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Topological Fixed Point Theory and Its Applications

Topological Degree Approach to Bifurcation Problems

Authors: Fečkan, Michal

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  • Includes rigorous proofs of chaotic solutions for discontinuous differential equations and differential inclusions
  • Covers bifurcations of periodic solutions in differential inclusions and systems with relay hysteresis
  • Examines the persistence of traveling waves under spatial discretization of sine-Gordon and Klein-Gordon partial differential equations
  • Details topological degree theory for discontinuous wave partial differential equations
  • Presents chaotic behavior of maps possessing topologically transversally intersecting invariant manifolds
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eBook 74,96 €
price for Spain (gross)
  • ISBN 978-1-4020-8724-0
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-1-4020-8723-3
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-90-481-7969-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: non-smooth mechanical systems with dry frictions; weakly coupled oscillators; systems with relay hysteresis; differential equations on infinite lattices of Frenkel-Kontorova and discretized Klein-Gordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations.

Precise and complete proofs, together with concrete applications with many stimulating and illustrating examples, make this book valuable to both the applied sciences and mathematical fields, ensuring the book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis.

Reviews

From the book reviews:

“This excellent and well-organized book is based on recently published papers of the author using topological degree methods. … The book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers involved in bifurcation theory and its applications to dynamical systems and nonlinear analysis.” (László Hatvani, Acta Scientiarum Mathematicarum (Szeged), Vol. 75 (3-4), 2009)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-1-4020-8724-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-1-4020-8723-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-90-481-7969-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Topological Degree Approach to Bifurcation Problems
Authors
Series Title
Topological Fixed Point Theory and Its Applications
Series Volume
5
Copyright
2008
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-8724-0
DOI
10.1007/978-1-4020-8724-0
Hardcover ISBN
978-1-4020-8723-3
Softcover ISBN
978-90-481-7969-5
Edition Number
1
Number of Pages
IX, 261
Number of Illustrations
17 b/w illustrations
Topics