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In this article we study synchronization of systems of homogeneous phase-coupled oscillators with plastic coupling strengths and arbitrary underlying topology. The dynamics of the coupling strength between two oscillators is governed by the…

动力系统 · 数学 2016-02-24 Andrey Gushchin , Enrique Mallada , Ao Tang

While hydrodynamic coupling has long been considered essential for synchronisation of eukaryotic flagella, recent experiments on the unicellular biflagellate model organism {\it Chlamydomonas} demonstrate that -- at the single cell level --…

生物物理 · 物理学 2025-04-04 Luc Zorrilla , Antoine Allard , Krish Desai , Marco Polin

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

We study the synchronization of coupled maps on a variety of networks including regular one and two dimensional networks, scale free networks, small world networks, tree networks, and random networks. For small coupling strengths nodes show…

混沌动力学 · 物理学 2009-11-10 Sarika Jalan , R. E. Amritkar

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

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

适应与自组织系统 · 物理学 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

混沌动力学 · 物理学 2014-04-15 Yuanzhao Zhang

A pair of coupled erbium doped fiber ring lasers is used to explore the dynamics of coupled spatiotemporal systems. The lasers are mutually coupled with a coupling delay less than the cavity round-trip time. We study synchronization between…

混沌动力学 · 物理学 2009-11-11 L. B. Shaw , I. B. Schwartz , E. A. Rogers , R. Roy

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interaction that…

凝聚态物理 · 物理学 2009-10-28 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera , Alex Arenas

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

动力系统 · 数学 2023-03-31 Paolo Bartesaghi

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

无序系统与神经网络 · 物理学 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We…

混沌动力学 · 物理学 2016-10-05 Wenchen Han , Mei Zhang , Junzhong Yang

We derive a concise and general expression of the energy dissipation rate for coupled oscillators rotating on circular trajectories by unifying the nonequilibrium aspects with the nonlinear dynamics via stochastic thermodynamics. In the…

适应与自组织系统 · 物理学 2016-12-06 Yuki Izumida , Hiroshi Kori , Udo Seifert

Biological microfilaments exhibit a variety of synchronization modes. Recent experiments observed that a pair of isolated eukaryotic flagella, coupled solely via the fluid medium, display synchrony at nontrivial phase-lags in addition to…

生物物理 · 物理学 2020-10-28 Yi Man , Eva Kanso

Adaptive coupling, where the coupling is dynamical and depends on the behaviour of the oscillators in a complex system, is one of the most crucial factors to control the dynamics and streamline various processes in complex networks. In this…

适应与自组织系统 · 物理学 2014-06-17 V. K. Chandrasekar , Jane H. Sheeba , B. Subash , M. Lakshmanan , J. Kurths

The collective behaviour of confluent cell sheets is strongly influenced both by polar forces, arising through cytoskeletal propulsion and by active inter-cellular forces, which are mediated by interactions across cell-cell junctions. We…

软凝聚态物质 · 物理学 2020-05-28 Guanming Zhang , Romain Mueller , Amin Doostmohammadi , Julia M. Yeomans

Cilia and flagella are essential building blocks for biological fluid transport and locomotion at the micron scale. They often beat in synchrony and may transition between different synchronization modes in the same cell type. Here, we…

流体动力学 · 物理学 2018-02-14 Hanliang Guo , Lisa Fauci , Michael Shelley , Eva Kanso

This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as "compartments'' in this paper) are made up of an identical interconnection of subsystems, each represented as an…

最优化与控制 · 数学 2009-03-12 L. Scardovi , M. Arcak , E. D. Sontag

We consider a photonic lattice of nonlinear lossy resonators subjected to a coherent drive, where the system remembers its topological phase. Initially, the system is topologically trivial. After the application of an additional coherent…

光学 · 物理学 2023-01-10 Subhaskar Mandal , Gui-Geng Liu , Baile Zhang

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo