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Finite-Dimensional Description of Doubly Diffusive Convection

  • E. Knobloch
  • M. R. E. Proctor
  • N. O. Weiss
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 55)

Abstract

Doubly diffusive convection in small aspect ratio systems exhibits complex temporal dynamics that has been attributed to the Shil’nikov mechanism. These results are reviewed and an asymptotic expansion suggested that leads in a systematic manner from the partial differential equations to a third order system of ordinary differential equations with Shil’nikov dynamics.

Keywords

Hopf Bifurcation Heteroclinic Orbit Canonical System Homoclinic Bifurcation Heteroclinic Connection 
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. 1993

Authors and Affiliations

  • E. Knobloch
    • 1
  • M. R. E. Proctor
    • 2
  • N. O. Weiss
    • 2
  1. 1.Department of PhysicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK

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