, Thomas J. and Derks, Gianne (1999) Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry Proceedings of the Royal Society of London A, 455 . pp. 2427-2469.

Bridges, Thomas J. and Dias, F. (2007) Enhancement of the Benjamin-Feir instability with dissipation Physics of Fluids, 104104 (2007). ISSN 10706631

Bridges, Thomas J., Dias, F. and Menasce, D. (2001) Steady three-dimensional water-wave patterns on a finite-depth fluid Journal of Fluid Mechanics .

Bridges, Thomas J. and Donaldson, N. M. (2006) Secondary criticality of water waves. Part 1. Definition, bifurcation and solitary waves Journal of Fluid Mechanics, 565 . pp. 381-417. ISSN 0022-1120

Bridges, Thomas J. and Donaldson, N. M. (2006) Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin–Feir instability from the viewpoint of hydraulics Journal of Fluid Mechanics, 565 . pp. 419-439. ISSN 0022-1120

Bridges, Thomas J. and Donaldson, Neil M. (2007) Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves Physics of Fluids, 072111 (2007). ISSN 10706631

Bridges, Thomas J. and Laine-Pearson, Fiona E. (2004) Nonlinear Counterpropagating Waves, Multisymplectic Geometry, and the Instability of Standing Waves the <i>SIAM Journal on Applied Mathematics</i>, 64 . pp. 2096-2120.

Bridges, Thomas J. and Reich, Sebastian (2001) Computing Lyapunov exponents on a Stiefel manifold Physica D, 156 . pp. 219-238.

Bridges, Tom J, Hydon, Peter E and Reich, Sebastien (2005) Vorticity and symplecticity in Lagrangian fluid dynamics Journal of Physics A: Mathematical and General, 38 (6). pp. 1403-1418. ISSN 0305-4470

Broomhead, David S., Hadjiloucas, Demetris and Nicol, Matthew (1999) Random and deterministic perturbation of a class of skew-product systems Dynamics and Stability of Systems, 14 (2). pp. 115-128. ISSN 0268-1110

Bruin, H., Lambert, A., Poggiaspalla, G. and S. Vaienti, S. (2003) Numerical analysis for a discontinuous rotation of the torus pp. 558-571.

Bruin, H., Luzzatto, S. and van Strien, S. (2003) Decay of correlations in one-dimensional dynamics Annales Scientifiques de l’École Normale Supérieure, 36 . pp. 621-646.

Bruin, H., Saussol, B., Troubetzkoy, S. and Vaienti, S. (2003) Return time statistics via inducing Dynamical Systems, 23 . pp. 991-1013.

Bruin, H., Shen, W. and van Strien, S. (2003) Invariant Measures Exist Without a Growth Condition Communications in Mathematical Physics, 241 . pp. 287-306.

Bruin, H. and Van Noort, M. (2004) Nonconformal perturbations of z to z²+ c: the 1 : 3 resonance Nonlinearity, 17 . pp. 765-789.

Bruin, Henk (2005) Asymptotic arc-components of unimodal inverse limit spaces Topology and its applications . pp. 182-200.

Bruin, Henk (2007) Renormalisation in a class of interval translation maps of d branches Dynamical Systems, 22 (1). pp. 11-24. ISSN 1468-9367

Bruin, Henk, Al-Khal, J and Jakobson, M (2008) New examples of S-unimodal maps with a sigma-finite absolutely continuous invariant measure. Discrete and Continuous Dynamical Systems . pp. 1-2.

Bruin, Henk and Deane, Jonathan H B (2009) Piecewise Contractions are Asymptotically Periodic Proceedings of the American Mathematical Society, , 137 . pp. 1389-1395.

Bruin, Henk and Hawkins, Jane (2001) Exactness and maximal automorphic factors of unimodal interval maps Dynamical Systems, 21 . pp. 1009-1034.

