Internal energy exchanges and chaotic dynamics in an intrinsically coupled system

TL;DR

This paper investigates energy exchanges in an intrinsically coupled nonlinear system, revealing that chaotic dynamics enhance energy transfer and are linked to the system's underlying chaotic structures.

Contribution

It provides a detailed analysis of energy exchanges in coupled oscillators, highlighting the relationship between chaos and energy transfer rates in such systems.

Findings

Energy exchange rates increase in chaotic orbits.

Maximum energy exchange occurs along the homoclinic tangle.

Internal energy exchanges are closely related to system dynamics.

Abstract

Intrinsically coupled nonlinear systems present different oscillating components that exchange energy among themselves. A paradigmatic example is the spring pendulum, which displays spring, pendulum, and coupled oscillations. We analyze the energy exchanges among the oscillations, and obtain that it is enhanced for chaotic orbits. Moreover, the highest rates of energy exchange for the coupling occur along the homoclinic tangle of the primary hyperbolic point embedded in a chaotic sea. The results show a clear relation between internal energy exchanges and the dynamics of a coupled system.