☆ 4.7 Article

Stability of amplitude death in conjugate-coupled nonlinear oscillator networks

APPLIED MATHEMATICS LETTERS (2022)

Related references

Note: Only part of the references are listed.

Review Physics, Multidisciplinary

Quenching, aging, and reviving in coupled dynamical networks

Wei Zou et al.

Summary: The study of rhythmic behaviors in coupled dynamical networks is an active and rapidly evolving field, covering various aspects from oscillation quenching to reviving. These investigations provide vital insights into the collapse and revival of macroscopic rhythmic behaviors, enhancing our understanding of evading irreversible failures of coupled dynamical networks.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2021)

Add to Collection

Article Physics, Fluids & Plasmas

Effects of frequency mismatch on amplitude death in delay-coupled oscillators

Shinsuke Mizukami et al.

Summary: This paper analyzes the effects of frequency mismatch on the stability of equilibrium points within a pair of Stuart-Landau oscillators coupled by a delay connection. It reveals the existence of four types of stability boundary curves in a coupling parameters space, which depend solely on the frequency mismatch. Appropriate frequency mismatches and delay times can induce amplitude death with strong stability, even with weak coupling. Furthermore, some of these analytical results are applicable to oscillator networks with complete bipartite topologies.

PHYSICAL REVIEW E (2021)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Conjugate coupling in ecosystems: Cross-predation stabilizes food webs

Rajat Karnatak et al.

CHAOS SOLITONS & FRACTALS (2014)

Add to Collection

Article Physics, Fluids & Plasmas

Effect of mixed coupling on relay-coupled Rossler and Lorenz oscillators

Amit Sharma et al.

PHYSICAL REVIEW E (2014)

Add to Collection

Article Physics, Fluids & Plasmas

Topology-free design for amplitude death in time-delayed oscillators coupled by a delayed connection

Luan Ba Le et al.

PHYSICAL REVIEW E (2013)

Add to Collection

Article Physics, Multidisciplinary

Reviving Oscillations in Coupled Nonlinear Oscillators

Wei Zou et al.

PHYSICAL REVIEW LETTERS (2013)

Add to Collection

Review Physics, Multidisciplinary

Amplitude death: The emergence of stationarity in coupled nonlinear systems

Garima Saxena et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2012)

Add to Collection

Article Mathematics, Interdisciplinary Applications

ANALYTICAL CONDITIONS FOR AMPLITUDE DEATH INDUCED BY CONJUGATE VARIABLE COUPLINGS

Xiaoming Zhang et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2011)

Add to Collection

Article Physics, Fluids & Plasmas

Exploring the dynamics of conjugate coupled Chua circuits: Simulations and experiments

Tanu Singla et al.

PHYSICAL REVIEW E (2011)

Add to Collection

Article Physics, Fluids & Plasmas

Topology-free stability of a steady state in network systems with dynamic connections

Keiji Konishi et al.

PHYSICAL REVIEW E (2011)

Add to Collection

Article Mathematics, Applied

Nonlinear stability of discontinuous Galerkin methods for delay differential equations

Dongfang Li et al.

APPLIED MATHEMATICS LETTERS (2010)

Add to Collection

Article Physics, Fluids & Plasmas

Amplitude death in the absence of time delays in identical coupled oscillators

Rajat Karnatak et al.

PHYSICAL REVIEW E (2007)

Add to Collection

Article Mathematics, Applied

Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators

Yongli Song et al.

JOURNAL OF NONLINEAR SCIENCE (2007)

Add to Collection

Article Mathematics

Oscillator death in coupled functional differential equations near Hopf bifurcation

FM Atay

JOURNAL OF DIFFERENTIAL EQUATIONS (2006)

Add to Collection

Article Physics, Multidisciplinary

Scaling behavior of laser population dynamics with time-delayed coupling: Theory and experiment

MY Kim et al.

PHYSICAL REVIEW LETTERS (2005)

Add to Collection

Article Physics, Multidisciplinary

Distributed delays facilitate amplitude death of coupled oscillators

FM Atay

PHYSICAL REVIEW LETTERS (2003)

Add to Collection

© Peeref 2019-2024. All rights reserved.