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Stability-instability transitions in Hamiltonian systems ofndimensions

1987
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Physical review. A, General physics
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We show analytically that for a class of simple periodic motions in a general Hamiltonian system of n dimensions, if C is a parameter of the system and Cz one of its generally many critical values at which the motion undergoes a stability-instability transition, the behavior of the largest Lyapunov exponent p as C approaches Ce from the unstable region is given by µ, =constX |~ C-C p | β where β= 1/2, independent of the transition point, type of transitions, or the dimensionality of the system.

doi:10.1103/physreva.35.847
pmid:9898211
fatcat:tghekkqm4ngnnpynbzmeb6s3ki