论文信息 - Stochastic Cycles for a Model of the Belousov-Zhabotinsky Reaction under Transition to Chaos

Stochastic Cycles for a Model of the Belousov-Zhabotinsky Reaction under Transition to Chaos

One of the key examples in the modern theory of dynamical chaos is the periodical chemical reaction of Belousov-Zhabotinsky. The Ressler system is a well known classical model of this reaction. Another model sufficiently well showing the qualitative variety of the BZ-reaction was introduced by Pikovsky. In this paper some results of numerical analysis for this model are presented. The stationary points, bifurcation points are found, deterministic and stochastic stability of the system are investigated. Some patterns detected in the system under transition to chaos are described.

Lev B. Ryashko | A. Gubkin

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