Switching homoclinic networks

A.J. Homburg, J. Knobloch

Research output: Contribution to JournalArticleAcademicpeer-review


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. © 2010 Taylor & Francis.
Original languageEnglish
Pages (from-to)351-358
JournalDynamical Systems-an International Journal
Issue number3
Publication statusPublished - 2010


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