Hamiltonian distributed chaos in long-term solar activity

TL;DR

This paper demonstrates that long-term solar activity, as indicated by sunspot numbers from 1750 to 2005, exhibits spectral features characteristic of Hamiltonian distributed chaos with broken time symmetry.

Contribution

It reveals that the spectral properties of solar activity follow Hamiltonian distributed chaos, highlighting a novel connection between solar dynamics and chaos theory.

Findings

Spectral analysis shows Hamiltonian distributed chaos in solar activity.

Broken time translational symmetry observed in the spectral properties.

Long-term sunspot data supports chaotic dynamical behavior.

Abstract

It is shown that the long-term solar activity (represented by the dynamically covered monthly time series of the sunspot number for period 1750-2005yy) exhibits spectral properties of the Hamiltonian distributed chaos with spontaneously broken time translational symmetry.