Geodesics deviation equation approach to chaos

1999/01/12 by Tomasz Dobrowolski, Dobrowolski, Tomasz, Jerzy Szczęsny +2 · 1 citation
Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Material Science and Thermodynamics #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9901007

arxiv created 1999/01/12 · openalex publication_date 1999/01/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Geometric investigation of chaos unfolding in Hamiltonian systems

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