Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems

Embedding techniques allow the approximations of finite dimensional attractors and manifolds of infinite dimensional dynamical systems via subdivision and continuation methods. These approximations give a topological one-to-one image of the original set. In order to additionally reveal their geometr...

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Veröffentlicht in:	arXiv.org 2019-02
Hauptverfasser:	Gerlach, Raphael, Koltai, Péter, Dellnitz, Michael
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Attractors (mathematics) Chaos theory Continuation methods Differential equations Dynamical systems Embedded systems Manifolds (mathematics)
Online-Zugang:	Volltext
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