English

Universality in spectral condensation

Adaptation and Self-Organizing Systems 2020-12-08 v1 Pattern Formation and Solitons

Abstract

Self-organization is the spontaneous formation of spatial, temporal, or spatiotemporal patterns in complex systems far from equilibrium. During such self-organization, energy distributed in a broadband of frequencies gets condensed into a dominant mode, analogous to a condensation phenomena. We call this phenomenon spectral condensation and study its occurrence in fluid mechanical, optical and electronic systems. We define a set of spectral measures to quantify this condensation spanning several dynamical systems. Further, we uncover an inverse power law behaviour of spectral measures with the power corresponding to the dominant peak in the power spectrum in all the aforementioned systems.

Keywords

Cite

@article{arxiv.2004.10585,
  title  = {Universality in spectral condensation},
  author = {Induja Pavithran and Vishnu R. Unni and Alan John Varghese and D. Premraj and R. I. Sujith and C. Vijayan and Abhishek Saha and Norbert Marwan and Jürgen Kurths},
  journal= {arXiv preprint arXiv:2004.10585},
  year   = {2020}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-23T15:01:38.455Z