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Reduction process, bifurcation equations

  • Hans Troger
  • Alois Steindl

Abstract

In this chapter the first, basic step in the treatment of nonlinear stability problems is presented, namely, the reduction of the given n- or infinite-dimensional system to a generally low-dimensional bifurcation system. In the neighborhood of the bifurcation point this bifurcation system has the same qualitative behavior as the original system, and therefore, completely describes the local stability problem.

Keywords

Equilibrium Position Bifurcation Point Invariant Manifold Center Manifold Fredholm Operator 
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/Wien 1991

Authors and Affiliations

  • Hans Troger
    • 1
  • Alois Steindl
    • 1
  1. 1.Technical University ViennaViennaAustria

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