Type of trajectory instability for a movable disk model of the lithosphere

Physics

Scientific paper

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Scientific paper

A toy model of seismicity, based on a system of movable interacting disks, was used to evaluate the velocity of chaotization process in coordinate phase space. This paper pursues two major goals: to demonstrate that the model reproduces some important features of seismicity in terms of similarity of energy dissipation processes in the model and in the lithosphere; and to show that the simple measure of trajectory separation increases with time, not as a standard Lyapunov exponent, but rather obeying the power law, resulting in a `weak chaos' situation.

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