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In the present Letter we show that the concept of the generalized synchronization regime in discrete maps needs refining in the same way as it has been done for the flow systems [PRE, 84 (2011) 037201]. We have shown that\alkor{, in the…

A universal mechanism underlying generalized synchronization conditions in unidirectionally coupled stochastic oscillators is considered. The consideration is carried out in the framework of a modified system with additional dissipation.…

Chaotic Dynamics · Physics 2009-11-11 A. A. Koronovskii , O. I. Moskalenko , A. E. Hramov

We study the synchronization of a linear array of globally coupled identical logistic maps. We consider a time-delayed coupling that takes into account the finite velocity of propagation of the interactions. We find globally synchronized…

Chaotic Dynamics · Physics 2016-08-16 A. C. Martí , C. Masoller

Multiplex networks provide a proper framework for understanding the dynamics of complex systems with differing types of interactions. This study considers different dynamical states possible in a multiplex network of nonlinear oscillators,…

Adaptation and Self-Organizing Systems · Physics 2025-05-27 Aiwin T Vadakkan , G. Ambika

Anticipated synchronisation occurs when a driven dynamical system synchronises with the future state of the driver system to which it is unidirectionally coupled. Previous theoretical and experimental studies have focused on setups with a…

Chaotic Dynamics · Physics 2026-03-04 David Ortiz del Campo , Tobias Galla , Raúl Toral

The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear transformation of coordinates and velocities. This is a rather…

Differential Geometry · Mathematics 2022-03-11 W. Sarlet , T. Mestdag

In the past decade, synchronization on complex networks has attracted increasing attentions from various research disciplines. Most previous works, however, focus only on the dynamic behaviors of synchronization process in the stable…

Data Analysis, Statistics and Probability · Physics 2011-10-26 Zhao Zhuo , Shimin Cai , Jie Zhang , Zhongqian Fu

We introduce a technique to detect and quantify local functional dependencies between coupled chaotic systems. The method estimates the fraction of locally syncronized configurations, in a pair of signals with an arbitrary state of global…

Chaotic Dynamics · Physics 2009-11-10 L. Pastur , S. Boccaletti , P. L. Ramazza

We study convergence in networks of piecewise-smooth (PWS) systems that commonly arise in applications to model dynamical systems whose evolution is affected by macroscopic events such as switches and impacts. Existing approaches were…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Marco Coraggio , Pietro DeLellis , S. John Hogan , Mario di Bernardo

We consider a population of globally coupled oscillators in which phase shifts in the coupling are random. We show that in the maximally disordered case, where the pairwise shifts are i.i.d. random variables, the dynamics of a large…

Adaptation and Self-Organizing Systems · Physics 2024-07-19 Lev A. Smirnov , Arkady Pikovsky

Decentralized heading control is crucial for robotic network operations such as surveillance, exploration, and cooperative construction. However, few results consider decentralized heading control when the speed of heading adjustment is…

Systems and Control · Electrical Eng. & Systems 2019-10-17 Timothy Anglea , Yongqiang Wang

Synchronization is an important behavior that characterizes many natural and human made systems composed by several interacting units. It can be found in a broad spectrum of applications, ranging from neuroscience to power-grids, to mention…

Adaptation and Self-Organizing Systems · Physics 2025-10-22 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

Optimization and Control · Mathematics 2024-02-29 Kexue Zhang

Synchronization forms the basis of many coordination phenomena in natural systems, enabling them to function cohesively and support their fundamental operations. However, there are scenarios where synchronization disrupts a system's proper…

Adaptation and Self-Organizing Systems · Physics 2024-12-02 Gourab Kumar Sar , Md Sayeed Anwar , Martin Moriamé , Dibakar Ghosh , Timoteo Carletti

We propose a set of general coupling conditions to select a coupling profile (a set of coupling matrices) from the linear flow matrix (LFM) of dynamical systems for realizing global stability of complete synchronization (CS) in identical…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Suman Saha , Arindam Mishra , E. Padmanaban , Sourav K. Bhowmick , Prodyot K. Roy , Bivas Dam , Syamal K. Dana

The design and control of winged aircraft and drones is an iterative process aimed at identifying a compromise of mission-specific costs and constraints. When agility is required, shape-shifting (morphing) drones represent an efficient…

We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to the other oscillators in the network. Specifically, each oscillator couples to the…

Chaotic Dynamics · Physics 2019-05-22 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

For linear networks, where the coupling between the agents takes place through periodic impulses, a simple method is proposed for synchronization. It is shown that closing the loop by (normalized) deadbeat feedback gain produces synchronous…

Optimization and Control · Mathematics 2023-08-22 S. Emre Tuna

The high-dimensional generalization of the one-dimensional Kuramoto paradigm has been an essential step in bringing about a more faithful depiction of the dynamics of real-world systems. Despite the multi-dimensional nature of the…

Adaptation and Self-Organizing Systems · Physics 2021-08-27 Chongzhi Wang , Haibin Shao , Dewei Li

Hybrid systems are characterized by having an interaction between continuous dynamics and discrete events. The contribution of this paper is to provide hybrid systems with a novel geometric formulation so that controls can be added. Using…

Optimization and Control · Mathematics 2020-06-23 M. Barbero Liñán , J. Cortés , D. Martín de Diego , S. Martínez , M. C. Muñoz Lecanda
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