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Ian Melbourne
Ian Melbourne
Professor of Mathematics, University of Warwick
Verified email at warwick.ac.uk - Homepage
Title
Cited by
Cited by
Year
A new test for chaos in deterministic systems
GA Gottwald, I Melbourne
Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2004
7222004
On the implementation of the 0–1 test for chaos
GA Gottwald, I Melbourne
SIAM Journal on Applied Dynamical Systems 8 (1), 129-145, 2009
5002009
Testing for chaos in deterministic systems with noise
GA Gottwald, I Melbourne
Physica D: Nonlinear Phenomena 212 (1-2), 100-110, 2005
3822005
Asymptotic stability of heteroclinic cycles in systems with symmetry
M Krupa, I Melbourne
Ergodic Theory and Dynamical Systems 15 (1), 121-147, 1995
2621995
Almost sure invariance principle for nonuniformly hyperbolic systems
I Melbourne, M Nicol
Communications in mathematical physics 260, 131-146, 2005
1972005
On the validity of the 0–1 test for chaos
GA Gottwald, I Melbourne
Nonlinearity 22 (6), 1367, 2009
1852009
Large deviations for nonuniformly hyperbolic systems
I Melbourne, M Nicol
Transactions of the American Mathematical Society 360 (12), 6661-6676, 2008
1782008
The 0-1 test for chaos: A review
GA Gottwald, I Melbourne
Chaos detection and predictability, 221-247, 2016
1722016
Heteroclinic cycles involving periodic solutions in mode interactions with O (2) symmetry
I Melbourne, P Chossat, M Golubitsky
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 113 (3 …, 1989
1521989
Application of the 0-1 test for chaos to experimental data
I Falconer, GA Gottwald, I Melbourne, K Wormnes
SIAM Journal on Applied Dynamical Systems 6 (2), 395-402, 2007
1472007
Steady-state bifurcation with 0 (3)-symmetry
P Chossat, R Lauterbach, I Melbourne
Archive for Rational Mechanics and Analysis 113 (4), 313-376, 1991
1431991
Asymptotic stability of heteroclinic cycles in systems with symmetry. II
M Krupa, I Melbourne
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 134 (6 …, 2004
1342004
The Lorenz attractor is mixing
S Luzzatto, I Melbourne, F Paccaut
Communications in Mathematical Physics 260, 393-401, 2005
1332005
An example of a nonasymptotically stable attractor
I Melbourne
Nonlinearity 4 (3), 835, 1991
1191991
A vector-valued almost sure invariance principle for hyperbolic dynamical systems
I Melbourne, M Nicol
1162009
Smooth approximation of stochastic differential equations
D Kelly, I Melbourne
1142016
Statistical limit theorems for suspension flows
I Melbourne, A Török
Israel Journal of Mathematics 144, 191-209, 2004
1102004
Large and moderate deviations for slowly mixing dynamical systems
I Melbourne
Proceedings of the American Mathematical Society 137 (5), 1735-1741, 2009
1032009
The structure of symmetric attractors
I Melbourne, M Dellnitz, M Golubitsky
Archive for rational mechanics and analysis 123, 75-98, 1993
961993
Meandering of the spiral tip: an alternative approach
M Golubitsky, VG LeBlanc, I Melbourne
Journal of nonlinear science 7, 557-586, 1997
951997
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