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Motivated by large-scale optimization problems arising in the context of machine learning, there have been several advances in the study of asynchronous parallel and distributed optimization methods during the past decade. Asynchronous…

Machine Learning · Computer Science 2020-06-25 Mahmoud Assran , Arda Aytekin , Hamid Feyzmahdavian , Mikael Johansson , Michael Rabbat

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

Systems and Control · Computer Science 2013-12-24 He Bai , S. Yusef Shafi

Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

Optics · Physics 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

In this paper, a new approach to the problem of stabilizing a chaotic system is presented. In this regard, stabilization is done by sustaining chaotic properties of the system. Sustaining the chaotic properties has been mentioned to be of…

Chaotic Dynamics · Physics 2012-05-18 Mozhgan Mombeini , Ali Khaki Sedigh , Mohammad Ali Nekoui

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

Dynamical Systems · Mathematics 2008-01-21 S. Emre Tuna

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

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

This paper is mainly concerned with the robustly stable adaptive control of single-input single-output impulse-free linear time-invariant singular dynamic systems of known order and unknown parameterizations subject to single external point…

Optimization and Control · Mathematics 2008-04-07 M. De la Sen

A method of targeting engineering synchronization states in two identical and mismatch chaotic systems is explained in details. The method is proposed using linear feedback controller coupling for engineering synchronization such as mixed…

Chaotic Dynamics · Physics 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh

In this paper we present an analytical study on the synchronization dynamics observed in unidirectionally-coupled quasiperiodically-forced systems that exhibit Strange Non-chaotic Attractors (SNA) in their dynamics. The SNA dynamics…

Chaotic Dynamics · Physics 2016-12-23 G. Sivaganesh , A. Arulgnanam

Multi-agent systems cooperation to achieve global goals is usually limited by sensing, actuation, and communication issues. At the local level, continuous measurement and actuation is only approximated by the use of digital mechanisms that…

Optimization and Control · Mathematics 2016-11-18 Eloy Garcia , Yongcan Cao , David W. Casbeer

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular…

Statistical Mechanics · Physics 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

Cluster synchronization in synthetic networks of coupled chaotic oscillators is investigated. It is found that despite the asymmetric nature of the network structure, a subset of the oscillators can be synchronized as a cluster while the…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Huawei Fan , Yafeng Wang , Yao Du , Haibo Qiu , Xingang Wang

We investigate the processes of synchronization and phase ordering in a system of globally coupled maps possessing bistable, chaotic local dynamics. The stability boundaries of the synchronized states are determined on the space of…

Chaotic Dynamics · Physics 2014-02-21 O. Alvarez-Llamoza , M. G. Cosenza

Self-adaptive software is considered as the most advanced approach and its development attracts a lot of attention. Decentralization is an effective way to design and manage the complexity of modern self-adaptive software systems. However,…

Software Engineering · Computer Science 2018-01-01 Nianyu Li , Di Bai , Zhuoqun Yang , Wenpin Jiao

The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with…

Plasma Physics · Physics 2009-11-11 Roman A. Filatov , Alexander E. Hramov , Alexey A. Koronovskii

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

Adaptation and Self-Organizing Systems · Physics 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

In a state-update protocol for a system of $L$ asynchronous parallel processes that communicate only with nearest neighbors, global desynchronization in operation times can be deduced from kinetic roughening of the corresponding…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 A. Kolakowska , M. A. Novotny

In this paper, we present a space-and-time-synchronized control method with application to the simultaneous tracking/formation. In the framework of polar coordinates, through correlating and decoupling the reference/actual kinematics…

Systems and Control · Electrical Eng. & Systems 2022-05-05 Peng Wang , Ziyin Chen , Xiaobing Zhang

We study the completely synchronized states (CSSs) of a system of coupled logistic maps as a function of three parameters: interaction strength ($\varepsilon$), range of the interaction ($\alpha$), that can vary from first-neighbors to…

Chaotic Dynamics · Physics 2018-03-07 Celia Anteneodo , Juan Carlos Gonzalez-Avella , Raul O. Vallejos
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