Energy growth for a nonlinear oscillator coupled to a monochromatic wave

TL;DR

This paper demonstrates how a chaotic oscillator coupled with a monochromatic wave can experience unbounded energy growth due to energy transfer from the wave, highlighting complex dynamics in coupled nonlinear systems.

Contribution

It introduces a model of a chaotic oscillator coupled to a wave equation, showing unbounded energy growth driven by chaos-induced energy transfer.

Findings

Chaotic behavior enables energy transfer from wave to oscillator.

Oscillator energy can grow without bound over time.

Coupling induces complex energy dynamics in the system.

Abstract

A system consisting of a chaotic (billiard-like) oscillator coupled to a linear wave equation in the three-dimensional space is considered. It is shown that the chaotic behaviour of the oscillator can cause the transfer of energy from a monochromatic wave to the oscillator, whose energy can grow without bound.