The bandcount increment scenario. I. Basic structures

被引：20

作者：

Avrutin, Viktor ^{[1
]}

Eckstein, Bernd ^{[1
]}

Schanz, Michael ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Parallel & Distributed Syst IPVS, Univ Str 38, D-70569 Stuttgart, Germany

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2008年 / 464卷 / 2095期

关键词：

bandcount increment; bandcount adding; bandcount doubling; interior crises; merging crises; piecewise-linear discontinuous maps;

D O I：

10.1098/rspa.2007.0226

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Bifurcation structures in two-dimensional parameter spaces formed only by chaotic attractors are still far away from being understood completely. In a series of three papers, we investigate the chaotic domain without periodic inclusions for a map, which is considered by many authors as some kind of one-dimensional canonical form for discontinuous maps. In the first part, we report a novel bifurcation scenario formed by crises bifurcations, which includes multi-band chaotic attractors with arbitrary high bandcounts and determines the basic structure of the chaotic domain.

引用

页码：1867 / 1883

页数：17

共 19 条

[1]

[Anonymous], 2003, BIFURCATIONS CHAOS P

[2]

[Anonymous], 1993, Chaos in Dynamical Systems

[3]

AVRUTIN V, IN PRESS NONLINEARIT

[4] Codimension-three bifurcations: Explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps [J].