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Secondary Subharmonic and Asymptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf’s Type) in the Autonomous Case

  • Gérard Iooss
  • Daniel D. Joseph
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In Chapters IX and X we considered the problems of stability and bifurcation of the solution u = 0 of the evolution problem reduced to local form \(\dot{u} = f(t,\mu ,u) = f(t + T,\mu ,u)\).

Keywords

Periodic Solution Hopf Bifurcation Spectral Problem Simple Eigenvalue Pitchfork Bifurcation 
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 Berlin Heidelberg 1990

Authors and Affiliations

  • Gérard Iooss
    • 1
  • Daniel D. Joseph
    • 2
  1. 1.Institut Non Lineaire, de NiceValbonneFrance
  2. 2.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA

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