Chacón Ricardo, Martínez Pedro J
Departamento de Física Aplicada, E.I.I., <a href="https://ror.org/0174shg90">Universidad de Extremadura</a>, Apartado Postal 382, E-06006 Badajoz, Spain and Instituto de Computación Científica Avanzada (ICCAEx), <a href="https://ror.org/0174shg90">Universidad de Extremadura</a>, E-06006 Badajoz, Spain.
Departamento de Física Aplicada, E.I.N.A., <a href="https://ror.org/012a91z28">Universidad de Zaragoza</a>, E-50018 Zaragoza, Spain and Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-<a href="https://ror.org/012a91z28">Universidad de Zaragoza</a>, E-50009 Zaragoza, Spain.
Phys Rev E. 2024 Jul;110(1-1):014209. doi: 10.1103/PhysRevE.110.014209.
Characterizing the emergence of chaotic dynamics of complex networks is an essential task in nonlinear science with potential important applications in many fields such as neural control engineering, microgrid technologies, and ecological networks. Here, we solve a critical outstanding problem in this multidisciplinary research field: the emergence and persistence of spatiotemporal chaos in complex networks of damped-driven nonlinear oscillators in the significant weak-coupling regime, while they exhibit regular behavior when uncoupled. By developing a comprehensive theory with the aid of standard analytical methods, a hierarchy of lower-dimensional effective models, and extensive numerical simulations, we uncover and characterize the basic physical mechanisms concerning both heterogeneity-induced and impulse-induced emergence, enhancement, and suppression of chaos in starlike and scale-free networks of periodically driven, dissipative nonlinear oscillators.
刻画复杂网络混沌动力学的出现是非线性科学中的一项重要任务，在神经控制工程、微电网技术和生态网络等许多领域具有潜在的重要应用。在此，我们解决了这个多学科研究领域中一个关键的突出问题：在显著弱耦合 regime 下，阻尼驱动非线性振荡器的复杂网络中时空混沌的出现和持续存在，而当它们未耦合时表现出规则行为。通过借助标准分析方法、低维有效模型层次结构和广泛的数值模拟开发一种综合理论，我们揭示并刻画了关于周期性驱动、耗散非线性振荡器的星型和无标度网络中异质性诱导和脉冲诱导的混沌出现、增强和抑制的基本物理机制。
