Robust chaos in smooth unimodal maps

被引:23
|
作者
Andrecut, M [1 ]
Ali, MK [1 ]
机构
[1] Univ Lethbridge, Dept Phys, Lethbridge, AB T1K 3M4, Canada
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 02期
关键词
D O I
10.1103/PhysRevE.64.025203
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. It has been conjectured that robust chaos cannot occur in smooth systems [E. Barreto, B. Hunt, and C. Grebogi, Phys. Rev. Lett. 78, 4561 (1997); 80, 3049 (1998)]. Contrary to this conjecture, we describe a general procedure for generating robust chaos in smooth unimodal maps.
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