Geodesics deviation equation approach to chaos
classification
chao-dyn
nlin.CD
keywords
chaosdeviationequationformulatedgeodesicsadiabaticapproachapproximation
read the original 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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