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Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker–Planck equations

✍ Scribed by T.D. Frank

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
313 KB
Volume
331
Category
Article
ISSN
0378-4371

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Alternative description of stochastic processes in nonlinear systems. “Kinetic form” of master and Fokker-Planck equations
✍ Yu.L. Klimontovich 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 446 KB

An alternative description of stochastic processes in nonlinear systems is considered. It is shown that among the possible forms of the Fokker-Planck and the Langevin equations (Ito, Stratonovich, and kinetic forms) the kinetic form is more natural from the point of view of the statistical theory. A