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Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions

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

Abstract

We noted in the introduction that the solutions of three nonlinear ordinary differential equations can be turbulent-like and outside the scope of elementary analysis. In fact, the most complete results known in bifurcation theory are for problems which can be reduced to one or two dimensions.

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Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • Gérard Iooss
    • 1
  • Daniel D. Joseph
    • 2
  1. 1.Faculté des Sciences, Institut des Mathématiques et Sciences PhysiquesUniversité des NiceParc Valrose, NiceFrance
  2. 2.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA

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