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RESEARCH PRODUCT

Intermittent-Type Chaos in Nonsinusoidal Driven Oscillators

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The intermittent-type chaos occurring in rf- and dc- nonsinusoidal driven oscillators is investigated analytically and numerically. The attention is focused on a general class of oscillators in which the total potential VRP(,r) is the Remoissenet-Peyrard potential which has constant amplitude and is 2π-periodic in , and whose shape can be varied as a function of parameter r ( |r| < 1). A simple physical model for calculating analytically the Melnikov function is proposed. The onset of chaos is studied through an analysis of the phase space, a construction of the bifurcation diagram and a computation of the Lyapunov exponent. The parameter regions of chaotic behaviour predicted by the theoretical analysis agree very well with numerical simulations. Chaotic motions are shown to be more intensive when a particle is embedded in a potential with a flat bottom (0 < r < 1) than in a potential with a flat top (-1 < r < 0).