Analyzing Bifurcations in the Kolmogorov Flow Equations

  • D. Armbruster
  • B. Nicolaenko
  • N. Smaoui
  • P. Chossat
Part of the NATO ASI Series book series (ASIC, volume 437)


Simulations of forced 2-D Navier-Stokes equations are analyzed. The forcing is spatially periodic and temporally steady. Two regimes are analyzed: a bursting regime and a regime that exhibits discrete traveling waves. A Karhunen Loeve analysis is used to identify the structures in phase space that generate the PDE behavior. Their relationship to the invariant subspaces generated by the symmetry group is discussed.


Symmetry Group Hopf Bifurcation Invariant Subspace Unstable Manifold Heteroclinic Orbit 
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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • D. Armbruster
    • 1
  • B. Nicolaenko
    • 1
  • N. Smaoui
    • 1
  • P. Chossat
    • 2
  1. 1.Department of MathematicsArizona State UniversityUSA
  2. 2.Institut Non-Linéaire de NiceCNRS-Université de Nice Sophia-AntipolisUSA

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