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Complementarity is one of the main features underlying the interactions in biological and biochemical systems. Inspired by those systems we propose a model for the dynamical evolution of a system composed by agents that interact due to…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Copelli , R. M. Zorzenon dos Santos , J. S. Sa Martins

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

Populations and Evolution · Quantitative Biology 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

Diverse collective dynamics emerge in dynamical systems interacting on top of complex network architectures. Along this line of research, temporal network has come out to be one of the most promising network platforms to investigate.…

Chaotic Dynamics · Physics 2020-08-18 Sayantan Nag Chowdhury , Soumen Majhi , Dibakar Ghosh

This work introduces a new theoretical model for active matter ("complementary-spins" or c-spins), exploring the interplay of positional and orientational order in mobile agents with rotational freedom, divided into two populations with…

Soft Condensed Matter · Physics 2025-11-20 Alessandro Scirè

Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several circumstances, in particular in cases of neurological…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Ghazal Montaseri , Mohammad Javad Yazdanpanah , Arkady Pikovsky , Michael Rosenblum

We study numerically synchronization phenomena of spatiotemporal structures, including chimera states, in a two layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each of the interacting ensembles represents a one…

Adaptation and Self-Organizing Systems · Physics 2018-02-09 Andrei V. Bukh , Galina I. Strelkova , Vadim S. Anishchenko

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in…

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

Chaotic Dynamics · Physics 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for their different types of…

Chaotic Dynamics · Physics 2019-09-26 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

In this work we compare social clusters with spin clusters and compare different properties. We also try to compare phase changes in market and labor stratification with phase changes of spin clusters. Then we compare the requisites for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Fariel Shafee

We investigate the emergence of chimera and cluster states possessing asymmetric dynamics in globally coupled systems, where the trajectories of oscillators belonging to different subpopulations exhibit different dynamical properties. In an…

Chaotic Dynamics · Physics 2018-11-26 A. V. Cano , M. G. Cosenza

We characterize synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic Boolean networks as particular examples. In terms of multiplicative ergodic properties of the induced linear…

Dynamical Systems · Mathematics 2020-09-09 Wen Huang , Hong Qian , Shirou Wang , Felix X. -F. Ye , Yingfei Yi

The formation of coherent patterns in swarms of interacting self-propelled autonomous agents is a subject of great interest in a wide range of application areas, ranging from engineering and physics to biology. In this paper, we model and…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Klementyna Szwaykowska , Ira B. Schwartz , Luis Mier-y-Teran Romero , Christoffer R. Heckman , Dan Mox , M. Ani Hsieh

Two types of synchronization, Achronal Synchronization and Isochronous synchronization are investigated numerically when unidirectionally coupled laser systems are considered both on fast and slow dynamics by studying the correlation…

Chaotic Dynamics · Physics 2009-11-11 Liang Wu , Shiqun Zhu , Juan Li

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · Physics 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

Synchronization has received a lot of attention from the scientific community for systems evolving on static networks or higher-order structures, such as hypergraphs and simplicial complexes. In many relevant real world applications, the…

Statistical Mechanics · Physics 2023-07-11 Md Sayeed Anwar , Dibakar Ghosh , Timoteo Carletti

Swarm and modular robotics are an emerging area in control of autonomous systems. However, coordinating a large group of interacting autonomous agents requires careful consideration of the logistical issues involved. In particular,…

Pattern Formation and Solitons · Physics 2015-07-15 K. Szwaykowska , L. Mier-y-Teran-Romero , I. B. Schwartz

We investigate the dynamics of an array of logistic maps coupled with random delay times. We report that for adequate coupling strength the array is able to synchronize, in spite of the random delays. Specifically, we find that the…

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

We show that the synchronized states of two systems of identical chaotic maps subject to either, a common drive that acts with a probability p in time or to the same drive acting on a fraction p of the maps, are similar. The synchronization…

Chaotic Dynamics · Physics 2015-05-13 O. Alvarez-Llamoza , M. G. Cosenza
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