Synchronization and random long time dynamics for mean-field plane rotators-Reference-Cited by-同舟云学术

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Synchronization and random long time dynamics for mean-field plane rotators

Published:2013-10-25 Issue:3-4 Volume:160 Page:593-653
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Bertini Lorenzo,Giacomin Giambattista,Poquet Christophe

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00440-013-0536-6.pdf

Reference33 articles.

1. Acebrón, J.A., Bonilla, L.L., Pérez Vicente, C.J., Ritort, F., Spigler, R.: The Kuramoto model: a simple paradigm for synchronization phenomena. Rev. Mod. Phys. 77, 137–185 (2005)

2. Arnold, A., Bonilla, L.L., Markowich, P.A.: Liapunov functionals and large-time-asymptotics of mean-field nonlinear Fokker–Planck equations. Transport Theory Stat. Phys. 25, 733–751 (1996)

3. Bakhtin, Y.: Exit asymptotics for small diffusion about an unstable equilibrium. Stochastic Process. Appl. 118, 839–851 (2008)

4. Bertini, L., Brassesco, S., Buttà, P.: Soft and hard wall in a stochastic reaction diffusion equation. Arch. Ration. Mech. Anal. 190, 307–345 (2008)

5. Bertini, L., Brassesco, S., Buttà, P., Presutti, E.: Front fluctuations in one dimensional stochastic phase field equations. Ann. Henri Poincaré 3, 29–86 (2002)

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