Lin's method for heteroclinic chains involving periodic orbits

We present an extension of the theory known as Lin's method to heteroclinic chains that connect hyperbolic equilibria and hyperbolic periodic orbits. Based on the construction of a so-called Lin orbit, that is a sequence of continuous partial orbits that only have jumps in a certain prescribed...

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Veröffentlicht in:	Nonlinearity 2010-01, Vol.23 (1), p.23-54
Hauptverfasser:	Knobloch, Jürgen, Rieß, Thorsten
Format:	Artikel
Sprache:	eng
Schlagworte:	Bifurcations Construction Estimates Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematical methods in physics Mathematics Orbits Ordinary differential equations Other topics in mathematical methods in physics Physics Sciences and techniques of general use Subspaces Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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