Items where Author is "Melbourne, Ian"

Article

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

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.

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

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.

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

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

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

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

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

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.

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.

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

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

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

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.

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

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

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.

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

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

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

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

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

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.

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

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