Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology
Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology
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DOI：
10.1140/epjb/e2020-10018-5
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发表时间：
2020-07
期刊：
影响因子：
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通讯作者：
Yuki Okigawa;Yoshiki Sugitani;K. Konishi
中科院分区：
文献类型：
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作者：
Yuki Okigawa;Yoshiki Sugitani;K. Konishi
摘要本文研究了具有非对称连接时延和树形拓扑结构的振荡器网络中的幅值死亡问题。频域分析表明，局部稳态稳定性主要取决于连接振子之间的连接时滞之和。在此基础上，我们证明了只要系统的连接时滞之和满足一定的条件，系统的局部定态稳定性就可以退化为具有对称连接时滞的定态稳定性.数值模拟验证了分析结果。图形摘要
AbstractThe present study investigates amplitude death in an oscillator network withasymmetricconnection delays and a tree graph topology. A frequency domain analysis reveals that the local steady-state stability is dominated by the sum of the connection delays between connected oscillators. Based on this observation, we show that the local steady-state stability can be reduced to that with symmetric connection delays, as long as the sum of the connection delays between connected oscillators satisfies a certain condition. Numerical simulations verify the analytical results.Graphical abstract