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

Toshihiro Shimizu

Physica A: Statistical Mechanics and its Applications, 1991, vol. 178, issue 1, 101-122

Abstract: 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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:178:y:1991:i:1:p:101-122

DOI: 10.1016/0378-4371(91)90076-O

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