PHASE-DIAGRAM FOR THE COLLECTIVE BEHAVIOR OF LIMIT-CYCLE OSCILLATORS

被引:233
作者
MATTHEWS, PC [1 ]
STROGATZ, SH [1 ]
机构
[1] MIT,DEPT MATH,CAMBRIDGE,MA 02139
关键词
D O I
10.1103/PhysRevLett.65.1701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze a large dynamical system of limit-cycle oscillators with mean-field coupling and randomly distributed natural frequencies. Depending on the choice of coupling strength and the spread of natural frequencies, the system exhibits frequency locking, amplitude death, and incoherence, as well as novel unsteady behavior characterized by periodic, quasiperiodic, or chaotic evolution of the systems order parameter. The phase boundaries between several of these states are obtained analytically. © 1990 The American Physical Society.
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页码:1701 / 1704
页数:4
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