Noisy parametric sweep through a period-doubling bifurcation of the Henon map

被引：4

作者：

Davies, HG ^{[1
]}

Rangavajhula, K ^{[1
]}

机构：

[1] Univ New Brunswick, Dept Mech Engn, Fredericton, NB E3B 5A3, Canada

来源：

CHAOS SOLITONS & FRACTALS | 2002年 / 14卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/S0960-0779(01)00233-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Previous results on linear parametric sweep through period-doubling bifurcations of a one-dimensional map are extended to the two-dimensional case. An explicit noise model is also included. Matched asymptotic expansions together with a centre-manifold reduction in the vicinity of the bifurcation are used to describe trajectories sweeping up or down. The role of noise in triggering the transition from period-1 to period-2 is emphasised. Increasing sweep rate delays the transition; increasing noise level reduces the delay. (C) 2002 Elsevier Science Ltd. AIL rights reserved.

引用

页码：293 / 299

页数：7

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