Introduction to Discontinuous Dynamical Systems : Dynamical Behaviour of a Class of Discontinuous Maps and Related Topics

Language: English

Published by LAP LAMBERT Academic Publishing, 2010

3843379122 / 9783843379120

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - The topics of this book are dynamical behaviour of a class of discontinuous maps including piecewise linear maps on the 2-torus and planar piecewise isometries, some preliminary symbolic dynamics approach to these maps, and some aspects of symbolic dynamics itself. At first, a class of piecewise linear parabolic maps on the torus are discussed. Then some area-preserving piecewise linear discontinuous maps of the plane are examined. Symbolic descriptions of the dynamics and admissibility conditions for itineraries of a class of linear maps on the 2-torus and some planar piecewise isometries are discussed. For the symbolic dynamical system itself, scrambled sets of shift maps are discussed, and some problems related to maximal scrambled sets are also discussed. For the subshifts generated by the orbit closures of certain non-periodic recurrent points, their chaotic properties are investigated. Moreover, a general and systematic discussion of various symbolic representations of iterated maps through subshifts are presented, and examples of partitions and representations of some discontinuous maps are given.…

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Title
Introduction to Discontinuous Dynamical Systems : Dynamical Behaviour of a Class of Discontinuous Maps and Related Topics
Author
Xinchu Fu
Publisher
LAP LAMBERT Academic Publishing
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3843379122
ISBN 13
9783843379120
Item weight
304 grams
Dimensions
220x150x13 mm

AHA-BUCH GmbH

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