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arXiv · 1608.04401

Self-organised-criticality and punctuated equilibrium in bouncing balls

Kaushal Gianchandani·A. N. Sekar Iyengar·Prasanta K. Panigrahi
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Abstract

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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Kaushal Gianchandani, A. N. Sekar Iyengar, Prasanta K. Panigrahi. 2016-08-15. Self-organised-criticality and punctuated equilibrium in bouncing balls. https://arxiv.org/abs/1608.04401

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