Noise‐induced transformations in corporate dynamics of coupled chaotic oscillators

Abstract

Stochastic effects in corporate dynamics of two symmetrically coupled chaotic oscillators are studied. As a functional unit, we use a discrete system defined by the logistic map. It is shown that increasing coupling parameter changes corporate deterministic dynamics and causes transitions "chaos-order-chaos." We study an order window between Neimark-Sacker and crisis bifurcation points and show how this window is contracted and eliminated by increasing noise.For parametric analysis of these stochastic phenomena in coupled system, we apply the method of confidence domains based on the mathematical theory of stochastic sensitivity.

Transitions between metastable long-run consumption behaviors in a stochastic peer-driven consumer network

“…Recent examples for successful implementations of the technique include [20] who discuss noise induced extinction in a model of bacterial infection and [18] who study the effect of noise on attractors in a dynamic model of the cardiac action potential. [16] study noise-induced transitions in the context of coupled chaotic oscillators. Moreover, the stochastic sensitivity function methodology has been used to study the sensitivity of attractors in economic and financial models formulated in discrete time in [11] and [10].…”