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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	475-490
Número de páginas	16
Publicación	Journal of Dynamical and Control Systems
Volumen	20
N.º	4
DOI	https://doi.org/10.1007/s10883-014-9217-8
Estado	Publicada - oct 2014
Publicado de forma externa	Sí

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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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