Bruin, Henk, Holland, Mark and Ian, Melbourne (2005) Subexponential Decay of Correlations for Compact Group Extensions of Nonuniformly Expanding Systems Ergodic Theory and Dynamical Systems, 25 (06). pp. 1719-1738. ISSN 0143-3857

Bruin, Henk, Holland, Mark and Nicol, Matthew (2005) Livšic Regularity for Markov Systems Ergodic Theory and Dynamical Systems, 25 (06). pp. 1739-1766. ISSN 0143-3857

Bruin, Henk and Luzzatto, Stefano (2005) Topological Invariance of the Sign of the Lyapunov Exponents in One-Dimensional Maps Proceedings of the American Mathematical Society, 134 . pp. 265-272.

Bruin, Henk and Luzzatto, Stephano (2006) Topological invariance of the sign of the Lyapunov Exponents in one-dimensional maps Proc. Amer. Math. Soc., 134 (2006). pp. 265-272.

Bruin, Henk and Volkova, Oksana (2005) The complexity of fibonacci-like kneading sequences Theoretical Computer Science . pp. 379-389.

Buono, P-L, Lamb, J S W and Roberts, R M (2008) Bifurcation and branching of equilibria in reversible equivariant vector fields Nonlinearity .

C

Capasso, V. and Wilson, R. E. (1997) Analysis of a Reaction-Diffusion System Modeling Man--Environment--Man Epidemics SIAM Journal on Applied Mathematics, 57 . pp. 327-346.

Chan, David and Melbourne, Ian (2007) A geometric characterisation of resonance in Hopf bifurcation from relative equilibria Physica D, 234 . pp. 98-104.

Cotter, C J, Holm, D D and Hydon, Peter E (2007) Multisymplectic formulation of fluid dynamics using the inverse map Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2086). pp. 2671-2687. ISSN 1364-5021

Cotter, C. J., Holm, D. D. and Hydon, P. E. (2007) Multisymplectic formulation of fluid dynamics using the inverse map Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2086). pp. 2671-2687. ISSN 1364-5021

Covas, Eurico, Ashwin, Peter and Tavakol, Reza (1997) Non-normal parameter blowout bifurcation: An example in a truncated mean-field dynamo model Physical Review E, 56 . pp. 6451-6458.

Cullen, M. J.P., Roulstone, I. and Sewell, M. J. (2005) Generalised semi-geostrophic theory on a sphere Journal of Fluid Mechanics, 531 . pp. 123-157. ISSN 0022-1120

D

Deane, J. H. B. (1999) From circuits to spectral peaks 5 . pp. 274-277.

Deane, Jonathan H. B., Ashwin, Peter, Hamill, David C. and Jefferies, David J. (1999) Calculation of the periodic spectral components in a chaotic DC-DC converter IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 46 . pp. 1313-1319.

Deane, Jonathan H. B. and Jefferies, David J. (1998) Succinct representation of the Poincare map for periodically driven differential equations Complexity International, 6 .

Derks, G, Doelman, A, van Gils, S A and Susanto, H (2007) Stability Analysis of &#960-Kinks in a 0-&#960 Josephson Junction SIAM Journal on Applied Dynamical Systems, 6 (1). pp. 99-141. ISSN 15360040

Derks, Gianne, Doelman, A., van Gils, S. A. and Susanto, H. (2007) Stability analysis of p-kinks in a 0-p Josephson junction SIAM Journal on Applied Dynamical Systems, 6 (1). pp. 99-141. ISSN 15360040

Derks, Gianne and Gottwald, Georg A (2005) A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves SIAM Journal on Applied Dynamical Systems, 4 (1). pp. 140-158. ISSN 15360040

Derks, Gianne and Gottwald, Georg A. (2005) A robust numerical method to study oscillatory instability of gap solitary waves Dynamical Systems, 4 . pp. 140-158.

