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中国物理学会期刊

一个不连续映象中的混沌稳定或混沌抑制

CSTR: 32037.14.aps.46.1464

STABILIZATION OF CHAOS OR SUPPRESSION OF CHAOS IN A DISCONTINUOUS CIRCLE MAP

CSTR: 32037.14.aps.46.1464
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  • 借助于一个张弛振子模型和与之相应的不连续映象说明了在这类系统中瞬态集的映蔽效应会产生三种区域:1)稳定混沌区,在此区域中不存在周期窗口,混沌轨道是结构稳定的;2)完全锁相区,在此区域中混沌被抑制,只存在周期运动;3)准周期区域,在此区域中混沌被抑制,只存在准周期或临界稳定的周期运动.这种思想被用来解释在一个实际张弛振子电路中观察到的稳定混沌区和完全锁相区

     

    With a model relaxation oscillator and its corresponding discontinuous map,we show that the covering effect of the transient set can produce three kinds of regions:(1) stable chaotic region where all the possible periodic windows are erased,therefore chaotic trajectories are structurally stable;(2) complete phase locking region where chaos is suppressed,only periodic motion is permitted;(3) quasiperiodic region where chaos is suppressed,only quasiperiodic motion or periodic motion with marginal stability is allowed.These ideas are then used to explain the observed stable chaotic regions and the complete phase locking regions in a practical electronic relaxation oscillator.

     

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