Perturbation theory analysis of chaos III. Period doubling bifurcations in a simple model

By using the nonlinear scale method the asymptotic solution of a three-dimensional differential system is calculated to elucidate the period-doubling bifurcation route to chaos. As an stochastic description of chaos a Langevin-type equation with a vacillation force is derived. The stochastic and deterministic nature of the vacillation force is studied.

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Year of publication:	1991
Authors:	Shimizu, Toshihiro
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 178.1991, 1, p. 101-122
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010874044