There is evidence that biological systems, such as the brain, work at a critical regime robust to noise, and are therefore able remain in it under perturbations. In this work, we address question of robustness systems noise. particular, investigate stochastic cellular automata (CAs) criticality. A CA one simplest models showing The transition state defined through set probabilities. We systemat...

In this paper, a non-autonomous stochastic logistic system is considered. An interesting result on the effect of stochastically perturbation for the dynamic behavior are obtained. That is, under certain conditions the stochastic system have similar dynamic behave with the deterministic system, but if the noise is sufficiently large, it will spoil these nice properties. Furthermore, we introduce...

Stochastic complexity of a data set is deened as the shortest possible code length for the data obtainable by using some xed set of models. This measure is of great theoretical and practical importance as a tool for tasks such as determining model complexity, or performing predictive inference. Unfortunately for cases where the data has missing information, computing the stochastic complexity r...

We analyze the effects of stochastic perturbations in a physical example occurring as a higher-dimensional dynamical system. The physical model is that of a class- B laser, which is perturbed stochastically with finite noise. The effect of the noise perturbations on the dynamics is shown to change the qualitative nature of the dynamics experimentally from a stochastic periodic attractor to one ...

Reinforcement schemes represent the basis of the learning process for stochastic learning automata, generating their learning behavior. An automaton using a reinforcement scheme can decide the best action, based on past actions and environment responses. The aim of this paper is to introduce a new reinforcement scheme for stochastic learning automata. We test our schema and compare with other n...

An Algorithm to Recognize Multi-Stable Behavior from an Ensemble of Stochastic Simulation Runs

*Correspondence: [email protected] School of Mathematics and Statistics, Beihua University, Jilin, 132013, China Abstract We formulate a stochastic SIS epidemic model with vaccination by introducing a Lévy noise and regime switching into the epidemic model. First, we prove that the stochastic model admits a unique global positive solution. Moreover, we study the asymptotic behavior of the sto...