Amplitude death in oscillators coupled by a one-way ring time-delay connection

K Konishi - Physical Review E—Statistical, Nonlinear, and Soft …, 2004 - APS
The coupling induced stabilization of a steady state, which is called amplitude death, cannot
be observed in identical nonlinear oscillators coupled by diffusive connections. However, it …

Control of delay-induced oscillation death by coupling phase in coupled oscillators

W Zou, J Lu, Y Tang, C Zhang, J Kurths - Physical Review E—Statistical …, 2011 - APS
A coupling phase is deemed to be crucial in stabilizing behavior in nonlinear systems. In this
paper, we study how the coupling phase influences the delay-induced oscillation death (OD) …

Occasional coupling enhances amplitude death in delay-coupled oscillators

A Ghosh, S Mondal, RI Sujith - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
This paper aims to study amplitude death in time delay coupled oscillators using the
occasional coupling scheme that implies intermittent interaction among the oscillators. An …

Amplitude death in coupled chaotic oscillators

A Prasad - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
Amplitude death can occur in chaotic dynamical systems with time-delay coupling, similar to
the case of coupled limit cycles. The coupling leads to stabilization of fixed points of the …

Limitation of time-delay induced amplitude death

K Konishi - Physics Letters A, 2005 - Elsevier
The present Letter provides the sufficient condition for avoiding amplitude death in two
identical nonlinear systems coupled by a delay diffusive connection. This condition is that if …

Amplitude death in time-delay nonlinear oscillators coupled by diffusive connections

K Konishi, K Senda, H Kokame - … Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
This paper analyzes the stability of the amplitude death phenomenon that occurs in a pair of
scalar time-delay nonlinear oscillators coupled by static, dynamic, and delayed connections …

Amplitude death in systems of coupled oscillators with distributed-delay coupling

YN Kyrychko, KB Blyuss, E Schöll - The European Physical Journal B, 2011 - Springer
This paper studies the effects of coupling with distributed delay on the suppression of
oscillations in a system of coupled Stuart-Landau oscillators. Conditions for amplitude death …

Partial amplitude death in coupled chaotic oscillators

W Liu, J Xiao, J Yang - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
Partial amplitude death in coupled chaotic oscillators Page 1 Partial amplitude death in coupled
chaotic oscillators Weiqing Liu, Jinghua Xiao, and Junzhong Yang* School of Science, Beijing …

Oscillation death in asymmetrically delay-coupled oscillators

W Zou, Y Tang, L Li, J Kurths - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
Symmetrically coupled oscillators represent a limiting case for studying the dynamics of
natural systems. Therefore, we here investigate the effect of coupling asymmetry on delay …

Stability analysis and design of amplitude death induced by a time-varying delay connection

K Konishi, H Kokame, N Hara - Physics Letters A, 2010 - Elsevier
The present Letter considers amplitude death in a pair of oscillators coupled by a time-
varying delay connection. A linear stability analysis is used to derive the boundary curves for …