Some remarks on the abundance of stable periodic orbits inside homoclinic lobes

We consider a family F ϵ of area-preserving maps (APMs) with a hyperbolic point H ϵ whose invariant manifolds form a figure-eight and we study the abundance of elliptic periodic orbits visiting homoclinic lobes (EPL), a domain typically dominated by chaotic behavior. To this end, we use the Chirikov...

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Veröffentlicht in:	Physica. D 2011-12, Vol.240 (24), p.1936-1953
Hauptverfasser:	Simó, C., Vieiro, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abundance Chaos Dynamical systems Ergodicity Estimates Exact sciences and technology Invariants Lobes Mathematical analysis Mathematical models Orbits Physics Return maps Stability islands
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