论文标题
内部耦合系统中的内部能量交换和混乱的动力学
Internal energy exchanges and chaotic dynamics in an intrinsically coupled system
论文作者
论文摘要
本质上耦合的非线性系统呈现出不同的振荡组件，它们之间交换能量。一个范式的例子是弹簧摆，它显示弹簧，摆和耦合振荡。我们分析了振荡之间的能量交换，并获得了混沌轨道的增强。此外，偶联的最高能量交换发生率沿着混沌海中的主要双曲线点的同骨缠结发生。结果表明内部能量交换与耦合系统的动力学之间存在明确的关系。
Intrinsically coupled nonlinear systems present different oscillating components that exchange energy among themselves. A paradigmatic example is the spring pendulum, which displays spring, pendulum, and coupled oscillations. We analyze the energy exchanges among the oscillations, and obtain that it is enhanced for chaotic orbits. Moreover, the highest rates of energy exchange for the coupling occur along the homoclinic tangle of the primary hyperbolic point embedded in a chaotic sea. The results show a clear relation between internal energy exchanges and the dynamics of a coupled system.
