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Crowd synchrony and quorum sensing arise when a large number of dynamical elements communicate with each other via a common information pool. Previous evidence in different fields, including chemistry, biology and civil engineering, has…

光学 · 物理学 2015-05-20 Jordi Zamora-Munt , C. Masoller , Jordi Garcia-Ojalvo , Rajarshi Roy

Crowd synchrony, which corresponds to the synchronization of different and independent oscillators that interact with each other via a common intermediate, is ubiquitous in many fields. Here, we experimentally demonstrate the effect of…

光学 · 物理学 2020-11-18 Simon Mahler , Asher A. Friesem , Nir Davidson

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

混沌动力学 · 物理学 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

适应与自组织系统 · 物理学 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

The notion of phase synchronization in time-delay systems, exhibiting highly non-phase-coherent attractors, has not been realized yet even though it has been well studied in chaotic dynamical systems without delay. We report the…

混沌动力学 · 物理学 2009-11-13 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and sociology. In general, the published works on network…

光学 · 物理学 2013-05-30 Micha Nixon , Moti Fridman , Eitan Ronen , Asher A. Friesem , Nir Davidson , Ido Kanter

Phase transitions constitute fundamental mechanisms underlying abrupt or qualitative changes in the collective dynamics of interacting units across a wide range of natural and engineered systems. In dynamical networks, such transitions lead…

适应与自组织系统 · 物理学 2026-04-07 R. Anand , Jan Fialkowski , V. K. Chandrasekar , R. Suresh

We consider an ensemble of globally coupled phase oscillators whose interaction is transmitted at finite speed. This introduces time delays, which make the spatial coordinates relevant in spite of the infinite range of the interaction. We…

统计力学 · 物理学 2007-05-23 Damian H. Zanette

Network couplings of oscillatory large-scale systems, such as the brain, have a space-time structure composed of connection strengths and signal transmission delays. We provide a theoretical framework, which allows treating the spatial…

We study a model for two lasers that are mutually coupled opto-electronically by modulating the pump of one laser with the intensity deviations from the steady-state output of the other. Such a model is analogous to the equations describing…

混沌动力学 · 物理学 2024-10-30 E. M. Shahverdiev , P. A. Bayramov , K. A. Shore

Synchronization by exchange of pulses is a widespread phenomenon, observed in flashing fireflies, applauding audiences and the neuronal network of the brain. Hitherto the focus has been on integrate-and-fire oscillators. Here we consider…

数学物理 · 物理学 2012-12-13 Gunnar Pruessner , Seng Cheang , Henrik Jeldtoft Jensen

Synchronization in a lattice of a finite population of phase oscillators with algebraically decaying, non-normalized coupling is studied by numerical simulations. A critical level of decay is found, below which full locking takes place if…

统计力学 · 物理学 2009-11-07 M. Maródi , F. d'Ovidio , T. Vicsek

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Shifted zero-lag synchronization is observed for two lasers separated by long…

混沌动力学 · 物理学 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

The synchronization of chaotic lasers and the optical phase synchronization of light originating in multiple coupled lasers have both been extensively studied, however, the interplay between these two phenomena, especially at the network…

We show that simultaneous synchronization between two delay-coupled oscillators can be achieved by relaying the dynamics via a third mediating element, which surprisingly lags behind the synchronized outer elements. The zero-lag…

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 consider small network models for mutually delay-coupled systems which typically do not exhibit stable isochronally synchronized solutions. We show that for certain coupling architectures which involve delayed self feedback to the nodes,…

混沌动力学 · 物理学 2015-06-26 Ira B. Schwartz , Leah B. Shaw

Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a…

适应与自组织系统 · 物理学 2013-11-28 V. H. P. Louzada , N. A. M. Araújo , J. S. Andrade , H. J. Herrmann

We derive rigorous conditions for the synchronization of all-optically coupled lasers. In particular, we elucidate the role of the optical coupling phases for synchronizability by systematically discussing all possible network motifs…

混沌动力学 · 物理学 2012-03-30 Valentin Flunkert , Eckehard Schöll

In principle, while coupled limit cycle oscillators can overcome mismatch in intrinsic rates and match their frequencies, but zero phase lag synchronization is just achievable in the limit of zero mismatch, i.e., with identical oscillators.…

神经元与认知 · 定量生物学 2013-02-12 Sadjad Sadeghi , Alireza Valizadeh
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