12 citations · 43 across the 10 of their papers we have counts for
10 papers
Stochastic modelling of dynamical systems with several attractors
M. Morillo, J. M. Casado
The usual Langevin approach to describe systems driven by noise fails to describe the long time behavior of systems with multiple attractors. The solution of the associated linear…
Behavior of collective variables in complex nonlinear stochastic models of finite size
M. Morillo, J. M. Casado
We consider the behavior of a collective variable in a complex system formed by a finite number of interacting subunits. Each of them is characterized by a degree of freedom with a…
A model of calcium-mediated coupling between membrane activity and clock gene expression in neurons of the suprachiasmatic nucleus
J. M. Casado, M. Morillo
Rhythms in electrical activity in the membrane of cells in the suprachiasmatic nucleus (SCN) are crucial for the function of the circadian timing system, which is characterized by…
Checking the validity of truncating the cumulant hierarchy description of a small system
Manuel Morillo, José Gómez-Ordóñez, José M. Casado
We analyze the behavior of the first few cumulant in an array with a small number of coupled identical particles. Desai and Zwanzig (J. Stat. Phys., {\bf 19}, 1 (1978), p. 1) studi…
System size stochastic resonance in driven finite arrays of coupled bistable elements
José Gómez-Ordóñez, José M. Casado, Manuel Morillo
The global response to weak time periodic forces of an array of noisy, coupled nonlinear systems might show a nonmonotonic dependence on the number of units in the array. This effe…
Statistical Mechanics of finite arrays of coupled bistable elements
José Gómez-Ordóñez, José M. Casado, Manuel Morillo +2
We discuss the equilibrium of a single collective variable characterizing a finite set of coupled, noisy, bistable systems as the noise strength, the size and the coupling paramete…