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We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

We study the collective dynamics of coupled Stuart--Landau oscillators, which model limit-cycle behavior near a Hopf bifurcation and serve as the amplitude-phase analogue of the Kuramoto model. Unlike the well-studied phase-reduced systems,…

Dynamical Systems · Mathematics 2025-10-08 Ana P Millán , David Poyato , David N Reynolds , Francesco Tudisco

This paper addresses the behavior of large systems of heterogeneous, globally coupled oscillators each of which is described by the generic Landau-Stuart equation, which incorporates both phase and amplitude dynamics of individual…

Chaotic Dynamics · Physics 2013-04-16 Wai Shing Lee , Edward Ott , Thomas M. Antonsen

Network interactions between dynamical units are often subject to time delay. We develop a phase reduction method for delay-coupled oscillator networks. The method is based on rewriting the delay-differential equation as an ordinary…

Dynamical Systems · Mathematics 2025-11-03 Christian Bick , Bob W. Rink , Babette A. J. de Wolff

Many natural and man-made systems require suitable feedback to function properly. In this study, we aim to investigate the impact of additional complex conjugate feedback on globally coupled Stuart-Landau oscillators. We find that this…

Adaptation and Self-Organizing Systems · Physics 2022-09-14 K. Sathiyadevi , D. Premraj , Tanmoy Banerjee , M. Lakshmanan

Flutter suppression facilitates the improvement of structural reliability to ensure the flight safety of an aircraft. In this study, we propose a novel strategy for enlarging amplitude death (AD) regime to enhance flutter suppression in two…

Chaotic Dynamics · Physics 2025-12-01 Qi Liu , Riccardo Muolo , Hiroya Nakao , Yong Xu

We study the effect of coupling delay in a regular network with a ring topology and in a more complex network with an all-to-all (global) topology in the presence of impurities (disorder). We find that the coupling delay is capable of…

Chaotic Dynamics · Physics 2011-12-26 D. V. Senthilkumar , R. Suresh , Jane H. Sheeba , M. Lakshmanan , J. Kurths

We probe the physical mechanism behind the known phenomenon of power synchronization of two diode lasers that are mutually coupled via their delayed optical fields. In a diode laser, the amplitude and the phase of the optical field are…

Optics · Physics 2015-06-03 Vishwa Pal , Awadhesh Prasad , R Ghosh

Spontaneous rhythmic oscillations are widely observed in various real-world systems. In particular, biological rhythms, which typically arise via synchronization of many self-oscillatory cells, often play important functional roles in…

Adaptation and Self-Organizing Systems · Physics 2021-06-11 Hiroya Nakao

We explore the aging transition in a network of globally coupled Stuart-Landau oscillators under a discrete time-dependent coupling. In this coupling, the connections among the oscillators are turned ON and OFF in a systematic manner,…

Adaptation and Self-Organizing Systems · Physics 2022-04-06 K. Sathiyadevi , D. Premraj , Tanmoy Banerjee , Zhigang Zheng , M. Lakshmanan

This paper presents a master stability function (MSF) approach for analyzing the stability of amplitude death (AD) in networks of delay-coupled oscillators. Unlike the familiar MSFs for instantaneously coupled networks, which typically have…

Dynamical Systems · Mathematics 2016-05-18 Stanley R. Huddy , Jie Sun

We numerically investigate the effect of phase-amplitude coupling modulation on power spectra in semiconductor lasers subject to optical injection in a face to face configuration, when a non-negligible injection delay time is taken into…

Optics · Physics 2017-03-01 Pramod Kumar , Sudeshna Sinhac , Vishwa Pald , John Gerard McInerney

Continuing on the recent observation that sudden death of entanglement can occur even when a single qubit of a two qubit state is exposed to noisy environment, we examine the local effects of several noises on bipartite qubit-qutrit and…

Quantum Physics · Physics 2013-10-03 K. O. Yashodamma , P. J. Geetha , Sudha

This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of…

Chaotic Dynamics · Physics 2014-10-28 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

We study the coupling induced destabilization in an array of identical oscillators coupled in a ring structure where the number of oscillators in the ring is large. The coupling structure includes different types of interactions with…

Dynamical Systems · Mathematics 2012-06-01 S. Yanchuk , P. Perlikowski , M. Wolfrum , A. Stefanski , T. Kapitaniak

The presence of undesirable large-amplitude self-sustained oscillations in combustors resulting from thermoacoustic instability can lead to performance loss and structural damage to components of gas turbine and rocket engines. Traditional…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 Sneha Srikanth , Ankit Sahay , Samadhan A. Pawar , Krishna Manoj , R. I. Sujith

We study oscillation death (OD) in a well-known coupled-oscillator system that has been used to model cardiovascular phenomena. We derive exact analytic conditions that allow the prediction of OD through the two known bifurcation routes, in…

Adaptation and Self-Organizing Systems · Physics 2012-08-08 J. J. Suarez-Vargas , J. A. Gonzalez , A. Stefanovska , P. V. E. McClintock

The present paper examines the active control of parametric resonance in modified Rayleigh-Duffing oscillator. We used the method of averaging to obtain steady-state solutions. We have found the critical value of the parametrical amplitude…

Fluid Dynamics · Physics 2016-05-18 C. H. Miwadinou , A. V. Monwanou , J. B. Chabi Orou

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

We report a design of delay coupling for targeting desired synchronization in delay dynamical systems. We target synchronization, antisynchronization, lag-, antilag- synchronization, amplitude death (or oscillation death) and generalized…

Chaotic Dynamics · Physics 2012-07-04 Dibakar Ghosh , Ioan Grosu , Syamal Kumar Dana