Nonlinear Physical Science

Bifurcation and Chaos in Discontinuous and Continuous Systems

Authors: Fečkan, Michal

  • Presents the comprehensive theory of chaos in nonlinear dynamical systems, with applications to mechanics and vibrations
  • Includes precise and complete proofs of derived results
  • Inlcudes many stimulating and illustrative examples
  • Offers rigorous proof on the existence of chaos for stick-slip systems
  • Extension of Smale horseshoe to inflated dynamical systems
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  • ISBN 978-3-642-18269-3
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About this book

"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.

Reviews

From the reviews:

“The purpose of this monograph … is to present a ‘comprehensive bifurcation theory of chaos in nonlinear dynamical systems with applications to mechanics and vibrations’. … Each chapter concludes with a list of references; a detailed index can be found at the end of the book. The monograph will attract the interest of researchers working with continuous and discontinuous dynamical systems and in related areas, as well as specialists interested in applied problems where nonlinear oscillations, bifurcations, and chaos occur.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1234, 2012)


Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-18269-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Bifurcation and Chaos in Discontinuous and Continuous Systems
Authors
Series Title
Nonlinear Physical Science
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18269-3
DOI
10.1007/978-3-642-18269-3
Series ISSN
1867-8440
Edition Number
1
Number of Pages
XII, 378
Additional Information
Jointly published with Higher Education Press
Topics