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

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**52**.

## Article

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.

Abreu, Stella, Aston, Philip J. 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.
pp. 32-52.

Al-Omari, J F and Gourley, S A
(2005)
*A Nonlocal Reaction-Diffusion Model for a Single Species with Stage Structure and Distributed Maturation Delay*
European Journal of Applied Mathematics, 16 (1).

Bassetto, A, Pol, GD, Torrielli, A and Vian, F
(2005)
*On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions*
Journal of High Energy Physics (05).

Bevan, J
(2005)
*Singular minimizers of strictly polyconvex functionals in R-2X2*
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 23 (3).
pp. 347-372.

Bridges, T J
(2005)
*Steady Dark Solitary Waves Emerging from Wave-Generated Meanflow: The Role of Modulation Equations*
Chaos: An Interdisciplinary Journal of Nonlinear Science, 15 (3).

Bridges, T J and Donaldson, N M
(2005)
*Degenerate Periodic Orbits and Homoclinic Torus Bifurcation*
Physical Review Letters, 95 (10).

Bridges, T. 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).

Bridges, T. J., Hydon, P. E. and Reich, Sebastien
(2005)
*Vorticity and symplecticity in Lagrangian fluid dynamics*
Journal of Physics A: Mathematical and General, 38 (6).
pp. 1403-1418.

Bridges, T. J. and Laine-Pearson, F. 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.

Bridges, T.J. and Laine-Pearson, F. 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.

Bruin, H, Holland, M and Melbourne, I
(2005)
*Subexponential Decay of Correlations for Compact Group Extensions of Non-Uniformly Expanding Systems*
Ergodic Theory and Dynamical Systems, 25 (06).

Bruin, H, Holland, M and Nicol, M
(2005)
*Livsic Regularity for Markov Systems*
Ergodic Theory and Dynamical Systems, 25 (06).

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

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.

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

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
(2005)
*Topological invariance of the sign of the Lyapunov Exponents in one-dimensional maps*
Proc. Amer. Math. Soc., 134 (1).
pp. 265-272.

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

Carpentieri, M, Corti, A and Lombardi, L
(2005)
*Life cycle assessment (LCA) of an integrated biomass gasification combined cycle IBGCQ with CO2 removal*
Energy Conversion and Management, 46 (11-12).
pp. 1790-1808.

Cullen, MJP, Douglas, RJ, Roulstone, I and Sewell, MJ
(2005)
*Generalized semi-geostrophic theory on a sphere*
JOURNAL OF FLUID MECHANICS, 531.
pp. 123-157.

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.

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.

Efendiev, M, Zelik, S and Miranville, A
(2005)
*Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems*
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 135.
pp. 703-730.

Field, M, Melbourne, I and Torok, A
(2005)
*Stable Ergodicity for Smooth Compact Lie Group Extensions of Hyperbolic Basic Sets*
Ergodic Theory and Dynamical Systems, 25 (2).

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.

Gentile, G, Bartuccelli, Michele and Deane, Jonathan
(2005)
*Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms*
Journal of Mathematical Physics.

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.

Gutowski, JB and Sabra, W
(2005)
*General Supersymmetric Solutions of Five-Dimensional Supergravity*
JHEP, 0510.

Lloyd, David and Champneys, AR
(2005)
*Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons*
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27 (3).
pp. 759-773.

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

Melbourne, I and Windsor, A
(2005)
*A C-infinity Diffeomorphism with Infinitely Many Intermingled Basins*
Ergodic Theory and Dynamical Systems, 25 (06).

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

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.

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

Miranville, A and Zelik, S
(2005)
*Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions*
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 28 (6).
pp. 709-735.

Rihan, FA, Collier, CG and Roulstone, I
(2005)
*Four-dimensional variational data assimilation for Doppler radar wind data*
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 176 (1).
pp. 15-34.

Shmerkin, P
(2005)
*A modified multifractal formalism for a class of self-similar measures with overlap*
The Asian Journal of Mathematics, 9 (3).
pp. 323-348.

Sieg, C and Torrielli, A
(2005)
*Wrapping interactions and the genus expansion of the 2-point function of composite operators*
Nuclear Physics B, 723 (1-2).
pp. 3-32.

Skeldon, AC and Purvey, I
(2005)
*The effect of different forms for the delay in a model of the nephron*
Mathematical Biosciences and Engineering, 2 (1).
pp. 97-109.

Torrielli, A and Fortunato, L
(2005)
*Theory of light emission in sonoluminescence based upon transitions in confined atoms*
Eur. Phys. J. D, 33.

Turaev, D, Zelik, S and Vladimirov, AG
(2005)
*Chaotic bound state of localized structures in the complex ginzburg-landau equation*
Optics InfoBase Conference Papers.

White, AA, Hoskins, BJ, Roulstone, I and Staniforth, A
(2005)
*Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi-hydrostatic and non-hydrostatic*
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 131 (609).
pp. 2081-2107.

Wolf, M
(2005)
*On hidden symmetries of a super gauge theory and twistor string theory*
JHEP 0502 (2005) 018.

Wolf, M, Popov, AD and Saemann, C
(2005)
*The topological B-model on a mini-supertwistor space and supersymmetric Bogomolny monopole equations*
JHEP 0510 (2005) 058.

Wolf, M, Popov, AD and Sergeev, AG
(2005)
*Non-trivial solutions of the Seiberg-Witten equations on the non-commutative four-dimensional Euclidean space*
Proc Steklov Inst 251 (2005) 127.

## Book Section

McOrist, J and Melrose, DB
(2005)
*Pair modes in relativistic quantum plasmas*
In:
Hines Memorial Volume.
UNSPECIFIED.

Torrielli, A
(2005)
*Focus on quantum field theory*
In:
Focus on quantum field theory.
Nova Science Pub Inc.
ISBN 1594541264

## Conference or Workshop Item

Forbes, RG and Deane, JHB
(2005)
*Fowler-nordheim parameters for sharply-curved emitters*

Triantafyllopoulos, K, Godolphin, JD and Godolphin, Edward
(2005)
*Process improvement in the microelectronic industry by a state space modelling*
In: 4th Annual Meeting of the European-Network-of-Business-and-Industrial-Statisticians, 2004-09 - ?, Copenhagen, DENMARK.

Watkinson, LR, Lawless, AS, Nichols, NK and Roulstone, I
(2005)
*Variational data assimilation for Hamiltonian problems*
In: 8th ICFD Conference on Numerical Methods for Fluid Dynamics, 2004 - ?, Oxford Univ Comp Lab, Oxford, ENGLAND.