English

Self-organised-criticality and punctuated equilibrium in bouncing balls

Chaotic Dynamics 2016-08-17 v1 Adaptation and Self-Organizing Systems

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.

Keywords

Cite

@article{arxiv.1608.04401,
  title  = {Self-organised-criticality and punctuated equilibrium in bouncing balls},
  author = {Kaushal Gianchandani and A. N. Sekar Iyengar and Prasanta K. Panigrahi},
  journal= {arXiv preprint arXiv:1608.04401},
  year   = {2016}
}

Comments

5 pages, 10 figures

R2 v1 2026-06-22T15:20:22.888Z