弹跳球的自组织临界性与间断平衡
Self-organised-criticality and punctuated equilibrium in bouncing balls
摘要:
一个非线性耦合系统的弹跳球表现出的功能,如自组织临界(SOC)和间断平衡(PE)在适当的参数域。非平稳振幅的时间演变进行了分析,通过当地的方法来解开瞬态周期性成分和波动引起SOC和PE型行为。这个简单的动力系统遵循古腾堡-里克特关系,也体现了魔鬼的楼梯,说明这些特点在不同的复杂系统的普遍性。
英文摘要:
A nonlinearly coupled system of bouncing balls is shown to exhibit features like self-organised-criticality (SOC) and punctuated equilibrium (PE) in suitable parameter domains. The temporal evolution of the non-stationary amplitudes is analysed through local methods to unravel the transient periodic components and fluctuations giving rise to SOC and PE type behaviours. This simple dynamical system follows Gutenberg-Richter relation and also manifests the Devil's staircase, explicating the universality of these features in diverse complex systems.
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