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We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

统计力学 · 物理学 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

We study a system of two-mode stochastic oscillators coupled through their collective output. As a function of a relevant parameter four qualitatively distinct regimes of collective behavior are observed. In an extended region of the…

统计力学 · 物理学 2009-11-07 A. Nikitin , Z. Neda , T. Vicsek

We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a…

无序系统与神经网络 · 物理学 2014-08-18 Bernard Sonnenschein , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths , Lutz Schimansky-Geier

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

混沌动力学 · 物理学 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

Dynamical systems can be analyzed as computational devices capable of performing information processing. In coupled oscillators, enlarged capabilities are expected when the set of units is formed by subsets with collective behaviour within…

适应与自组织系统 · 物理学 2025-06-24 Ernesto Estevez-Rams , K. Garcia-Medina , B. Aragon-Fernandez

Many biological and chemical systems could be modeled by a population of oscillators coupled indirectly via a dynamical environment. Essentially, the environment by which the individual elements communicate is heterogeneous. Nevertheless,…

混沌动力学 · 物理学 2017-05-24 Bing-Wei Li , Xiao-Zhi Cao , Chenbo Fu

The collective behavior of a coupled map lattice having {\it unbounded} chaotic local dynamics is investigated through the properties of its mean field. The presence of unstable periodic orbits in the local maps determines the emergence of…

chao-dyn · 物理学 2009-10-28 M. G. Cosenza

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

适应与自组织系统 · 物理学 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

Coupled non-linear oscillators are ubiquitous in dynamical studies. A wealth of behaviors have been found mostly for globally coupled systems. From a complexity perspective, less studied have been systems with local coupling, which is the…

适应与自组织系统 · 物理学 2023-10-20 D. Estevez-Moya , E. Estevez-Rams , H. Kantz

Coupled oscillators have been used to study synchronization in a wide range of social, biological, and physical systems, including pedestrian-induced bridge resonances, coordinated lighting up of firefly swarms, and enhanced output peak…

适应与自组织系统 · 物理学 2021-11-01 Can Xu , Xiaohuan Tang , Huaping Lü , Karin Alfaro-Bittner , Stefano Boccaletti , Matjaz Perc , Shuguang Guan

The condensation transition, leading to complete mutual synchronization in large populations of globally coupled chaotic Roessler oscillators, is investigated. Statistical properties of this transition and the cluster structure of partially…

adap-org · 物理学 2009-10-30 D. H. Zanette , A. S. Mikhailov

We consider an ensemble of coupled oscillators whose individual states, in addition to the phase, are characterized by an internal variable with autonomous evolution. The time scale of this evolution is different for each oscillator, so…

统计力学 · 物理学 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given…

混沌动力学 · 物理学 2009-11-11 O. Alvarez-Llamoza , K. Tucci , M. G. Cosenza , M. Pineda

A complex collective emerging behavior characterized by coexisting coherent and incoherent do- mains is termed as a chimera state. We bring out the existence of a new type of chimera in a nonlocally coupled ensemble of identical oscillators…

混沌动力学 · 物理学 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

混沌动力学 · 物理学 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

We study the emergent behaviors of a population of swarming coupled oscillators, dubbed 'swarmalators'. Previous work considered the simplest, idealized case: identical swarmalators with global coupling. Here we expand this work by adding…

适应与自组织系统 · 物理学 2023-03-22 Steven Ceron , Kevin O'Keeffe , Kirstin Petersen

We explore the behaviour of an ensemble of chaotic oscillators coupled only to an external chaotic system, whose intrinsic dynamics may be similar or dissimilar to the group. Counter-intuitively, we find that a dissimilar external system…

混沌动力学 · 物理学 2017-01-23 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two properties gives rise to a number of states unsupported by…

适应与自组织系统 · 物理学 2023-02-24 Per Sebastian Skardal , Sabina Adhikari , Juan G. Restrepo

We study the synchronization of coupled dynamical systems on a variety of networks. The dynamics is governed by a local nonlinear map or flow for each node of the network and couplings connecting different nodes via the links of the…

混沌动力学 · 物理学 2009-11-13 R. E. Amritkar , Sarika Jalan

We study chaotic behavior of order parameters in two coupled ensembles of self-sustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual interaction between these two subsystems is…

混沌动力学 · 物理学 2015-05-20 Sergey P. Kuznetsov , Arkady Pikovsky , Michael Rosenblum
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