Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system

Troy Shinbrot; William Ditto; Celso Grebogi; Edward Ott; Mark Spano; James A. Yorke

doi:10.1103/PhysRevLett.68.2863

Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system

Troy Shinbrot, William Ditto, Celso Grebogi, Edward Ott, Mark Spano, and James A. Yorke

Phys. Rev. Lett. 68, 2863 – Published 11 May 1992

Abstract

In this paper we present the first experimental verification that the sensitivity of a chaotic system to small perturbations (the ‘‘butterfly effect’’) can be used to rapidly direct orbits from an arbitrary initial state to an arbitrary accessible desired state.