Oscillation death in coupled counter-rotating identical nonlinear oscillators
Chaotic Dynamics
2019-08-15 v2
Abstract
We study oscillatory and oscillation suppressed phases in coupled counter-rotating nonlinear oscillators. We demonstrate the existence of limit cycle, amplitude death, and oscillation death, and also clarify the Hopf, pitchfork, and infinite period bifurcations between them. Especially, the oscillation death is a new type of oscillation suppressions of which the inhomogeneous steady states are neutrally stable. We discuss the robust neutral stability of the oscillation death in non-conservative systems via the anti-PT-symmetric phase transitions at exceptional points in terms of non-Hermitian systems.
Keywords
Cite
@article{arxiv.1904.07450,
title = {Oscillation death in coupled counter-rotating identical nonlinear oscillators},
author = {Jung-Wan Ryu and Woo-Sik Son and Dong-Uk Hwang},
journal= {arXiv preprint arXiv:1904.07450},
year = {2019}
}
Comments
7 pages, 4 figures