Hysteresis and multistability in networks of bistable stochastic elements with global interaction

Details Hysteresis and multistability in networks of bistable stochastic elements with global interaction Hysteresis and multistability in networks of bistable stochastic elements with global interaction

Nov 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008njph...10k3006p&link_type=abstract

New Journal of Physics, Volume 10, Issue 11, pp. 113006 (2008).

Physics

Scientific paper

We demonstrate the existence of the first-order phase transitions and hysteresis in a network of bistable stochastic elements with global interaction subject to additive white noise. Using the Fokker Planck equation approach, we present a method which allows one to use a continuation technique (AUTO) to follow the stationary one-particle distribution density in the space of system parameters. In addition, the Gaussian approximation is employed to compute the loci of the bifurcation points.

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