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We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of…

Chaotic Dynamics · Physics 2017-08-02 Bidesh K. Bera , Dibakar Ghosh , Punit Parmananda , G. V. Osipov , Syamal K. Dana

We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical…

Pattern Formation and Solitons · Physics 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum

In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells. We first show that one excitable and one oscillatory cell…

Dynamical Systems · Mathematics 2019-06-05 Derek Orr , Bard Ermentrout

We study the entanglement in various fully-gapped complex paired states of fermions in two dimensions, focusing on the entanglement spectrum (ES), and using the BCS form of the ground state wavefunction on a cylinder. Certain forms of the…

Strongly Correlated Electrons · Physics 2014-07-25 J. Dubail , N. Read

Fermi gas with time-dependent pairing interaction hosts several different dynamical states. Coupling between the collective BCS pairing mode and individual Cooper pair states can make the latter either synchronize or dephase. We describe…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 R. A. Barankov , L. S. Levitov

Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

Interaction within an ensemble of coupled nonlinear oscillators induces a variety of collective behaviors. One of the most fascinating is a chimera state which manifests the coexistence of spatially distinct populations of coherent and…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Nikita Frolov , Vladimir Maksimenko , Soumen Majhi , Sarbendu Rakshit , Dibakar Ghosh , Alexander Hramov

We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable…

Chaotic Dynamics · Physics 2016-01-20 Arindam Mishra , Chittaranjan Hens , Mridul Bose , Prodyot K. Roy , Syamal K. Dana

We study the effect of network topology on the collective dynamics of an oscillator ensemble. Specifically, we explore explosive synchronization in a system of interacting star networks. Explosive synchronization is characterized by an…

Chaotic Dynamics · Physics 2024-05-22 Ruby Varshney , Kaustubh Manchanda , Haider Hasan Jafri

The sectoral synchronization observed for the Japanese business cycle in the Indices of Industrial Production data is an example of synchronization. The stability of this synchronization under a shock, e.g., fluctuation of supply or demand,…

Statistical Finance · Quantitative Finance 2011-11-01 Y. Ikeda , H. Aoyama , Y. Fujiwara , H. Iyetomi , K. Ogimoto , W. Souma , H. Yoshikawa

We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Per Sebastian Skardal , Can Xu

When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here we show that alternative persistent states may also exist that break the symmetries of the…

Adaptation and Self-Organizing Systems · Physics 2016-05-10 Xin Jiang , Daniel M. Abrams

In this article we study synchronization of systems of homogeneous phase-coupled oscillators with plastic coupling strengths and arbitrary underlying topology. The dynamics of the coupling strength between two oscillators is governed by the…

Dynamical Systems · Mathematics 2016-02-24 Andrey Gushchin , Enrique Mallada , Ao Tang

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance…

Statistical Mechanics · Physics 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

Chimera states have been a vibrant subject of research in the recent past, but the analytical treatment of transitions from chimeras to coherent states remains a challenge. Here we analytically derive the necessary conditions for this…

Adaptation and Self-Organizing Systems · Physics 2019-08-07 Sarbendu Rakshit , Zahra Faghani , Fatemeh Parastesh , Shirin Panahi , Sajad Jafari , Dibakar Ghosh , Matjaz Perc

We characterize the synchronization of an array of coupled chaotic elements as a phase transition where order parameters related to the joint probability at two sites obey power laws versus the mutual coupling strength; the phase transition…

Chaotic Dynamics · Physics 2007-05-23 F. T. Arecchi , M. Ciszak

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

The study of synchronization of coupled systems is currently undergoing a major surge fueled by recent discoveries of new forms of collective dynamics and the development of techniques to characterize a myriad of new patterns of network…

Disordered Systems and Neural Networks · Physics 2016-10-05 Daniel M. Abrams , Louis M. Pecora , Adilson E. Motter

We study the existence of chimera states, i.e. mixed states, in a globally coupled sine circle map lattice, with different strengths of inter-group and intra-group coupling. We find that at specific values of the parameters of the CML, a…

Chaotic Dynamics · Physics 2020-03-18 Joydeep Singha , Neelima Gupte