Amplitude Death Induced by Mechanical Coupling

Abstract

Amplitude death is a physical phenomenon that occurs in coupled systems where oscillation is dead and comes to fixed points. Based on the basic mechanical oscillators, a new kind of coupling named mechanical coupling is proposed to induce amplitude death. Both direct coupling and time delay coupling of mechanical oscillators are tested to be able to induce amplitude death. The amplitude death region is found to be influenced by the coupling strength. Numerical examples of lorenz oscillators and rossler oscillators are also simulated and found that the chaotic motion is induced to death with properly designed parameters. The significant practical applications of the new mechanism of amplitude death is discussed.