期刊
PHYSICAL REVIEW E
卷 80, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.046206
关键词
chaos; learning (artificial intelligence); neural nets; nonlinear dynamical systems; oscillations
资金
- National Natural Science Foundation of China [60821001, 10575016]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [200800131028]
- National Basic Research Program of China [2007CB310704]
- National Excellent Doctoral Dissertation of PR China (FANEDD) [200951]
- 111 Project [B08004]
Together with attractive couplings, repulsive couplings play crucial roles in determining important evolutions in natural systems, such as in learning and oscillatory processes of neural networks. The complex interactions between them have great influence on the systems. A detailed understanding of the dynamical properties under this type of couplings is of practical significance. In this paper, we propose a model to investigate the dynamics of attractive and repulsive couplings, which give rise to rich phenomena, especially for amplitude death (AD). The relationship among various dynamics and possible transitions to AD are illustrated. When the system is in the maximally stable AD, we observe the transient behavior of in-phase (high frequency) and out-of-phase (low frequency) motions. The mechanism behind the phenomenon is given.
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