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Related papers: Noise Effects on Synchronized Globally Coupled Osc…

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We investigate a system of harmonically coupled identical nonlinear constituents subject to noise in different spatial arrangements. For global coupling we find for infinitely many constituents the coexistence of several ergodic components…

adap-org · Physics 2009-10-30 R. Muller , K. Lippert , A. Kuhnel , U. Behn

Recent studies show indication of the effectiveness of synchronization as a data assimilation tool for small or meso-scale forecast when less number of variables are observed frequently. Our main aim here is to understand the effects of…

Chaotic Dynamics · Physics 2015-03-19 Md. Nurujjaman , Sumanth Shivamurthy , Amit Apte , Tanu Singla , P. Parmananda

Motivated by recent experiments with Josephson-junction circuits, we analyze the influence of various noise sources on the dynamics of two-level systems at optimal operation points where the linear coupling to low-frequency fluctuations is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Alexander Shnirman

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

The entrainment between weakly-coupled nonlinear oscillators, as well as between complex signals such as those representing physiological activity, is frequently assessed in terms of whether a stable relationship is detectable between the…

Neurons and Cognition · Quantitative Biology 2019-02-27 Ludovico Minati , Natsue Yoshimura , Mattia Frasca , Stanislaw Drozdz , Yasuharu Koike

Many systems of physical and biological interest are characterized by assemblies of phase oscillators whose interaction is mediated by a diffusing chemical. The coupling effect results from the fact that the local concentration of the…

Adaptation and Self-Organizing Systems · Physics 2023-06-21 Pedro Haerter , Ricardo L. Viana

We analyze the stochastic response of a finite set of globally coupled noisy bistable units driven by rather weak time-periodic forces. We focus on the stochastic resonance and phase frequency synchronization of the collective variable,…

Statistical Mechanics · Physics 2009-11-13 Manuel Morillo , Jose Gomez-Ordonez Jose Manuel Casado

We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHugh-Nagumo systems with parameter values at which no…

Chaotic Dynamics · Physics 2009-11-11 B. Hauschildt , N. B. Janson , A. Balanov , E. Schoell

We investigate a critical exponent related to synchronization transition in globally coupled nonidentical phase oscillators. The critical exponents of susceptibility, correlation time, and correlation size are significant quantities to…

Statistical Mechanics · Physics 2019-12-06 Isao Nishikawa , Koji Iwayama , Gouhei Tanaka , Takehiko Horita , Kazuyuki Aihara

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

Systems and Control · Computer Science 2013-12-24 He Bai , S. Yusef Shafi

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

For self-sustained oscillators subject to noise the coherence, understood as a constancy of the instantaneous oscillation frequency, is one of the primary characteristics. The delayed feedback has been previously revealed to be an efficient…

Statistical Mechanics · Physics 2017-04-21 Anastasiya V. Pimenova , Denis S. Goldobin

In complex systems, the interplay between network structure and noise often leads to emergent phenomena. This study explores the effects of uneven coupling and asymmetric noise on the dynamics of feed-forward loop (FFL) motifs, essential…

Dynamical Systems · Mathematics 2023-10-05 Gurpreet Jagdev , Na Yu

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

Chaotic Dynamics · Physics 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

We report measurements on the synchronization properties of organ pipes. First, we investigate influence of an external acoustical signal from a loudspeaker on the sound of an organ pipe. Second, the mutual influence of two pipes with…

Classical Physics · Physics 2009-11-11 M. Abel , S. Bergweiler , R. Gerhard-Multhaupt

Synchronization phenomena are pervasive in biology. In neuronal networks, the mechanisms of synchronization have been extensively studied from both physiological and computational viewpoints. The functional role of synchronization has also…

Neurons and Cognition · Quantitative Biology 2009-06-18 Nicolas Tabareau , Jean-Jacques Slotine , Quang-Cuong Pham

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Nishant Malik , B. Ashok , J. Balakrishnan

The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into…

Statistical Mechanics · Physics 2007-05-23 Yoshiki Kuramoto , Dorjsuren Battogtokh

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

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…

Chaotic Dynamics · Physics 2013-07-23 Tanmoy Banerjee , Debabrata Biswas