期刊
PHYSICS LETTERS A
卷 378, 期 3, 页码 178-183出版社
ELSEVIER
DOI: 10.1016/j.physleta.2013.11.004
关键词
Quadratic nonlinearities; Hidden attractor; Amplitude/frequency control
资金
- Jiangsu Overseas Research & Training Program for University Prominent Young and Middle-aged Teachers and Presidents
- 4th 333 High-level Personnel Training Project of Jiangsu Province, the National Science Foundation for Postdoctoral General Program [15]
- Special Founding Program of People's Republic of China [2011M500838, 2012T50456]
- Postdoctoral Research Foundation of Jiangsu Province [1002004C]
This paper addresses a previously unexplored regime of three-dimensional dissipative chaotic flows in which all but one of the nonlinearities are quadratic. The simplest such systems are determined, and their equilibria and stability are described. These systems often have one or more infinite lines of equilibrium points and sometimes have stable equilibria that coexist with the strange attractors, which are sometimes hidden. Furthermore, the coefficient of the single nonquadratic term provides a simple means for scaling the amplitude and frequency of the system. (C) 2013 Elsevier B.V. All rights reserved.
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