Time-evolution of the probability density under the action of a deterministic dynamical system

DOI10.1016/0022-247X(80)90271-1zbMath0475.70019MaRDI QIDQ1159481

Giovanni Pistone, Nicola Bellomo

Publication date: 1980

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

zbMATH Keywords

deterministic dynamical systemtime-evolution of probability density

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

Evolution of the n th probability density and entropy function in stochastic systems, Time evolution and fluctuations of the probability density and entropy function for a class of nonlinear stochastic systems in mathematical physics, The numerical solution of random initial-value problems, On the continuous approximation of the probability density and of the entropy functions for nonlinear stochastic dynamical systems, The time evolution of random fields in stochastic continuum mechanics, On a class of semilinear stochastic systems in mechanics with quadratic- type nonlinearities: Time evolution of the probability density, Transient behaviour of semilinear stochastic systems with random parameters, A mathematical stochastic model for the particles diffusion in atmosphere, On the mathematical modelling of physical systems by ordinary differential stochastic equations

Cites Work

• An investigation of the asymptotic decomposition method for nonlinear equations in physics
• Random differential equations in science and engineering
• Dynamical systems with a large number of degrees of freedom: A stochastic mathematical analysis for a class of deterministic problems
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