The effects of dual-channel coupling on the transition from amplitude death to oscillation death

¹ School of Science, Jiangxi University of Science and Technology - Ganzhou 341000, PRC
² School of Science, Beijing University of Posts and Telecommunications - Beijing 100876, PRC
³ State Key Lab Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications - Beijing 100876, PRC

^(a) wqliujx@gmail.com (corresponding author)

Received: 10 May 2016
Accepted: 3 August 2016

Abstract

Oscillation quenching including amplitude death (AD) and oscillation death (OD) in addition to the transition processes between them have been hot topics in aspect of chaos control, physical and biological applications. The effects of dual-channel coupling on the AD and OD dynamics regimes, and their transition processes in coupled nonidentical oscillators are explored numerically and theoretically. Our results indicate that an additional repulsive coupling tends to shrink the AD domain while it enlarges the OD domain, however, an additional attractive coupling acts inversely. As a result, the transitions from AD to OD are replaced by transitions from oscillation state (OS) to AD or from OS to OD in the dual-channel coupled oscillators with different frequency mismatches. Our results are helpful to better understand the control of AD and OD and their transition processes.