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Intrinsically coupled nonlinear systems present different oscillatingcomponents that exchange energy among themselves. A paradigmatic example is thespring pendulum, which displays spring, pendulum, and coupled oscillations. Weanalyze the energy exchanges among the oscillations, and obtain that it isenhanced for chaotic orbits. Moreover, the highest rates of energy exchange forthe coupling occur along the homoclinic tangle of the primary hyperbolic pointembedded in a chaotic sea. The results show a clear relation between internalenergy exchanges and the dynamics of a coupled system.

Internal energy exchanges and chaotic dynamics in an intrinsically coupled system