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We report a new collective dynamical state, namely the {\it mixed mode oscillation suppression} state where different set of variables of a system of coupled oscillators show different types of oscillation suppression states. We identify…

Chaotic Dynamics · Physics 2015-12-09 Debarati Ghosh , Tanmoy Banerjee

Restoration of oscillation from an oscillation suppressed state in coupled oscillators is an important topic of research and has been studied widely in recent years. However, the same in the quantum regime has not been explored yet. Recent…

Quantum Physics · Physics 2021-06-30 Biswabibek Bandyopadhyay , Tanmoy Banerjee

Entangled states of rotating, trapped ultracold bosons form a very promising scenario for quantum metrology. In order to employ such states for metrology, it is vital to understand their detailed form and the enhanced accuracy with which…

Quantum Physics · Physics 2015-06-15 L. M. Rico-Gutierrez , T. P. Spiller , J. A. Dunningham

A lattice of three-state stochastic phase-coupled oscillators introduced by Wood it et al. exhibits a phase transition at a critical value of the coupling parameter $a$, leading to stable global oscillations (GO). On a complete graph, upon…

Statistical Mechanics · Physics 2019-12-10 Kevin Liu Rodrigues , Ronald Dickman

Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the…

Chaotic Dynamics · Physics 2015-07-21 Tian Qiu , Yue Zhang , Jie Liu , Hongjie Bi , S. Boccaletti , Zonghua Liu , Shuguang Guan

In this report, we investigate the stabilization of saddle fixed points in coupled oscillators where individual oscillators exhibit the saddle fixed points. The coupled oscillators may have two structurally different types of suppressed…

Chaotic Dynamics · Physics 2017-07-07 Sarbendu Rakshit , Bidesh K. Bera , Soumen Majhi , Chittaranjan Hens , Dibakar Ghosh

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

We study quenched disordered polymerized membranes in their flat phase by means of a three-loop perturbative analysis performed in dimension $D = 4-\epsilon$. We derive the renormalization group equations at this order and solve them up to…

Disordered Systems and Neural Networks · Physics 2022-12-14 S. Metayer , D. Mouhanna

A coupled map model for the chaotic phase synchronization and its desynchronization phenomenon is proposed. The model is constructed by integrating the coupled kicked oscillator system, kicking strength depending on the complex state…

Chaotic Dynamics · Physics 2007-05-23 Hirokazu Fujisaka , Satoki Uchiyama , Takehiko Horita

This study explores a method to characterize temporal structure of intermittent phase locking in oscillatory systems. When an oscillatory system is in a weakly synchronized regime away from a synchronization threshold, it spends most of the…

Dynamical Systems · Mathematics 2011-09-21 Sungwoo Ahn , Choongseok Park , Leonid L. Rubchinsky

Entanglement and coherence protection are investigated using the dynamical map of three non-interacting qubits that are initially prepared as maximally entangled GHZ-like states coupled to external fields in solid-state and superconducting…

Quantum Physics · Physics 2021-11-03 Atta Ur Rahman , ZhaoXu Ji , HuanGuo Zhang

Phase synchronization is shown to occur between opposite cells of a ring consisting of chaotic Lorenz oscillators coupled unidirectionally through driving. As the coupling strength is diminished, full phase synchronization cannot be…

chao-dyn · Physics 2015-06-24 D. Pazo , I. P. Marino , V. Perez-Munuzuri , V. Perez-Villar

The effects of a distributed 'weak generic kernel' delay on cyclically coupled limit cycle and chaotic oscillators are considered. For coupled Van der Pol oscillators (and in fact, other oscillators as well) the delay can produce…

Chaotic Dynamics · Physics 2020-02-14 Ryan Roopnarain , S. Roy Choudhury

Nonlinear isolated and coupled oscillators are extensively studied as prototypical nonlinear dynamics models. Much attention has been devoted to oscillator synchronization or the lack thereof. Here, we study the synchronization and…

Pattern Formation and Solitons · Physics 2023-01-04 Golan Bel , Boian S. Alexandrov , Alan R. Bishop , Kim Ø. Rasmussen

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

Disordered Systems and Neural Networks · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

In current MIMO mobile communication systems, phase noise can significantly impair performance. To allow for compensation of these impairments, accurate phase noise modeling is necessary. Numerical modeling of the phase noise process at a…

Signal Processing · Electrical Eng. & Systems 2026-04-10 Carl Collmann , Ahmad Nimr , Gerhard Fettweis

We investigate oscillation death in systems of coupled nonlinear oscillators with feedback loop. We find that feedback results in oscillation death both in small sets or large ensembles. More importantly, the death zone in parameter space…

Adaptation and Self-Organizing Systems · Physics 2011-11-15 Ming Luo

We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be introduced explicitly, we develop an analytic perturbation…

Adaptation and Self-Organizing Systems · Physics 2020-07-29 Erik Genge , Erik Teichmann , Michael Rosenblum , Arkady Pikovsky

Differing from synchronous generators, there are lack of physical laws governing the synchronization dynamics of voltage-source converters (VSCs). The widely used phase-locked loop (PLL) plays a critical role in maintaining the synchronism…

Systems and Control · Computer Science 2019-09-04 Heng Wu , Xiongfei Wang

Many physical, biological and neural systems behave as coupled oscillators, with characteristic phase coupling across different frequencies. Methods such as $n:m$ phase locking value and bi-phase locking value have previously been proposed…

Neurons and Cognition · Quantitative Biology 2022-01-04 Bhavya Vasudeva , Runfeng Tian , Dee H. Wu , Shirley A. James , Hazem H. Refai , Fei He , Yuan Yang