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Bifurcations in Doubly Diffusive Convection

  • E. Knobloch
Part of the Springer Series in Synergetics book series (SSSYN, volume 24)

Abstract

In this lecture I would like to describe some recent ideas and techniques that I believe to be of great potential usefulness in studying a variety of nonlinear phenomena. The emphasis will be on bifurcation phenomena, since the properties of a nonlinear system can rarely be elucidated systematically at parameter values substantially far from their bifurcation values. I would also like to emphasize the usefulness of these techniques in studying systems described by partial differential equations. It is for this reason that I have chosen a specific fluid dynamical system to illustrate the ideas that I shall describe. Apart from my familiarity with doubly diffusive systems, I think it is generally helpful in this field to be as specific as possible.

Keywords

Normal Form Rayleigh Number Bifurcation Diagram Homoclinic Orbit Center Manifold 
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 1984

Authors and Affiliations

  • E. Knobloch
    • 1
  1. 1.Department of PhysicsUniversity of CaliforniaBerkeleyUSA

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