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We study a continuous-time dynamical system of nodes diffusively coupled over a hierarchical network to examine the efficiency and performance tradeoffs that organizations, teams, and command and control units face while achieving…

系统与控制 · 电气工程与系统科学 2026-03-20 Lorenzo Zino , Mengbin Ye , Brian D. O. Anderson

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic…

适应与自组织系统 · 物理学 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , A. Navas , S. Olmi , S. Boccaletti

Cells must continuously sense and respond to time-varying environmental stimuli. These signals are transmitted and processed by biochemical signalling networks. However, the biochemical reactions making up these networks are intrinsically…

分子网络 · 定量生物学 2015-05-18 Filipe Tostevin , Pieter Rein ten Wolde

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

统计力学 · 物理学 2026-05-20 Benjamin Sorkin , Thomas A. Witten

We investigate synchronization between two unidirectionally coupled chaotic multi-feedback Ikeda systems and find both the existence and stability conditions for anticipating, lag, and complete synchronizations.Generalization of the…

混沌动力学 · 物理学 2009-11-10 E. M. Shahverdiev

We investigate the synchronization behavior and the emergence of chimera states in a system of two interacting populations of maps possessing chaotic neural-like dynamics. We characterize four collective states on the space of coupling…

适应与自组织系统 · 物理学 2024-07-31 V. J. Márquez-Rodríguez , K. Tucci , M. G. Cosenza

The loss of synchronizability at large coupling strength is of major concern especially in the fields of secure communication and complex systems. Because theoretically, the coupling mode that can surely stabilize the chaotic/hyperchaotic…

混沌动力学 · 物理学 2018-01-08 Harpartap Singh

The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all generators must synchronize and run at the same frequency and…

适应与自组织系统 · 物理学 2017-09-13 Debsankha Manik , Marc Timme , Dirk Witthaut

A synchronization mechanism driven by annealed noise is studied for two replicas of a coupled-map lattice which exhibits stable chaos (SC), i.e. irregular behavior despite a negative Lyapunov spectrum. We show that the observed…

统计力学 · 物理学 2007-05-23 F. Bagnoli , F. Cecconi

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

无序系统与神经网络 · 物理学 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

A family of stochastic processes has quasi-cycle oscillations if the oscillations are sustained by noise. For such a family we define a Kuramoto-type coupling of both phase and amplitude processes. We find that synchronization, as measured…

动力系统 · 数学 2015-11-30 Priscilla E. Greenwood , Lawrence M. Ward

We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we…

统计力学 · 物理学 2007-05-23 Franco Bagnoli , Lucia Baroni , Paolo Palmerini

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a…

混沌动力学 · 物理学 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich

We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled…

适应与自组织系统 · 物理学 2009-11-10 Ernest Montbrió , Jürgen Kurths , Bernd Blasius

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

混沌动力学 · 物理学 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type…

混沌动力学 · 物理学 2009-11-11 R. E. Amritkar , Sarika Jalan

A unified approach for analyzing synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient…

适应与自组织系统 · 物理学 2015-05-19 Georgi S. Medvedev

Network interactions that are nonlinear in the state of more than two nodes - also known as higher-order interactions - can have a profound impact on the collective network dynamics. Here we develop a coupled cell hypernetwork formalism to…

动力系统 · 数学 2023-08-02 Manuela Aguiar , Christian Bick , Ana Dias

The synchronization of rhythms is ubiquitous in both natural and engineered systems, and the demand for data-driven analysis is growing. When rhythms arise from limit cycles, phase reduction theory shows that their dynamics are universally…

混沌动力学 · 物理学 2026-02-20 Haruma Furukawa , Takashi Imai , Toshio Aoyagi

In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically and experimentally how the degree of the nodes through which two networks are…

物理与社会 · 物理学 2015-06-19 J. Aguirre , R. Sevilla-Escoboza , R. Gutiérrez , D. Papo , J. M. Buldú