# Items where Author is "Melbourne, Ian"

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**27**.

## 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, 263-26 (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 Gamma ^{0} 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.