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The Agentic Service Ecosystem consists of heterogeneous autonomous agents (e.g., intelligent machines, humans, and human-machine hybrid systems) that interact through resource exchange and service co-creation. These agents, with distinct…

Multiagent Systems · Computer Science 2025-08-12 Xuwen Zhang , Xiao Xue , Xia Xie , Qun Ma , Xiangning Yu , Deyu Zhou , Yifan Wang , Ming Zhang

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

A form of "remote synchronization" was recently described wherein amplitude fluctuations across a ring of non-identical, non-linear electronic oscillators become entrained into spatially-structured patterns. According to linear models and…

Chaotic Dynamics · Physics 2018-06-26 Ludovico Minati , Luca Faes , Mattia Frasca , Pawel Oswiecimka , Stanislaw Drozdz

The paper addresses the synchronization of multi-agent systems with continuous-time dynamics interacting through a very general class of monotonic continuous signal functions that covers estimation biases, approximation of discrete…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Anthony Couthures , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu

An oscillatory system can have clockwise and anticlockwise senses of rotation. We propose a general rule how to obtain counter-rotating oscillators from the definition of a dynamical system and then investigate synchronization. A type of…

Chaotic Dynamics · Physics 2015-05-28 S. K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

This paper presents a distributed Lyapunov-based control framework for achieving both complete and phase synchronization in a class of leader-follower multi-agent systems composed of identical chaotic agents. The proposed approach…

Dynamical Systems · Mathematics 2025-11-25 Marzieh Basiri Abarghoei , Mohammad Reza Ahmadi Zand

Several theorems are demonstrated that determine the sufficient conditions for the existence of synchronized states (periodical and chaotic) and also of travelling waves in a CML. Also are analytically proven the existence of…

Pattern Formation and Solitons · Physics 2008-02-14 M. Dolores Sotelo Herrera , Jesus San Martin

We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi

Numerical problems are considered on general synchronization of chaotic oscillators, through the evaluation of the Lower Bound Error index on two case studies: a Lorenz system unidirectionally coupled to a Duffing system and a Duffing…

This paper proposes a general model for synchronized crowding behavior. An order parameter is introduced to quantify the level of synchronization which is shown a function of percentage of agents in reactive state. Further, synchronization…

General Finance · Quantitative Finance 2016-12-06 Jake J. Xia

A model of interacting motile chaotic elements is proposed. The chaotic elements are distributed in space and interact with each other through interactions depending on their positions and their internal states. As the value of a governing…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Tatsuo Shibata , Kunihiko Kaneko

In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an unbounded distribution of intrinsic time scales.…

Chaotic Dynamics · Physics 2007-05-23 Antonio Pujol-Pere , Oscar Calvo , Manuel A. Matias , Juergen Kurths

We introduce a new methodology for the analysis of the phenomenon of chaotic itinerancy in a dynamical system using the notion of entropy and a clustering algorithm. We determine systems likely to experience chaotic itinerancy by means of…

Chaotic Dynamics · Physics 2025-12-09 Nikodem Mierski , Paweł Pilarczyk

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Two types of phase synchronization (accordingly, two scenarios of breaking phase synchronization) between coupled stochastic oscillators are shown to exist depending on the discrepancy between the control parameters of interacting…

Chaotic Dynamics · Physics 2007-05-23 A. A. Koronovskii , M. K. Kurovskaya , O. I. Moskalenko , A. E. Hramov

The chaotic synchronization regime in coupled dynamical systems is considered. It has been shown, that the onset of synchronous regime is based on the appearance of the phase relation between interacting chaotic oscillators frequency…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Mariya Kurovskaya , Olga Moskalenko

Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatio-temporal chaotic state above a certain coupling strength. The synchronization…

Chaotic Dynamics · Physics 2009-11-11 Claudio Juan Tessone , Massimo Cencini , Alessandro Torcini

The problem of dynamic estimation of all parameters of a model representing chaotic and hyperchaotic systems using information from a scalar measured output is solved. The variational calculus based method is robust in the presence of…

Chaotic Dynamics · Physics 2015-06-26 Rahul Konnur

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

The realization of novel scenario involving transitions between different types of chaotic attractors is investigated for the Rossler system. Characteristic features indicative of the presence of generalized intermittency scenario in this…

Chaotic Dynamics · Physics 2025-11-06 O. O. Horchakov , A. Yu. Shvets