Destabilization by noise of transverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory
Author:
Affiliation:
1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW, UK
2. Faculty of Mathematics, University of Bucharest, Str. Academiei 14, Sector 1, Bucharest, Romania
Publisher
The Royal Society
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Link
https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1999.0498
Reference25 articles.
1. Ashwin P. Buescu J. & Stewart I. 1996 From attractor to chaotic saddle: a tale of transverse instability Nonlinearity 9 703-737.
2. Transverse bifurcations of homoclinic cycles
3. Magnetic dynamos in rotating convection: a dynamical systems approach;Chossat P.;Dyn. Cont. Discr. Impulsive Syst.,1999
4. Generalized Heteroclinic Cycles in Spherically Invariant Systems and Their Perturbations
5. Variance maintained by stochastic forcing of non-normal dynamical systems associated with linearly stable shear flows
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