Derks, Gianne and Ratiu, Tudor (1998) Attracting curves on families of stationary solutions in two-dimensional Navier-Stokes and reduced magnetohydrodynamics Proceedings of the Royal Society of London A, 454 . pp. 1407-1444.

Derks, Gianne and van Groesen, E. (1996) Dissipation in Hamiltonian systems: decaying cnoidal waves SIAM Journal on Mathematical Analysis, 27 . pp. 1424-1447.

E

Efendiev, M and Zelik, Sergey (2008) Finite and infinite dimensional attractors for porous media equations Proc. R. Soc. London A .

F

Falconer, Ian, Gottwald, Georg A., Melbourne, Ian and Wormnes, Kjetil (2007) Application of the 0-1 Test for Chaos to Experimental Data SIAM Journal on Applied Dynamical Systems, 6 (2). pp. 395-402. ISSN 15360040

Field, M, Melbourne, Ian and Torok, A (2007) Stability of mixing and rapid mixing for hyperbolic flows Annals of Mathematics . pp. 269-291.

Field, M., Melbourne, I., Nicol, M. and Török , A. (2005) Statistical properties of compact group extensions of Hyperbolic flows and their time one maps Disc. Cont. Dyn. Syst., 12 (2005).

Field, Michael, Melbourne, Ian and Török, Andrei (2005) Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets Dynamical Systems, 25 . pp. 517-551.

Field, Michael, Melbourne, Ian and Török, Andrew (2003) Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions Dynamical Systems, 23 . pp. 87-110.

Forbes, Richard G, Deane, Jonathan H B and Shail, R W (2007) Exact Mathematical Solution for the Principal Field Emission Correction Function v Used in Standard Fowler-Nordheim Theory In: 2007 IEEE 20th International Vacuum Nanoelectronics Conference.

Forbes, Richard G., Deane, Jonathan H. B., Hamid, Nabil and Sim, Hwa San (2004) Extraction of emission area from Fowler–Nordheim plots Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, 22 (3). pp. 1222-1226. ISSN 0734211X

G

Gammack, David and Hydon, Peter E. (2001) Flow in pipes with non-uniform curvature and torsion Journal of Fluid Mechanics, 433 . pp. 357-382.

Ghazaryan, A and Sandstede, Bjorn (2007) Nonlinear convective instability of Turing-unstable fronts near onset: A case study. Dynamical Systems . pp. 319-347.

Gloubitsky, M., LeBlanc, V. G. and Melbourne, Ian (2000) Hopf Bifurcation from Rotating Waves and Patterns in Physical Space Journal of Nonlinear Science, 10 (1). pp. 69-101. ISSN 0938-8974

Golubitsky, M., LeBlanc, V. G. and Melbourne, Ian (1997) Meandering of the Spiral Tip: An Alternative Approach Journal of Nonlinear Science, 7 (6). pp. 557-586. ISSN 0938-8974

Golubitsky, Martin, Mao, Jian-Min and Nicol, Matthew (1996) Symmetries of periodic solutions for planar potential systems Proceedings of the American Mathematical Society, 124 . pp. 3219-3228.

Gottwald, Georg and Melbourne, Ian (2008) Comment on "Reliability of the 0-1 test for chaos" Physical Review E, 77 (028201). ISSN 1539-3755

Gottwald, Georg A. and Melbourne, Ian (2004) A new test for chaos in deterministic systems Proceedings of the Royal Society of London A, 460 . pp. 603-611.

