Critical dynamics and fluctuations for a mean-field model of cooperative behavior

Keywords

Statistical physics, Bistability, Limit (mathematics), Mean field theory, Nonlinear system

References

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Cited by

• Properties Of Nonlinear Randomly Switching Dynamic Systems: Mean-Field Models And Feedback Controls For StabilizationGuangliang Zhao — 2014
• Nonlinear Markov Processes and Kinetic EquationsVassili N. Kolokoltsov — 2010
• Some fluctuation results for weakly interacting multi-type particle systemsAmarjit Budhiraja, Ruoyu Wu — 2015
• Central limit results for jump diffusions with mean field interaction and a common factorAmarjit Budhiraja, Elisabeti Kira, Subhamay Saha — 2014
• Controlling excitable media with noiseFranz-Xaver Sailer — 2006
• Un modèle d'Ising Curie-Weiss de criticalité auto-organiséeMatthias Gorny — 2015
• Mean-Field Backward Doubly Stochastic Differential Equations and Applications ∗Tianxiao Wang, Qingfeng Zhu, Yufeng Shi — 2011
• Abstract semilinear stochastic Itó-Volterraintegrodifferential equationsDavid N. Keck, Mark A. McKibben — 2006
• Invasion by rare mutants in a spatial two-type Fisher-Wright system with selectionDonald A. Dawson, Andreas Greven — 2011
• Regime shifts, environmental signals, uncertainty, and policy choiceWilliam Brock, S. R. Carpenter, Marten Scheffer — 2005
• Synchronization in periodically driven and coupled stochastic systems-A discrete state approachT. Prager — 2006
• Mean-field Models Involving Continuous-state-dependent Random Switching: Nonnegativity Constraints, Moment Bounds, and Two-time-scale LimitsGeorge Yin, Guangliang Zhao, Fubao Xi — 2011
• Collective periodicity in mean-field models of cooperative behaviorFrancesca Collet, Paolo Dai Pra, Marco Formentin — 2015
• Mean Field description of and propagation of chaos in recurrent multipopulation networks of Hodgkin-Huxley and Fitzhugh-Nagumo neuronsJavier Baladron, Diego Fasoli, Olivier Faugeras — 2011
• Layered Systems at the Mean Field Critical TemperatureLuiz Renato Fontes, Domingos H. U. Marchetti, Immacolata Merola — 2015
• Finite horizon mean-field stochastic H2/H∞ control for continuous-time systems with (x, v)-dependent noiseLimin Ma, Tianliang Zhang, Weihai Zhang — 2015
• Limit laws for a coagulation model of interacting random particlesGiovanna Nappo, Enza Orlandi — 1988
• A risk analysis for a system stabilized by a central agentJosselin Garnier, George Papanicolaou, Tzu-Wei Yang — 2015
• Nonasymptotic Mean-Field GamesHamidou Tembiné — 2014
• Stationary States in Infinite Networks of Spiking Oscillators with NoiseStilianos Louca, Fatihcan M. Atay — 2013

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