Bifurcation and Chaos in Discontinuous and Continuous Systems

  • Michal Fečkan

Part of the Nonlinear Physical Science book series (NPS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Michal Fečkan
    Pages 1-7
  3. Michal Fečkan
    Pages 9-28
  4. Michal Fečkan
    Pages 29-85
  5. Michal Fečkan
    Pages 87-165
  6. Michal Fečkan
    Pages 167-248
  7. Michal Fečkan
    Pages 249-334
  8. Michal Fečkan
    Pages 335-374
  9. Back Matter
    Pages 375-378

About this book

Introduction

"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.

Keywords

HEP NPS analytical proof bifurcation methods bifurcation theory chaos in ODE chaos in PDE chaotic bifurcations dynamical systems sliding stick-slip systems

Authors and affiliations

  • Michal Fečkan
    • 1
  1. 1.Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and InformaticsComenius University Mlynská dolinaBratislavaSlovakia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-18269-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-18268-6
  • Online ISBN 978-3-642-18269-3
  • Series Print ISSN 1867-8440
  • Series Online ISSN 1867-8459
  • About this book