Topological Fiber Entropy for Linear Flows on Vector Bundles

Fritz Colonius; Luiz A.B. San Martin; Adriano J. da Silva

doi:10.1007/s10883-014-9217-8

Topological Fiber Entropy for Linear Flows on Vector Bundles

Fritz Colonius
, Luiz A.B. San Martin
, Adriano J. da Silva

Augsburg University
Universidade Estadual de Campinas

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	475-490
Number of pages	16
Journal	Journal of Dynamical and Control Systems
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s10883-014-9217-8
State	Published - Oct 2014
Externally published	Yes

Keywords

Bilinear control systems
Linear flows
Topological entropy

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10.1007/s10883-014-9217-8

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@article{5fdbfb9c0ee948039813112a2bd2d488,

title = "Topological Fiber Entropy for Linear Flows on Vector Bundles",

abstract = "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.",

keywords = "Bilinear control systems, Linear flows, Topological entropy",

author = "Fritz Colonius and \{San Martin\}, \{Luiz A.B.\} and \{da Silva\}, \{Adriano J.\}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",

year = "2014",

month = oct,

doi = "10.1007/s10883-014-9217-8",

language = "English",

volume = "20",

pages = "475--490",

journal = "Journal of Dynamical and Control Systems",

issn = "1079-2724",

number = "4",

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T1 - Topological Fiber Entropy for Linear Flows on Vector Bundles

AU - Colonius, Fritz

AU - San Martin, Luiz A.B.

AU - da Silva, Adriano J.

PY - 2014/10

Y1 - 2014/10

N2 - 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.

AB - 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.

KW - Bilinear control systems

KW - Linear flows

KW - Topological entropy

UR - https://www.scopus.com/pages/publications/84920256102

U2 - 10.1007/s10883-014-9217-8

DO - 10.1007/s10883-014-9217-8

M3 - Article

AN - SCOPUS:84920256102

SN - 1079-2724

VL - 20

SP - 475

EP - 490

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Topological Fiber Entropy for Linear Flows on Vector Bundles

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Keywords

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