Abstract
We study the period doubling cascade to chaos of fluxon oscillations in long Josephson junctions in terms of Lyapunov exponents. We find that, except near bifurcations, the Lyapunov spectrum of all periodic orbits is the same. Near a bifurcation the exponents split symmetrically around the periodic orbit value and return back to it after the bifurcation. This behavior is analytically described in terms of a symplectic map and the results are compared with direct numerical calculations.
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