Hidden transient chaotic attractors of Rabinovich-Fabrikant system

被引:49
|
作者
Danca, Marius-F. [1 ,2 ]
机构
[1] Avram Iancu Univ, Dept Math & Comp Sci, Cluj Napoca 400380, Romania
[2] Romanian Inst Sci & Technol, Cluj Napoca 400487, Romania
关键词
Hidden transient chaotic attractor; Hidden attractor; Self-excited attractor; Rabinovich-Fabrikant system; DYNAMICAL-SYSTEMS; NO EQUILIBRIA; FLOWS; MODEL; MULTISTABILITY; BEHAVIOR; LORENTZ; REGIME;
D O I
10.1007/s11071-016-2962-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In Danca et al. (Int J Bifurc Chaos 26(02):1650038, 2016), it is shown that the Rabinovich-Fabrikant (RF) system admits self-excited and hidden chaotic attractors. In this paper, we further show that the RF system also admits a pair of symmetric transient hidden chaotic attractors. We reveal more extremely rich dynamics of this system, such as a new kind of "virtual saddles.".
引用
收藏
页码:1263 / 1270
页数:8
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