Internal energy exchanges and chaotic dynamics in an intrinsically coupled system

Intrinsically coupled nonlinear systems typically present different oscillating components that exchange energy among themselves. A paradigmatic example is the spring pendulum, for which we identify spring, and oscillations. We propose a new approach properly accounts coupling, allows analysis of exchanges types oscillation. obtain rate enhanced chaotic orbits. Moreover, highest rates coupling occur in vicinity homoclinic tangle primary hyperbolic point embedded sea. The results demonstrate clear relation between internal dynamics systems, being an efficient way to distinguish regular from