Gourley, S A and Kuang, Y (2005) A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection SIAM Journal on Applied Mathematics, 65 (2). pp. 550-566. ISSN 00361399

Gourley, Stephen A, Liu, Rongsong and Wu, Jianhong (2007) Some Vector Borne Diseases With Structured Host Populations: Extinction and Spatial Spread SIAM Journal on Applied Mathematics, 67 (2). pp. 408-433. ISSN 00361399

Gourley, Stephen A and Zou, Xingfu (2008) A Mathematical Model for the Control and Eradication of a Wood Boring Beetle Infestation SIAM Journal on Applied Mathematics, 68 (6). pp. 1665-1687. ISSN 00361399

Gourley, Stephen A., Liu, R. and Wu, J. (2007) Some vector borne diseases with structured host populations: extinction and spatial spread SIAM Journal on Applied Mathematics, 67 (2). pp. 408-433. ISSN 00361399

Grasselli, M, Pata, V, Miranville, A and Zelik, Sergey (2007) Long time behavior of a parabolic-hyperbolic phase-field system with a singular potential Mathematische Nachrichten, 13 (13-14). pp. 13-14. ISSN 0025584X

Grenier, Emmanuel, Jones, Christopher K. R. T., Rousset, Frederic and Sandstede, Björn (2004) Viscous perturbations of marginally stable Euler flow and finite-time Melnidov theory Nonlinearity, 18 (2). pp. 465-483. ISSN 0951-7715

H

Hadjiloukas, D., Nicol, Matthew and Walkden, C. (2002) Regularity of invariant graphs over hyperbolic systems Dynamical Systems, 22 . pp. 469-482.

Hamill, David C., Deane, Jonathan H. B. and Aston, Philip J. (1997) Some applications of chaos in power converters IEE Colloquium: Update on New Power Electronic Techniques (Digest No: 1997/091 .

Hoveijn, I., Lamb, J. S. W. and Roberts, R. M. (2002) Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two Journal of Difefrential Equations, 190 . pp. 182-213.

Hoyle, Rebecca, Anghel, A. T., Proctor, M. R.E. and King, D. A. (2007) Pattern formation during the oxidation of CO on Pt{100}: a mesoscopic model Physical Review Letters, 98 (226102). ISSN 0031-9007

Hoyle, Rebecca B. (2000) Cross-Newell equations for hexagons and triangles Physical Review E, 61 (3). pp. 2506-2512. ISSN 1063-651X

Hoyle, Rebecca B. (2004) Shapes and cycles arising at the steady bifurcation with icosahedral symmetry Physica D, 191 . pp. 261-281.

Hoyle, Rebecca B. (1998) Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation Physical Review E, 58 (6). pp. 7315-7318. ISSN 1063-651X

Hoyle, Rebecca B. and Mehta, Anita (1999) Two-Species Continuum Model for Aeolian Sand Ripples Physical Review Letters, 83 (24). pp. 5170-5173. ISSN 0031-9007

Hoyle, Rebecca B. and Woods, A. W. (1997) Analytical model of propagating sand ripples Physical Review E, 56 . pp. 6861-6868.

Hydon, P. E. (1998) Discrete point symmetries of ordinary differential equations Proceedings of the Royal Society of London A, 454 . pp. 1961-1972.

Hydon, P. E. (2000) How to construct the discrete symmetries of partial differential equations European Journal of Applied Mathematics, 11 . pp. 515-527.

Hydon, P. E. (2000) Symmetries and first integrals of ordinary difference equations Proceedings of the Royal Society of London A, 456 . pp. 2835-2855.

Hydon, Peter E. (1998) How to Find Discrete Contact Symmetries Journal of Nonlinear Mathematical Physics, 5 . pp. 405-416.

Hydon, Peter E. (2004) Self-Invariant Contact Symmetries Journal of Non-linear Mathematical Physics, 11 (2). pp. 233-242. ISSN 1402-9251

J

Jefferies, David J. and Deane, Jonathan H. B. (1997) Noise, traps and snags in iterating systems Proceedings of the 1997 European Conference on Circuit Theory and Design(ECCTD’97) .

Jefferies, David J. and Deane, Jonathan H. B. (1998) The Variable Structure System: Intermittency, Chaos, and Trapping in Electronic Experiments and Simulations Complexity International, 6 (1998).

K

Kapitula, T., Kevrekidis, P. G. and Sandstede, B. (2004) Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Physica D, 195 (2004). pp. 263-282.

