小世界网络中的混沌
Chaos in Small-World Networks
摘要：
提出了一个非线性小世界网络模型，研究了非线性相互作用和时滞对小世界网络动力学性质的影响。数值模拟和解析分析表明，当非线性相互作用足够强或网络长度足够大时，系统响应具有混沌特征。此外，小世界系统在不同尺度上的行为可能非常不同。时滞参数对小世界网络的临界长度和响应时间等性质也有很大的影响。
英文摘要：
A nonlinear small-world network model has been presented to investigate the effect of nonlinear interaction and time delay on the dynamic properties of small-world networks. Both numerical simulations and analytical analysis for networks with time delay and nonlinear interaction show chaotic features in the system response when nonlinear interaction is strong enough or the length scale is large enough. In addition, the small-world system may behave very differently on different scales. Time-delay parameter also has a very strong effect on properties such as the critical length and response time of small-world networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
