Quasi-periodic bifurcations in reversible systems

被引：16

作者：

Hanssmann, Heinz ^{[1
]}

机构：

[1] Univ Utrecht, Math Inst, NL-3508 TA Utrecht, Netherlands

来源：

REGULAR & CHAOTIC DYNAMICS | 2011年 / 16卷 / 1-2期

关键词：

invariant tori; KAM theory; versal unfolding; persistence; LOWER-DIMENSIONAL TORI; KAM-THEOREM; STABILITY;

D O I：

10.1134/S1560354710520059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Invariant tori of integrable dynamical systems occur both in the dissipative and in the conservative context, but only in the latter the tori are parameterized by phase space variables. This allows for quasi-periodic bifurcations within a single given system, induced by changes of the normal behavior of the tori. It turns out that in a non-degenerate reversible system all semi-local bifurcations of co-dimension 1 persist, under small non-integrable perturbations, on large Cantor sets.

引用

页码：51 / 60

页数：10

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