Switching homoclinic networks

Authors
Publication date 2010
Journal Dynamical Systems
Volume | Issue number 25 | 3
Pages (from-to) 351-358
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract A heteroclinic network for an equivariant ordinary differential equation is called switching if each sequence of heteroclinic trajectories in it is shadowed by a nearby trajectory. It is called forward switching if this holds for positive trajectories. We provide an elementary example of a switching robust homoclinic network and a related example of a forward switching asymptotically stable robust homoclinic network. The examples are for five-dimensional equivariant ordinary differential equations.
Document type Article
Note Corrigendum published in: Dynamical Systems (2010) 25, 3, p. 443.
Language English
Published at https://doi.org/10.1080/14689361003769770
Other links https://doi.org/10.1080/14689367.2010.499294
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