A variational principle for impulsive semiflows

José F. Alves; Maria Carvalho; Carlos H. Vásquez

doi:10.1016/j.jde.2015.05.017

A variational principle for impulsive semiflows

José F. Alves, Maria Carvalho, Carlos H. Vásquez

INSTITUTE OF MATHEMATICS

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10 Scopus citations

Abstract

We deduce a variational principle for impulsive semiflows defined on compact metric spaces. In particu-lar, we generalize the classical notion of topological entropy to our setting of discontinuous semiflows.

Original language	English
Pages (from-to)	4229-4252
Number of pages	24
Journal	Journal of Differential Equations
Volume	259
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2015.05.017
State	Published - 2015

Keywords

Entropy
Impulsive dynamical system
Variational principle

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10.1016/j.jde.2015.05.017

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title = "A variational principle for impulsive semiflows",

abstract = "We deduce a variational principle for impulsive semiflows defined on compact metric spaces. In particu-lar, we generalize the classical notion of topological entropy to our setting of discontinuous semiflows.",

keywords = "Entropy, Impulsive dynamical system, Variational principle",

author = "Alves, {Jos{\'e} F.} and Maria Carvalho and V{\'a}squez, {Carlos H.}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

doi = "10.1016/j.jde.2015.05.017",

language = "English",

volume = "259",

pages = "4229--4252",

journal = "Journal of Differential Equations",

issn = "0022-0396",

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T1 - A variational principle for impulsive semiflows

AU - Alves, José F.

AU - Carvalho, Maria

AU - Vásquez, Carlos H.

PY - 2015

Y1 - 2015

N2 - We deduce a variational principle for impulsive semiflows defined on compact metric spaces. In particu-lar, we generalize the classical notion of topological entropy to our setting of discontinuous semiflows.

AB - We deduce a variational principle for impulsive semiflows defined on compact metric spaces. In particu-lar, we generalize the classical notion of topological entropy to our setting of discontinuous semiflows.

KW - Entropy

KW - Impulsive dynamical system

KW - Variational principle

UR - http://www.scopus.com/inward/record.url?scp=84942835772&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2015.05.017

DO - 10.1016/j.jde.2015.05.017

M3 - Article

AN - SCOPUS:84942835772

SN - 0022-0396

VL - 259

SP - 4229

EP - 4252

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 8

ER -

A variational principle for impulsive semiflows

Abstract

Keywords

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