Stochastic Oscillation

  • Johan Grasman
  • Onno A. van Herwaarden
Part of the Springer Series in Synergetics book series (SSSYN)

Abstract

The stochastic dynamics of an oscillator we study from a second order differential equation of the type
$$ \frac{{d^2 X}} {{dt^2 }} + f\left( {X,\frac{{dX}} {{dt}},\varepsilon \xi } \right)\frac{{dX}} {{dt}} + g(t,X,\varepsilon \xi ) = 0 $$
(8.1)
where ξ = (ξ1(t),…, ξn(t)) with ξi(t), j =1, ..., n being independent noise processes.

Keywords

Manifold Peri Rium Weinstein 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Johan Grasman
    • 1
  • Onno A. van Herwaarden
    • 1
  1. 1.Department of MathematicsAgricultural UniversityWageningenThe Netherlands

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