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Bifurcation and chaos in discontinuous and continuous systems / Michal Feckan.

Springer Nature - Springer Physics and Astronomy eBooks 2011 English International Available online

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Format:
Book
Author/Creator:
Fečkan, Michal.
Series:
Nonlinear physical science.
Nonlinear physical science, 1867-8440
Language:
English
Subjects (All):
Bifurcation theory.
Chaotic behavior in systems.
Physical Description:
1 online resource (386 p.)
Edition:
1st ed. 2011.
Place of Publication:
Beijing : Higher Education Press ; Berlin : Springer, 2011.
Language Note:
English
Summary:
"Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well. This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems. Dr. Michal Fečkan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations.
Contents:
Preliminary Results
Discrete Dynamical Systems and Chaos
Chaos in ODE
Chaos in PDE
Chaos in Discontinuous ODE
Miscellaneous Topics.-.
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
ISBN:
1-283-36843-9
9786613368430
3-642-18269-0
OCLC:
771213078

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