Kapitula, T., Kutz, N. and Sandstede, B. (2004) The Evans function for nonlocal equations Indiana University Mathematics Journal, 53 (2004).

Kozin, I. N. and Roberts, R. M. (2003) Monodromy in the spectrum of a rigid symmetric top molecule in an electric field The Journal of Chemical Physics, 118 (23). pp. 10523-10533. ISSN 00219606

Kyrychko, Y, Gourley, S A and Bartuccelli, M V (2006) Dynamics of a Stage-Structured Population Model on an Isolated Finite Lattice SIAM Journal on Mathematical Analysis, 37 (5). pp. 1688-1708. ISSN 00361410

Kyrychko, Yuliya N. and Bartuccelli, Michele V. (2004) Length scales for the Navier–Stokes equations on a rotating sphere Physics Letters A, 324 . pp. 2-3.

L

Laine-Pearson, F E and Hydon, P E (2006) Particle Transport in a Moving Corner Journal of Fluid Mechanics, 559 . pp. 379-390. ISSN 0022-1120

Lamb, J. S. W., Melbourne, I. and Wulff, C. (2002) Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions Journal of Differential Equations . pp. 377-407.

Lamb, J. S.W. and Melbourne, Ian (2007) Normal form theory for relative equilibria and relative periodic solutions Transactions of the American Mathematical Society, 359 . pp. 4537-4556.

Lamb, Jeroen S W and Melbourne, Ian (2007) Normal Form Theory for Relative Equilibria and Relative Periodic Solutions Transactions of the American Mathematical Society, , 359 . pp. 4537-4556.

Lamb, Jeroen S. W. and Wulff, Claudia (2001) Reversible Relative Periodic Orbits Journal of Differential Equations, 178 . pp. 60-100.

Lloyd, D J and Champneys, A R (2005) Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons SIAM Journal on Scientific Computing, 27 (3). pp. 759-773.

Lloyd, David J B, Sandstede, Bjorn, Avitabile, Daniele and Champneys, Alan R (2008) Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation SIAM Journal on Applied Dynamical Systems, 7 (3). pp. 1049-1100. ISSN 15360040

Luzzatto, Stefano, Melbourne, Ian and Paccaut, Frederic (2005) The Lorenz attractor is mixing Communications in Mathematical Physics .

M

Mansfield, E. L. and Hydon, Peter E. (2001) Towards approximations which preserve integrals Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation . pp. 217-222.

Melbourne, Ian (2007) Rapid Decay of Correlations for Nonuniformly Hyperbolic Flows Transactions of the American Mathematical Society, 359 . pp. 2421-2441.

Melbourne, Ian (2007) Rapid decay of correlations for nonuniformly hyperbolic flows Transactions of the American Mathematical Society, 359 . pp. 2421-2441.

Melbourne, Ian (1999) Steady-state bifurcation with Euclidean symmetry Transactions of the American Mathematical Society, 4 . pp. 1575-1603.

Melbourne, Ian and Gottwald, Georg A. (2008) Power spectra for deterministic chaotic dynamical systems Nonlinearity, 21 (1). pp. 179-189. ISSN 0951-7715

Melbourne, Ian and Nicol, Matthew (2005) Almost sure invariance principle for nonuniformly hyperbolic systems Communications in Mathematical Physics .

Melbourne, Ian and Nicol, Matthew (2008) Large Deviations for Nonuniformly Hyperbolic Systems Transactions of the American Mathematical Society, , 360 . pp. 6661-6676.

Melbourne, Ian and Nicol, Matthew (2003) Stable transitivity of Euclidean group extensions Dynamical Systems .

Melbourne, Ian and Nicol, Matthew (2003) Statistical limit laws for equivariant observations Stochastics & Dynamics, 4 . pp. 1-13.

