Chaos in an intermittently driven damped oscillator

TL;DR

This paper investigates chaotic behavior in a damped linear oscillator driven intermittently, exploring both deterministic and stochastic driving forces and analyzing the resulting complex dynamics using nonlinear methods.

Contribution

It introduces the novel observation of chaos in a linear oscillator driven intermittently, contrasting deterministic and random drives and examining their effects on system dynamics.

Findings

Chaotic dynamics observed in a linear oscillator with intermittent driving.

Both deterministic and stochastic drives can induce chaos.

Interchanging roles of determinism and randomness affects the system's behavior.

Abstract

We observe chaotic dynamics in a damped linear oscillator, which is driven only at certain regions of phase space. Both deterministic and random drives are studied. The dynamics is characterized using standard techniques of nonlinear dynamics. Interchanging roles of determinism and stochasticity is also considered.