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Bifurcation Theorems for Partial Differential Equations

  • J. E. Marsden
  • M. McCracken
Part of the Applied Mathematical Sciences book series (AMS, volume 19)

Abstract

As we have seen in earlier sections, there are two methods generally available for proving bifurcation theorems. The first is the original method of Hopf, and the second is using invariant manifold techniques to reduce one to the finite (often two) dimensional case.

Keywords

Periodic Solution Periodic Orbit HOPF Bifurcation Closed Orbit Bifurcation Theorem 
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. 1976

Authors and Affiliations

  • J. E. Marsden
    • 1
  • M. McCracken
    • 2
  1. 1.Department of MathematicsUniversity of California at BerkeleyUSA
  2. 2.Department of MathematicsUniversity of California at Santa CruzUSA

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