Melbourne, Ian and Nicol, Matthew (2004) Statistical properties of endomorphisms and compact group extensions Journal of the London Mathematical Society .

Melbourne, Ian, Nitica, V. and Torok, A. (2005) Stable transitivity of certain noncompact extensions of hyperbolic systems Annales Henri Poincaré, 6 (4). pp. 725-746. ISSN 1424-0637

Melbourne, Ian and Schneider, Guido (2004) Phase dynamics in the real Ginzburg-Landau equation Mathematische Nachrichten, 263-264 (1). pp. 171-180. ISSN 0025-584X

Melbourne, Ian and Stewart, Ian N. (1997) Symmetric omega-limit sets for smooth Gamma-equivariant dynamical systems with Gamma⁰ Abelian Nonlinearity, 10 . pp. 1551-1567.

Melbourne, Ian and Török, Andrei (2004) Statistical Limit theorems for suspension flows Israel Journal of Math, 144 (2004). pp. 191-209.

Melbourne, Ian and Windsor, A. (2005) A C^\infty diffeomorphism with infinitely many intermingled basins Dynamical Systems .

Mendes, Miguel and Nicol, Matthew (2004) Periodicity and recurrence in piecewise rotations of Eucledian spaces International Journal of Bifurcation and Chaos, 14 . pp. 2353-2361.

Montaldi, J. A. and Roberts, R. M. (1999) Relative Equilibria of Molecules Journal of Nonlinear Science, 9 (1). pp. 53-88. ISSN 0938-8974

N

Nicol, Matthew (1996) A Bernoulli toral linked twist map without positive Lyapunov exponents Proceedings of the American Mathematical Society, 124 . pp. 1253-1263.

Nicol, Matthew (2001) Induced maps of Bernoulli dynamical systems Discrete and Continuous Dynamical Systems, 7 . pp. 147-154.

Nicol, Matthew, Melbourne, Ian and Ashwin, Peter (2000) Euclidean extensions of dynamical systems Nonlinearity, 14 . pp. 275-300.

Nicol, Matthew and Pollicott, Mark (2001) Livsic's Theorem for Semisimple Lie Groups Dynamical Systems . pp. 1501-1509.

O

Oliver, Marcel, West, Matthew and Wulff, Claudia (2004) Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations Numerische Mathematik, 97 . pp. 493-535.

P

Patrick, G, Roberts, R M and Wulff, C (2008) Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems Nonlinearity, 21 (2). ISSN 0951-7715

R

Rademacher, Jens D.M., Sandstede, Bjorn and Scheel, Arnd (2007) Computing absolute and essential spectra using continuation Physica D, 229 . pp. 166-183.

Reich, Sebastian (1999) Backward Error Analysis for Numerical Integrators SIAM Journal on Numerical Analysis . pp. 1549-1570.

Reich, Sebastian (1999) Multiple Time Scales in Classical and Quantum–Classical Molecular Dynamics Journal of Computational Physics, 151 (1). pp. 49-73. ISSN 00219991

Roubtsov, V. N. and Roulstone, I. (2001) Holomorphic structures in hydrodynamical models of nearly geostrophic flow Proceedings of the Royal Society of London A, 457 . pp. 1519-1531.

Roulstone, I. and Sewell, M. J. (1997) The mathematical structure of theories of semigeostrophic type Philosophical Transactions of the Royal Society of London A, 355 . pp. 2489-2517.

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Sahadevan, R., Rasin, Olexandr and Hydon, Peter E (2007) Integrability conditions for nonautonomous quad-graph equations Journal of Mathematical Analysis and Applications, 331 . pp. 712-726.

Sandstede, B. and Scheel, A, (2004) Evans function and blow-u[ methods in critical eienvalue problems Discrete and Continuous Dynamical Systems, 10 (2004).

Sandstede, Bjorn and Scheel, A (2008) Relative Morse indices, Fredholm indices, and group velocities Discrete and Continuous Dynamical Systems A . pp. 139-158.

