A new deterministic model for chaotic reversals

Details A new deterministic model for chaotic reversals A new deterministic model for chaotic reversals

2011-09-29

arxiv.org/abs/1109.6569v2

Nonlinear Sciences

Chaotic Dynamics

12 pages, 14 figures, accepted in EPJB

Scientific paper

10.1140/epjb/e2012-20799-5

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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