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Selected Topics in Local Bifurcation Theory

  • James Murdock
Chapter
  • 539 Downloads
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

As the title indicates, this short final chapter is not intended to be a complete treatment of bifurcation theory, or even a complete overview. Instead, we focus on certain specific topics, chosen because they are closely related to the main themes of this book, or because they are not developed extensively in other monographs. Among these topics are the questions of jet sufficiency, the computation of unfoldings, and the rescaling of unfolded systems.

Keywords

Normal Form Implicit Function Theorem Jordan Block Pitchfork Bifurcation Nondegeneracy Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2003

Authors and Affiliations

  • James Murdock
    • 1
  1. 1.Mathematics DepartmentIowa State UniversityAmesUSA

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