Non-linear dynamics of systems coupled with external noise: some exact results

DOI10.1016/0167-2789(82)90018-5zbMath1194.60044OpenAlexW2003586666MaRDI QIDQ995156

N. Banai, Léon Brenig

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(82)90018-5

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (4)

Dynamics of the stochastic Duffing oscillator in Gaussian approximation ⋮ Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models ⋮ Verhulst model with Lévy white noise excitation ⋮ A non-linear stochastic differential equation: Exact critical statics and dynamics

Cites Work

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• Strong approximation theorems for density dependent Markov chains
• The special functions and their approximations. Vol. I, II
• Dynamics of the Noise-Induced Phase Transition of the Verhulst Model
• Phase Transition and Slowing Down in Non-Equilibrium Stochastic Processes
• A POWER SERIES EXPANSION OF THE MASTER EQUATION
• An introduction to synergetics
• On the Convergence of Ordinary Integrals to Stochastic Integrals
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

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