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In this review article, we discuss connections between the physics of disordered systems, phase transitions in inference problems, and computational hardness. We introduce two models representing the behavior of glassy systems, the spiked…

Disordered Systems and Neural Networks · Physics 2022-12-07 David Gamarnik , Cristopher Moore , Lenka Zdeborová

We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic…

Chaotic Dynamics · Physics 2009-11-10 Chil-Min Kim , Won-Ho Kye , Sunghwan Rim , Dong-Uk Hwang , Inbo Kim , Young-Jai Park , Eok-Kyun Lee

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

New methods are developed for the stabilization of a linear system with general time-varying distributed delays existing at the system's states, inputs and outputs. In contrast to most existing literature where the function of time-varying…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Feng , Sing Kiong Nguang , Wilfrid Perruquetti

We investigate the interplay of generalized global symmetries in 2+1 dimensions in a lattice model that couples a $\mathbb{Z}_N$ clock model to a $\mathbb{Z}_N$ gauge theory via a topological interaction. This coupling binds the charges of…

Strongly Correlated Electrons · Physics 2025-05-16 Benjamin Moy , Eduardo Fradkin

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

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is…

Chaotic Dynamics · Physics 2015-05-13 G. Ambika , R. E. Amritkar

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

We investigate the emergence of synchronization in a network of coupled chaotic macroeconomic systems. Each node represents an economy characterized by three key variables savings, gross domestic product (GDP), and foreign capital inflows.…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Thierry Njougouo , Fernando Fagundes Ferreira , Diego Garlaschelli

Coupled metronomes serve as a paradigmatic model for exploring the collective behaviors of complex dynamical systems, as well as a classical setup for classroom demonstrations of synchronization phenomena. Whereas previous studies of…

Chaotic Dynamics · Physics 2017-03-24 Jing Zhang , Yizhen Yu , Xingang Wang

We study the synchronization of a coupled map lattice consisting of a one-dimensional chain of logistic maps. We consider global coupling with a time-delay that takes into account the finite velocity of propagation of interactions. We…

Chaotic Dynamics · Physics 2009-11-10 Arturo C. Marti , C. Masoller

Synchronization of spatiotemporally chaotic extended systems is considered in the context of coupled one-dimensional Complex Ginzburg-Landau equations (CGLE). A regime of coupled spatiotemporal intermittency (STI) is identified and…

chao-dyn · Physics 2009-10-28 A. Amengual , E. Hernandez-Garcia , R. Montagne , M. San Miguel

This paper explores the structural controllability of switched linear continuous-time systems. It first identifies a gap in the proof for a pivotal criterion for the structural controllability of switched linear systems in the literature.…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Yuan Zhang , Yuanqing Xia , Aming Li

In this paper we characterize the output feedback stabilization of some coupled systems with delay. The proof of the main result uses the method introduced in Ammari and Tucsnak \cite{at} where the exponential stability for the closed loop…

Analysis of PDEs · Mathematics 2010-10-19 E. M. Ait Benhassi , K. Ammari , S. Boulite , L. Maniar

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short of capturing these group dynamics, as they…

Adaptation and Self-Organizing Systems · Physics 2024-08-23 Md Sayeed Anwar , S. Nirmala Jenifer , Paulsamy Muruganandam , Dibakar Ghosh , Timoteo Carletti

This paper investigates the transient synchronization stability in power systems hybridized with virtual synchronous generators (VSGs) and synchronous generators (SGs). A relative swing equation model is established to capture the transient…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Changjun He , Li Zhang , Qi Liu , Rui Zou

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

Optimization and Control · Mathematics 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

Two replicas of spatially extended chaotic systems synchronize to a common spatio-temporal chaotic state when coupled above a critical strength. As a prototype of each single spatio-temporal chaotic system a lattice of maps interacting via…

Chaotic Dynamics · Physics 2008-09-23 M. Cencini , C. J. Tessone , A. Torcini

A generalised form of time-translation-invariance permits to re-derive the known generic phenomenology of ageing, which arises in classical many-body systems after a quench from an initially disordered system to a temperature $T\leq T_c$,…

Statistical Mechanics · Physics 2025-05-30 Malte Henkel

This study presents a synchronisation-oriented perspective towards adaptive control which views model-referenced adaptation as synchronisation between actual and virtual dynamic systems. In the context of adaptation, model reference…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Namhoon Cho , Seokwon Lee , Hyo-Sang Shin