LOCATING BIFURCATIONS IN QUASI-PERIODICALLY FORCED SYSTEMS

被引：22

作者：

CHASTELL, PR ^{[1
]}

GLENDINNING, PA ^{[1
]}

STARK, J ^{[1
]}

机构：

[1] UNIV CAMBRIDGE,DEPT APPL MATH & THEORET PHYS,CAMBRIDGE CB3 9EW,ENGLAND

来源：

PHYSICS LETTERS A | 1995年 / 200卷 / 01期

关键词：

D O I：

10.1016/0375-9601(95)00107-E

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a method for locating and following saddle-node bifurcations of invariant circles in quasiperiodically forced systems. This is based on making successive rational approximations to the quasiperiodic forcing, and computing the locations of saddle-node bifurcations of appropriate periodic orbits for the approximating system. An example of the application of the algorithm to the quasiperiodically forced sine map is given. The method is also equally applicable to period doubling bifurcations of invariant circles.

引用

页码：17 / 26

页数：10

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