Lecture Notes in Mathematics

Bifurcation without Parameters

Authors: Liebscher, Stefan

  • This is the first systematic treatment of the topic
  • Numerous figures augment the analytic treatment and assist in understanding
  • The abstract theory is complemented by many applications
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  • ISBN 978-3-319-10777-6
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About this book

Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the presentation. Bifurcations without parameters occur along manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points.

Table of contents (16 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-10777-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-10776-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Bifurcation without Parameters
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2117
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-10777-6
DOI
10.1007/978-3-319-10777-6
Softcover ISBN
978-3-319-10776-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 142
Number of Illustrations and Tables
5 b/w illustrations, 29 illustrations in colour
Topics