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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

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

The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase…

适应与自组织系统 · 物理学 2007-06-13 H. Nakao , K. Arai , K. Nagai , Y. Tsubo , Y. Kuramoto

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

The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system…

混沌动力学 · 物理学 2013-07-23 Tanmoy Banerjee , Debabrata Biswas

We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters which measure synchronization of phases and frequencies are introduced and analyzed by means of dynamic simulations…

无序系统与神经网络 · 物理学 2009-11-07 H. Hong , M. Y. Choi , Beom Jun Kim

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…

混沌动力学 · 物理学 2015-05-28 S. K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

For a system of globally pulse-coupled phase-oscillators, we derive conditions for stability of the completely synchronous state and all possible two-cluster states and explain how the different states are naturally connected via…

适应与自组织系统 · 物理学 2015-05-27 Leonhard Lücken , Serhiy Yanchuk

A rationale is provided for the emergence of synchronization in a system of coupled oscillators in a stick-slip motion. The single oscillator has a limit cycle in a region of the state space for each parameter set beyond the supercritical…

适应与自组织系统 · 物理学 2015-11-17 Nozomi Sugiura , Takane Hori , Yoji Kawamura

Sufficient conditions for synchronization of coupled Lienard-type oscillators are investigated via averaging technique. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the…

动力系统 · 数学 2010-03-15 S. Emre Tuna

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

量子物理 · 物理学 2019-09-04 Loic Henriet

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

混沌动力学 · 物理学 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Maria K. Kurovskaya , S. Boccaletti

We experimentally study the synchronization of two chaotic electronic circuits whose dynamics is relayed by a third parameter-matched circuit, to which they are coupled bidirectionally in a linear chain configuration. In a wide range of…

混沌动力学 · 物理学 2016-08-16 Iacyel Gomes Da Silva , Javier M. Buldú , Claudio R. Mirasso , Jordi García-Ojalvo

Clock synchronization is a widely discussed topic in the engineering literature. Ensuring that individual clocks are closely aligned is important in network systems, since the correct timing of various events in a network is usually…

系统与控制 · 计算机科学 2017-04-25 Timothy Anglea , Yongqiang Wang

A large variety of rhythms are observed in nature. Rhythms such as electroencephalogram signals in the brain can often be regarded as interacting. In this study, we investigate the dynamical properties of rhythmic systems in two populations…

混沌动力学 · 物理学 2016-07-20 Yu Terada , Toshio Aoyagi

By spreading phases on the unit circle, desynchronization algorithm is a powerful tool to achieve round-robin scheduling, which is crucial in applications as diverse as media access control of communication networks, realization of…

系统与控制 · 计算机科学 2016-03-11 Huan Gao , Yongqiang Wang

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance…

统计力学 · 物理学 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

In networks of identical linear oscillators (e.g. pendulums undergoing small vibrations) coupled through both dissipative connectors (e.g. dampers) and restorative connectors (e.g. springs) the relation between asymptotic synchronization…

动力系统 · 数学 2019-12-30 S. Emre Tuna

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