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Geodesics deviation equation approach to chaos

Tomasz Dobrowolski·Jerzy Szczesny
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Abstract

Geodesics deviation equation (GDE) is itroduced. In "adiabatic" approximation exact solution of the GDE if found. Perturbation theory in general case is formulated. Geometrical criterion of local instability which may lead to chaos is formulated.

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BibTeXRIS

Tomasz Dobrowolski, Jerzy Szczesny. 1999-01-12. Geodesics deviation equation approach to chaos. https://arxiv.org/abs/chao-dyn/9901007

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