A cohomological index of Fuller type for set-valued dynamical systems
type: Item
instance of: scholarly article
title: A cohomological index of Fuller type for set-valued dynamical systems
zbMATH Open document ID: 1232.54023
author: Wojciech Kryszewski
author: Robert Skiba
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-12-08T00:00:00Z
review text: \textit{F. B. Fuller} [Am. J. Math. 89, 133--145 (1967; Zbl 0152.40204)] introduced an index counting the periodic orbits of a smooth vector field. Here the theory of a cohomological index of Fuller type is developed for the detection of periodic orbits of a set-valued dynamical system generated by a differential inclusion (in this setting solutions are not unique). This is used to find a general result on bifurcation of periodic orbits from an equilibrium point of a differential inclusion.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 55N05
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 5987800
zbMATH Keywords: set-valued map
zbMATH Keywords: differential inclusion
zbMATH Keywords: periodic orbit
zbMATH Keywords: Fuller index
MaRDI profile type: Publication
full work available at URL: j.na.2011.09.002
OpenAlex ID: W2048861320
Wikidata QID: Q96744803
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DOI: 10.1016/J.NA.2011.09.002
description: scientific article; zbMATH DE number 5987800