Ian Melbourne's Reprint List
Heteroclinic Cycles
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M. Krupa and I. Melbourne. Asymptotic stability of heteroclinic cycles in
systems with symmetry, II.
Proc. Roy. Soc. Edinburgh A 134A (2004) 1177-1197
( abstract,
postscript file or
pdf file )
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I. Melbourne, M. R. E. Proctor and A. M. Rucklidge.
A heteroclinic model of geodynamo reversals and excursions.
Dynamo and Dynamics, a Mathematical Challenge
(P. Chossat et al. eds.) Kluwer, Netherlands, 2001, 363-370
( abstract /
postscript file or
pdf file )
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P. Chossat, M. Krupa, I. Melbourne and A. Scheel.
Magnetic dynamos in rotating convection --- A dynamical systems
approach.
Dynamics of Continuous, Discrete and Impulsive Systems
5 (1999) 327-340
( abstract,
postscript file or
pdf file )
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P. Chossat, M. Krupa, I. Melbourne and A. Scheel.
Transverse bifurcations of heteroclinic cycles in symmetric systems.
Physica D 100 (1997) 85-100
( abstract /
postscript file or
pdf file )
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M. Krupa and I. Melbourne. Asymptotic stability of heteroclinic cycles in
systems with symmetry.
Ergodic Theory Dyn. Syst. 15 (1995) 121-147
( abstract /
postscript file or
pdf file )
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M. Krupa and I. Melbourne. Nonasymptotically stable attractors in O(2)
mode interactions.
Normal Forms and Homoclinic Chaos
(W. Langford and W. Nagata eds.) Fields Institute
Communications 4,
Amer. Math. Soc., Providence, RI, 1995, 219-232
( abstract /
postscript file or
pdf file )
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I. Melbourne.
An example of a non-asymptotically stable attractor,
Nonlinearity 4 (1991) 835-844
( abstract )
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I. Melbourne, P. Chossat and M. Golubitsky. Heteroclinic cycles
involving periodic solutions in mode interactions with O(2)
symmetry, Proc. Roy. Soc. Edinburgh 113A (1989)
315-345. Also in New Directions in Differential Equations
and Dynamical Systems J.M. Ball ed. Roy. Soc. Edinburgh (1991)
( abstract )
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I. Melbourne.
Intermittency as a codimension three phenomenon,
J. Dyn. Diff. Eqn. 1 (1989) 347-367
( abstract )