This article is cited in 1 paper

On the sequence of period doubling bifurcations in Rossler models

V. V. Alekseev, M. Kh. Kharrasov


Abstract: Bogolyubov's asymptotic methods are used to develop an approach to find relations in the space of parameters of the system that determine the sequence of period doubling bifurcations in dynamical models of Rossler type. A distribution law is found, and the existence of a limit set of bifurcation values of the parameters is demonstrated.

Received: 23.06.1990

 English version: Theoretical and Mathematical Physics, 1991, 88:1, 741–746

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