Electronic Resource
Springer
Journal of statistical physics
44 (1986), S. 907-920
ISSN:
1572-9613
Keywords:
Nonlinear equation
;
stochastic process
;
stability
;
steady-state
;
Gaussian closure
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The anharmonic oscillator under combined sinusoidal and white noise excitation is studied using the Gaussian closure approximation. The mean response and the steady-state variance of the system is obtained by the WKBJ approximation and also by the Fokker-Planck equation. The multiple steadystate solutions are obtained and their stability analysis is presented. Numerical results are obtained for a particular set of system parameters. The theoretical results are compared with a digital simulation study to bring out the usefulness of the present approximate theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011913
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