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The paper presents a method by which the mean field dynamics of a population of dynamical systems with parameter diversity and global coupling can be described in terms of a few macroscopic degrees of freedom. The method applies to…

Statistical Mechanics · Physics 2009-11-07 Silvia De Monte , Francesco d'Ovidio , Erik Mosekilde

In this letter, we experimentally demonstrate an efficient scheme to regulate the behaviour of coupled nonlinear oscillators through dynamic control of their interaction. It is observed that introducing intermittency in the interaction term…

Adaptation and Self-Organizing Systems · Physics 2022-07-20 Shiva Dixit , Manaoj Aravind , P. Parmananda

We experimentally demonstrate the occurrence of various synchronized states in coupled piece-wise linear time-delayed electronic circuits using dynamic environment coupling where the environment has its own intrinsic dynamics via feedback…

Chaotic Dynamics · Physics 2015-06-15 R. Suresh , K. Srinivasan , D. V. Senthilkumar , K. Murali , M. Lakshmanan , J. Kurths

This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

Chaotic Dynamics · Physics 2017-02-13 Leandro M. Alonso

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

Chaotic Dynamics · Physics 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

When developing high-speed and high-precision CNC machine tools, subsystem coupling effects must be considered while designing the feed system to maximize its dynamic performance. Currently, the influence of changes in control parameters on…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Dongsheng Zhang , Xuesong Wang , Tingting Zhang

In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized…

Disordered Systems and Neural Networks · Physics 2015-05-27 Francesco Sorrentino , Maurizio Porfiri

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results recently proposed. We consider two…

Chaotic Dynamics · Physics 2009-11-13 M. S. Baptista , S. P. Garcia , S. K. Dana , J. Kurths

We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The criteria can also be used to design couplings…

chao-dyn · Physics 2009-10-30 Reggie Brown , Nikolai F. Rulkov

Previous research on nonlinear oscillator networks has shown that chaos synchronization is attainable for identical oscillators but deteriorates in the presence of parameter mismatches. Here, we identify regimes for which the opposite…

Adaptation and Self-Organizing Systems · Physics 2021-04-29 Yoshiki Sugitani , Yuanzhao Zhang , Adilson E. Motter

In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work…

Quantum Physics · Physics 2020-01-30 Joseph Tindall , Carlos Sánchez Muñoz , Berislav Buča , Dieter Jaksch

We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose…

Condensed Matter · Physics 2009-10-31 C. Palenzuela , R. Toral , C. R. Mirasso , O. Calvo , J. D. Gunton

We study the versatile performance of networks of coupled circuits. Each of these circuits is composed of a positive and a negative feedback loop in a motif that is frequently found in genetic and neural networks. When two of these circuits…

Adaptation and Self-Organizing Systems · Physics 2015-06-22 Darka Labavić , Hildegard Meyer-Ortmanns

Dynamical systems can be coupled in a manner that is designed to drive the resulting dynamics onto a specified lower dimensional submanifold in the phase space of the combined system. On the submanifold, the variables of the two systems…

Chaotic Dynamics · Physics 2025-12-11 Vishal Juneja , Suresh Kumarasamy , Aryan Patel , Amrita Punnavajhala , Ram Ramaswamy

We revisit the problem of switching off unwanted phase evolution and decoherence in a single two-state quantum system in the light of recent results on random dynamical decoupling methods [L. Viola and E. Knill, Phys. Rev. Lett. {\bf 94},…

Quantum Physics · Physics 2009-11-11 Lea F. Santos , Lorenza Viola

Controlling and understanding phenomena in coupled systems remains a significant challenge across diverse fields. This study investigates a simple globally coupled chemical system that exhibits a range of rich collective dynamics, from…

Pattern Formation and Solitons · Physics 2024-12-11 Premashis Kumar

This paper considers a spin chain model by numerically solving the exact model to explore the non-perturbative dynamical decoupling regime, where an important issue arises recently (J. Jing, L.-A. Wu, J. Q. You and T. Yu, arXiv:1202.5056.).…

Quantum Physics · Physics 2015-06-04 Zhao-Ming Wang , Lian-Ao Wu , Jun Jing , Bin Shao , Ting Yu

We study a system of two-mode stochastic oscillators coupled through their collective output. As a function of a relevant parameter four qualitatively distinct regimes of collective behavior are observed. In an extended region of the…

Statistical Mechanics · Physics 2009-11-07 A. Nikitin , Z. Neda , T. Vicsek

We investigate synchronization between two unidirectionally linearly coupled chaotic non-identical time-delayed systems and show that parameter mismatches are of crucial importance to achieve synchronization. We establish that independent…

Chaotic Dynamics · Physics 2015-06-26 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore
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