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A fractal method for chaos in conservative closed systems of several dimensions

A. E. Motter·P. S. Letelier
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Abstract

A fractal method to detect, locate and quantify chaos in multi-dimensional-conservative-closed systems, based on the creation of artificial exits, is presented. The method is invariant under space-time changes of coordinates and can be used to analyse both classical and relativistic Hamiltonian systems of more than two degrees of freedom. As an application of the method we study a couple of two standard maps associated to a periodically kicked rotor of $2{1/2}$ degrees of freedom.

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A. E. Motter, P. S. Letelier. 2001-01-10. A fractal method for chaos in conservative closed systems of several dimensions. https://arxiv.org/abs/nlin/0101021

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