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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…

无序系统与神经网络 · 物理学 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…

混沌动力学 · 物理学 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…

最优化与控制 · 数学 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…

系统与控制 · 电气工程与系统科学 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…

强关联电子 · 物理学 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…

混沌动力学 · 物理学 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…

混沌动力学 · 物理学 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…

统计力学 · 物理学 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.…

适应与自组织系统 · 物理学 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…

混沌动力学 · 物理学 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…

混沌动力学 · 物理学 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 · 物理学 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.…

系统与控制 · 电气工程与系统科学 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…

偏微分方程分析 · 数学 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…

适应与自组织系统 · 物理学 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…

系统与控制 · 电气工程与系统科学 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…

最优化与控制 · 数学 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…

混沌动力学 · 物理学 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 $T\leq T_c$,…

统计力学 · 物理学 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…

系统与控制 · 电气工程与系统科学 2024-03-15 Namhoon Cho , Seokwon Lee , Hyo-Sang Shin