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)


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 \(\dot{u} = f(t,\mu ,u) = f(t + T,\mu ,u)\).


Periodic Solution Hopf Bifurcation Spectral Problem Simple Eigenvalue Pitchfork Bifurcation 
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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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