A new deterministic model for chaotic reversals

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.

12 pages, 14 figures, accepted in EPJB

References in corpus (4)

• Generation of magnetic field by dynamo action in a turbulent flow of liquid sodium
• A simple mechanism for the reversals of Earth's magnetic field
• Chaotic magnetic field reversals in turbulent dynamos
• The clustering of polarity reversals of the geomagnetic field

Cited by in corpus (8)

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• Deep Learning of Conjugate Mappings
• Can one use Earth's magnetic axial dipole field intensity to predict reversals?
• Computing the quasipotential for highly dissipative and chaotic SDEs. An application to stochastic Lorenz'63
• Evidence for crisis-induced intermittency during geomagnetic superchron transitions
• Basins of Attraction: A Dynamical Zoo
• Dynamo transition in a five-mode helical model
• Symmetrized importance samplers for stochastic differential equations