Sandstede, Bjorn and Scheel, Arnd (2006) Absolute instabilities of standing pulses Nonlinearity, 18 (2005).

Sandstede, Bjorn and Scheel, Arnd (2004) Defects in Oscillatory Media: Toward a Classification Dynamical Systems, 3 . pp. 1-68.

Sandstede, Bjorn and Scheel, Arnd (2008) Hopf Bifurcation From Viscous Shock Waves SIAM Journal on Mathematical Analysis, 39 (6). pp. 2033-2052. ISSN 00361410

Sandstede, Bjorn and Scheel, Arnd (2007) Period-Doubling of Spiral Waves and Defects SIAM Journal on Applied Dynamical Systems, 6 (2). pp. 494-547. ISSN 15360040

Schilder, Frank (2007) Rauto: running AUTO more efficiently .

Schley, D. and Gourley, S. A. (2002) Linear and nonlinear stability in a diffusional ecotoxicological model with time delays Discrete and Continuous Dynamical Systems, 2 . pp. 575-590.

Shail, R. (2000) A class of infinite sums and integrals Mathematics of Computation, 70 . pp. 789-799.

Simons, R R and Gourley, S A (2006) Extinction Criteria in Stage-Structured Population Models with Impulsive Culling SIAM Journal on Applied Mathematics, 66 (6). pp. 1853-1870. ISSN 00361399

Skeldon, A C and Guidoboni, G (2007) Pattern Selection for Faraday Waves in an Incompressible Viscous Fluid SIAM Journal on Applied Mathematics, 67 (4). pp. 1064-1100. ISSN 00361399

Skeldon, Anne C. and Purvey, Ian (2005) The effect of different forms for the delay in a model of the nephron Mathematical Biosciences and Engineering, 2 . pp. 97-109.

Susanto, H., van Gils, S. A., Doelman, A. and Derks, G. (2004) Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3 φ₀ /2-flux case Physical Review B, 69 (212503). ISSN 1098-0121

T

Terry, John R., Thornburg, K. Scott, DeShazer, David J., VanWiggeren, Gregory D., Zhu, Shiqun, Ashwin, Peter and Roy, Rajarshi (1999) Synchronization of chaos in an array of three lasers Physical Review E, 59 (4). pp. 4036-4043. ISSN 1063-651X

Tonks, M.R., Beaudoin, A.J., Schilder, Frank and Tortorelli, D.A. (2008) Investigation of Preferred Orientations in Planar Polycrystals .

Tse, D. P., Rucklidge, A. M., Hoyle, Rebecca B. and Silber, M. (2000) Spatial period-multiplying instabilities of hexagonal Faraday waves Physica D, 146 . pp. 367-387.

W

White, A, A., Hoskins, B. J., Roulstone, I. and Staniforth, A. (2005) Consistent approximate models of the global atmosphere: shallow, deep hydrostatic, quasi-hydrostatic and non-hydrostatic

Wulff, C (2008) A Hamiltonian Analogue of the Meandering Transition SIAM Journal on Applied Dynamical Systems, 7 (4). pp. 1213-1246. ISSN 1536-0040

Wulff, Claudia, Lamb, Jeroen S. W. and Melbourne, Ian (2001) Bifurcation from relative periodic solutions Dynamical Systems, 21 . pp. 605-635.

Wulff, Claudia and Roberts, R. M. (2002) Hamiltonian Systems Near Relative Periodic Orbits Dynamical Systems, 1 . pp. 1-43.

Wulff, Claudia and Schebesch, Andreas (2006) Numerical Continuation of Symmetric Periodic Orbits SIAM Journal on Applied Dynamical Systems, 5 (3). pp. 435-475. ISSN 15360040

Z

Zelik, Sergey (2007) Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains Journal of Dynamics and Differential Equations, 19 (1). pp. 1-74. ISSN 1040-7294