Abstract
Large-time asymptotics of the solutions of time-dependent mean-field nonlinear Fokker-Planck systems are analyzed by exploiting the properties of Liapunov functionals (relative entropies). We first discuss the scalar Desai-Zwanzig model and then generalize the techniques to a general class of mean-field oscillator equations. Systems of this type are relevant in the modeling of synchronization of a large population of coupled nonlinear oscillators in the presence of external or thermal white noise.
Original language | English (US) |
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Pages (from-to) | 733-751 |
Number of pages | 19 |
Journal | Transport Theory and Statistical Physics |
Volume | 25 |
Issue number | 7 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- General Physics and Astronomy
- Applied Mathematics