Determination of the stationary state densities of the stochastic nonlinear dynamical systems

DOI10.1016/J.IJENGSCI.2006.06.012zbMath1213.60112OpenAlexW2084104621MaRDI QIDQ538680

Serkan Günel, F. Acar Savacı

Publication date: 25 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/2174

zbMATH Keywords

random dynamical systemsFokker-Planck-Kolmogorov equationcompactly supported multivariable polynomials

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (2)

ESTIMATING PROBABILITY DENSITY FUNCTIONS AND ENTROPIES OF CHUA'S CIRCUIT USING B-SPLINE FUNCTIONS ⋮ Bayesian Stable Mixture Model of State Densities of Generalized Chua's Circuit

Uses Software

• KernSmooth

Cites Work

• Unnamed Item
• A generalized analysis technique of the stationary FPK equation in nonlinear systems under Gaussian white noise excitations
• A survey of numerical methods for stochastic differential equations
• The exact steady-state solution of a class of nonlinear stochastic systems
• Extension of eigenfunction-expansion solutions of a Fokker-Planck equation. II. Second order system
• Random differential equations in science and engineering
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Multi-Gaussian closure method for randomly excited nonlinear systems
• Exact and approximate solutions for randomly excited MDOF nonlinear systems
• On the calculation of stationary solutions of multi-dimensional Fokker-Planck equations by orthogonal functions
• Exponential closure method for some randomly excited nonlinear systems
• The Fokker-Planck equation. Methods of solutions and applications.
• An exact solution to a certain nonlinear random vibration problem
• Maximum-entropy approach with higher moments for solving Fokker-Planck equation
• EXACT STATIONARY PROBABILITY DENSITY FOR SECOND ORDER NON-LINEAR SYSTEMS UNDER EXTERNAL WHITE NOISE EXCITATION
• Information Theory and Statistical Mechanics
• Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique
• A sequence solution to the Fokker-Planck equation
• Eigenfunction expansions for randomly excited non-linear systems

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