EMERGENCE OF ORDERED MOTION OF THE OSCILLATOR DRIVEN BY FLUCTUATING FORCE

Abstract

Computational experiments with double pendulum, Tacker’s oscillator and steel beam, described by Duffing equations, are performed. We assume that a fluid drives the oscillator by fluctuating force. The considered complex motion is a combination
of deterministic chaos and stochasticity. If amount of the fluctuating force is large enough (the number of fluid particles interacting with the oscillator is then large), oscillator motion becomes ordered. Similar result is obtained in the Lorenz model, when considering a part of the Earth atmosphere interacting with surrounding air.
Keywords: double pendulum, chaos, stochasticity, emergence.