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arXiv · 1109.6569

A new deterministic model for chaotic reversals

Christophe Gissinger
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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.

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Christophe Gissinger. 2011-09-29. A new deterministic model for chaotic reversals. https://doi.org/10.1140/epjb/e2012-20799-5

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