A bistable model of a financial market is considered, aimed at modelling financial crashes and bubbles, based on the Ising model with thermal-bath dynamics and long-range interactions, subject to a weak external information-carrying signal and noise. In the ordered phase, opposite stable...

We present an analytical study of the enhancement of the signal-to-noise ratio in a monostable non-harmonic potential. We make use of the exact expression for the diffusion propagator obtained in a previous work, finding a monotonically increasing response with the noise amplitude. On the other...

The resonance behaviors, such as coherence resonance and stochastic resonance, are studied in a delayed bistable system subject to correlated noises and a weak harmonic excitation. For weak noise intensities and small feedback gains, the analytic expressions of output spectrum and linear...

We have studied the stochastic resonance (SR) of bistable systems coupled to a bath with a nonlinear system–bath interaction, by using the microscopic, generalized Caldeira–Leggett (CL) model. The adopted CL model yields the non-Markovian Langevin equation with nonlinear dissipation and...

Multiplicative stochastic resonance in linear systems with delay is studied for the discrete case. The overdamped linear system with symmetric multiplicative Markovian dichotomous noise (DN) is considered. The stability range of the solutions for different values of delay is analyzed. The...

The stochastic resonance (SR) of periodically driven linear system with multiplicative white noise and periodically modulated additive white noise is studied. Exact expressions of output signal-to-noise ratio are obtained. The SR characteristics features are shown in two different situations:...

We consider the overdamped version of two coupled anharmonic oscillators with the external periodic force fsinωt and Gaussian noise term η(t) added to one of the two state variables of the system. Linear stability analysis is carried out in the absence of external periodic force and noise....

In many cell types, intracellular calcium is released from internal stores through calcium release channels which are distributed in clusters with a few tens of channels. Localized calcium release events, i.e. Ca2 + puffs, are subjected to stochastic channel dynamics and fluctuations of...

In this paper, we investigate the Sznajd model of opinion dynamics with anticonformity on a complete graph. We show that below some threshold value of anticonformal behavior spontaneous reorientations occur between two stable states. Dealing with a complete graph allows us also for an analytical...

In this paper, we consider the phenomenon of stochastic resonance (SR) in an asymmetric bistable system with coloured noises and periodic rectangular signal. Expression of the signal-to-noise ratio (SNR) has been obtained under the adiabatic limit. We investigate the effect of any system...