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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

Periodic Solution Stochastic Differential Equation Stochastic Dynamic Relaxation Oscillation Inverse Gaussian Distribution 
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 1999

Authors and Affiliations

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

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