Ian Melbourne's Reprint List
Symmetric Attractors
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P. Aston and I. Melbourne.
Lyapunov exponents of symmetric attractors.
Nonlinearity 19 (2006) 2455-2466
( abstract,
postscript file or
pdf file )
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S. Abreu, P. Aston and I. Melbourne.
Symmetric chaos in a local codimension two bifurcation
with the symmetry group of a square.
SIAM J Appl. Dyn. Sys 4 (2005) 32-52
( abstract,
postscript file or
pdf file .
The final two figures are in a separate
postscript file)
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I. Melbourne and I. Stewart.
Symmetric $\omega$-limit sets for smooth
$\Gamma$-equivariant dynamical systems with $\Gamma0$ abelian.
Nonlinearity 10 (1997) 1551-1567
( abstract,
postscript file or
pdf file )
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M. Field, I. Melbourne and M. Nicol.
Symmetric attractors for diffeomorphisms and flows.
Proc. London Math. Soc. 72 (1996) 657-696
( abstract,
postscript file or
pdf file )
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M. Dellnitz and I. Melbourne. A note on the shadowing lemma and
symmetric periodic points.
Nonlinearity 8 (1995) 1067-1075
( abstract,
postscript file or
pdf file )
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I. Melbourne.
Generalizations of a result on symmetry groups of attractors.
Pattern Formation: Symmetry Methods and
Applications (J. Chadam et al. eds.)
Fields Institute Communications 5, Amer. Math. Soc.,
Providence, RI, 1996
( abstract /
pdf file )
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P. Ashwin and I. Melbourne. Symmetry groups of attractors.
Arch. Rat. Mech. Anal. 126 (1994) 59-78
( abstract,
postscript file or
pdf file )
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I. Melbourne.
Instantaneous symmetry and symmetry on average in the Couette-Taylor
and Faraday experiments.
Dynamics, Bifurcations, Symmetry (P. Chossat ed.)
Kluwer, The Netherlands, 1994, 241-257
( abstract,
postscript file or
pdf file )
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I. Melbourne, M. Dellnitz and M. Golubitsky. Structure of symmetric
attractors. Arch. Rat. Mech. Anal. 123 (1993) 75-98
( abstract,
postscript file or
pdf file )
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M. Dellnitz, M. Golubitsky and I. Melbourne. Mechanisms of symmetry creation.
Bifurcation and Symmetry
(E. Allgower et al. eds.) ISNM 104, Birkhauser, Basel, 1992, 99-109
( abstract )