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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… Click to show full 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.
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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