The Direct Method of Lyapunov

  • Horst Leipholz

Abstract

Let us consider a problem of mechanics defined by the system of ordinary differential equations
(1.5.1)
and let us investigate the stability of a particular solution q i 0 (t). For purposes of simplicity, we have omitted the influence of any parameters. The following variational equations are obtained by the well-known transformation (1.2) q i = q i 0 + ξ i :
(1.5.2)
.

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Copyright information

© Springer Fachmedien Wiesbaden 1987

Authors and Affiliations

  • Horst Leipholz
    • 1
  1. 1.University of WaterlooWaterlooCanada

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