A new deterministic model for chaotic reversals
Chaotic Dynamics
2012-03-05 v2 Geophysics
Abstract
We present a new chaotic system of three coupled ordinary differential equations, limited to quadratic nonlinear terms. A wide variety of dynamical regimes are reported. For some parameters, chaotic reversals of the amplitudes are produced by crisis-induced intermittency, following a mechanism different from what is generally observed in similar deterministic models. Despite its simplicity, this system therefore generates a rich dynamics, able to model more complex physical systems. In particular, a comparison with reversals of the magnetic field of the Earth shows a surprisingly good agreement, and highlights the relevance of deterministic chaos to describe geomagnetic field dynamics.
Cite
@article{arxiv.1109.6569,
title = {A new deterministic model for chaotic reversals},
author = {Christophe Gissinger},
journal= {arXiv preprint arXiv:1109.6569},
year = {2012}
}
Comments
12 pages, 14 figures, accepted in EPJB