On a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviour

DOI10.1016/0022-247X(87)90072-2zbMath0626.60061MaRDI QIDQ580819

Ida Bonzani

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

decomposition methodVan der Pol equationnonlinear dynamical systems with random parameters

Mathematics Subject Classification ID

Stochastic analysis (60H99)

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Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method, Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method, Random heat equation: Solutions by the stochastic adaptive interpolation method, Analytic solutions for nonlinear equations, A review of the decomposition method in applied mathematics, A new approach to Burgers' equation, Modeling and solution of stochastic inverse problems in mathematical physics, On the continuous approximation of the probability density and of the entropy functions for nonlinear stochastic dynamical systems

Cites Work

• On the mathematical modelling of physical systems by ordinary differential stochastic equations
• On a class of nonlinear dynamical systems: the structure of a differential operator in the application of the decomposition method
• On a class of semilinear stochastic systems in mechanics with quadratic- type nonlinearities: Time evolution of the probability density
• Inversion of nonlinear stochastic operators
• Perturbation methods and non-linear hyperbolic waves
• On a stochastic integral equation of the Volterra type in telephone traffic theory