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We investigate the effect of repulsive coupling together with an attractive coupling in a network of nonlocally coupled oscillators. To understand the complex interaction between these two couplings we introduce a control parameter in the…

Adaptation and Self-Organizing Systems · Physics 2018-04-04 K. Sathiyadevi , V. K. Chandrasekar , D. V. Senthilkumar , M. Lakshmanan

A death of oscillation is reported in a network of coupled synchronized oscillators in presence of additional repulsive coupling. The repulsive link evolves as an averaging effect of mutual interaction between two neighboring oscillators…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 C. R. Hens , Olasunkanmi I. Olusola , Pinaki Pal , Syamal K. Dana

Understanding the intriguing physical effects of long-range interactions is a common theme in a host of physical systems. In this work, based on the classical screened Coulomb interacting ring model, we investigate the dynamical effects of…

Soft Condensed Matter · Physics 2021-05-10 Zhenwei Yao

Most previous studies on coupled dynamical systems assume that all interactions between oscillators take place uniformly in time, but in reality, this does not necessarily reflect the usual scenario. The heterogeneity in the timings of such…

Adaptation and Self-Organizing Systems · Physics 2021-05-26 Shiva Dixit , Sayantan Nag Chowdhury , Dibakar Ghosh , Manish Dev Shrimali

We numerically and analytically analyze transitions between different synchronous states in a network of globally coupled phase oscillators with attractive and repulsive interactions. The elements within the attractive or repulsive group…

Chaotic Dynamics · Physics 2019-10-23 Erik Teichmann , Michael Rosenblum

The effect of time-delayed coupling on the collective behavior of a population of globally coupled complex Ginzburg-Landau (GCCGL) oscillators is investigated. A detailed numerical study is carried out to study the impact of time delay on…

Adaptation and Self-Organizing Systems · Physics 2019-05-22 Bhumika Thakur , Abhijit Sen

We investigate the collective behavior of a system of chaotic Rossler oscillators indirectly coupled through a common environment that possesses its own dynamics and which in turn is modulated by the interaction with the oscillators. By…

Chaotic Dynamics · Physics 2015-06-19 C. Quintero-Quiroz , M. G. Cosenza

The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states,…

Adaptation and Self-Organizing Systems · Physics 2021-01-12 Shiva Dixit , Sayantan Nag Chowdhury , Awadhesh Prasad , Dibakar Ghosh , Manish Dev Shrimali

Coupled limit cycle oscillators with pairwise interactions depict phase transitions to amplitude or oscillation death. This Letter introduces a scheme for higher-order interactions, which can not be decomposed into pairwise interactions. We…

Adaptation and Self-Organizing Systems · Physics 2023-08-08 Subhasanket Dutta , Umesh Kumar Verma , Sarika Jalan

This paper reports the occurrence of several chimera patterns and the associated transitions among them in a network of coupled oscillators, which are connected by a long range interaction that obeys a distance-dependent power law. This…

Chaotic Dynamics · Physics 2016-09-21 Tanmoy Banerjee , Partha Sharathi Dutta , Anna Zakharova , Eckehard Schoell

Experiments and supporting theoretical analysis is presented to describe the synchronization patterns that can be observed with a population of globally coupled electrochemical oscillators close to a homoclinic, saddle-loop bifurcation,…

Adaptation and Self-Organizing Systems · Physics 2018-04-10 Hiroshi Kori , István Z. Kiss , Swati Jain , John L. Hudson

We investigate the impact of a common external system, which we call a common environment, on the Oscillator Death (OD) states of a group of Stuart-Landau oscillators. The group of oscillators yield a completely symmetric OD state when…

Adaptation and Self-Organizing Systems · Physics 2018-10-03 Sudhanshu Shekhar Chaurasia , Manish Yadav , Sudeshna Sinha

In this paper, we study dynamical systems in which a large number $N$ of identical Landau-Stuart oscillators are globally coupled via a mean-field. Previously, it has been observed that this type of system can exhibit a variety of different…

Chaotic Dynamics · Physics 2014-12-15 Wai Lim Ku , Michelle Girvan , Edward Ott

Emerging collective behavior in complex dynamical networks depends on both coupling function and underlying coupling topology. Through this perspective, we provide a brief yet profound excerpt of recent research efforts that explore how the…

Physics and Society · Physics 2021-07-29 Soumen Majhi , Sayantan Nag Chowdhury , Dibakar Ghosh

Long-range interactions are ubiquitous in nature, where they are mediated by diffusive fields at the cellular scale or by visual cues for groups of animals. Short-range forces, which are paradigmatic in physics, can thus often be neglected…

Soft Condensed Matter · Physics 2025-07-15 Quan Manh Nguyen , Alberto Dinelli , Gianmarco Spera , Julien Tailleur

We study the emergent dynamics of quantum self-sustained oscillators induced by the simultaneous presence of attraction and repulsion in the coupling path. We consider quantum Stuart-Landau oscillators under attractive-repulsive coupling…

Quantum Physics · Physics 2024-08-26 Bulti Paul , Biswabibek Bandyopadhyay , Tanmoy Banerjee

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

We study the onset of synchronization in lattices of limit cycle oscillators with long-range coupling by means of numerical simulations. In this regime the critical coupling strength depends on the system size and interaction range…

Statistical Mechanics · Physics 2009-11-07 M. S. O. Massunaga , M. Bahiana

In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the…

Chaotic Dynamics · Physics 2017-01-19 P. Brzeski , E. Pavlovskaia , T. Kapitaniak , P. Perlikowski

We discuss the desynchronization transition in networks of globally coupled identical oscillators with attractive and repulsive interactions. We show that, if attractive and repulsive groups act in antiphase or close to that, a solitary…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Yuri Maistrenko , Bogdan Penkovsky , Michael Rosenblum
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