The effects of dual-channel coupling on the transition from amplitude death to oscillation death
The effects of dual-channel coupling on the transition from amplitude death to oscillation death
复制标题
双通道耦合对振幅死亡到振荡死亡转变的影响
DOI：
10.1209/0295-5075/115/20011
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Jinghua Xiao
中科院分区：
文献类型：
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作者：
Jiangnan Chen;Weiqing Liu;Yun Zhu;Jinghua Xiao
振荡猝灭包括振幅死亡（AD）和振荡死亡（OD）以及它们之间的过渡过程，一直是混沌控制、物理和生物应用等方面的研究热点。从理论和数值上研究了双通道耦合对耦合非全同振子中AD和OD动力学的影响以及它们的跃迁过程。我们的研究结果表明，一个额外的排斥耦合往往会缩小AD域，而它扩大OD域，然而，一个额外的吸引耦合作用相反。结果，在具有不同频率失配的双通道耦合振荡器中，从AD到OD的转变被从振荡状态（OS）到AD或从OS到OD的转变所取代。我们的研究结果有助于更好地理解AD和OD的控制及其过渡过程。
Oscillation quenching including amplitude death (AD) and oscillation death (OD) in addition to the transition processes between them have been hot topics in aspect of chaos control, physical and biological applications. The effects of dual-channel coupling on the AD and OD dynamics regimes, and their transition processes in coupled nonidentical oscillators are explored numerically and theoretically. Our results indicate that an additional repulsive coupling tends to shrink the AD domain while it enlarges the OD domain, however, an additional attractive coupling acts inversely. As a result, the transitions from AD to OD are replaced by transitions from oscillation state (OS) to AD or from OS to OD in the dual-channel coupled oscillators with different frequency mismatches. Our results are helpful to better understand the control of AD and OD and their transition processes.