Topological Fiber Entropy for Linear Flows on Vector Bundles

Topological Fiber Entropy for Linear Flows on Vector Bundles

For linear flows on vector bundles, it is shown that the topological entropy of lower dimensional subspaces in the fibers is determined by the Morse spectrum over chain recurrent components of the induced flows on Grassmann bundles.

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Veröffentlicht in:Journal of dynamical and control systems 2014-10, Vol.20 (4), p.475-490
Hauptverfasser: Colonius, Fritz, San Martin, Luiz A.B., da Silva, Adriano J.
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Control
Dynamical Systems
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Systems Theory
Vibration
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Beschreibung
Zusammenfassung:For linear flows on vector bundles, it is shown that the topological entropy of lower dimensional subspaces in the fibers is determined by the Morse spectrum over chain recurrent components of the induced flows on Grassmann bundles.
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-014-9217-8