Nonlinear problems of complex natural systems: Sun and climate dynamics

TL;DR

This paper explores the role of nonlinear one-third subharmonic resonance in generating fluctuations in climate and solar activity, linking phenomena like El Nino, millennial temperature variations, and the solar cycle.

Contribution

It demonstrates the significance of the one-third subharmonic resonance mechanism across various natural systems and time scales, integrating wavelet regression analysis with climate and solar data.

Findings

Oceanic Rossby waves influence year-scale temperature fluctuations.

The one-third subharmonic resonance underpins millennial temperature variations.

Resonance effects contribute to the 11-year solar cycle and multidecadal climate coherence.

Abstract

Universal role of the nonlinear one-third subharmonic resonance mechanism in generation of the strong fluctuations in such complex natural dynamical systems as global climate and global solar activity is discussed using wavelet regression detrended data. Role of the oceanic Rossby waves in the year-scale global temperature fluctuations and the nonlinear resonance contribution to the El Nino phenomenon have been discussed in detail. The large fluctuations of the reconstructed temperature on the millennial time-scales (Antarctic ice cores data for the past 400,000 years) are also shown to be dominated by the one-third subharmonic resonance, presumably related to Earth precession effect on the energy that the intertropical regions receive from the Sun. Effects of Galactic turbulence on the temperature fluctuations are discussed in this content. It is also shown that the one-third subharmonic resonance can be considered as a background for the 11-years solar cycle, and again the global (solar) rotation and chaotic propagating waves play significant role in this phenomenon. Finally, a multidecadal chaotic coherence between the detrended solar activity and global temperature has been briefly discussed.