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The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic…

Pattern Formation and Solitons · Physics 2009-11-13 E. Schoell , G. Hiller , P. Hoevel , M. A. Dahlem

We investigate the quantum synchronization dynamics of a moving qubit interacting with a dissipative cavity environment, using the Husimi $Q$-function to analyze its phase space evolution. Unlike conventional synchronization between…

Quantum Physics · Physics 2025-04-14 Amir Hossein Houshmand Almani , Alireza Nourmandipour , Ali Mortezapour

We investigate anticipated synchronization between two periodically driven deterministic, dissipative inertia ratchets that are able to exhibit directed transport with a finite velocity. The two ratchets interact through an unidirectional…

Soft Condensed Matter · Physics 2007-05-23 Marcin Kostur , Peter Hänggi , Peter Talkner , José L. Mateos

Synchronization is of great scientific interest due to the abundant applications in a wide range of systems. We propose a scheme to achieve the controllable long-distance synchronization of two dissimilar optomechanical systems, which are…

Optics · Physics 2016-06-29 Tan Li , Tian-Yi Bao , Yan-Lei Zhang , Chang-Ling Zou , Xu-Bo Zou , Guang-Can Guo

Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain…

Dynamical Systems · Mathematics 2015-05-04 S. Emre Tuna

Synchronization is one of the emerging collective phenomena in interacting particle systems. Its ubiquitous presence in nature, science, and technology has fascinated the scientific community over the decades. Moreover, a great deal of…

Adaptation and Self-Organizing Systems · Physics 2023-12-18 Suvam Pal , Gourab Kumar Sar , Dibakar Ghosh , Arnab Pal

We investigate the synchronization dynamics of two coupled noise-driven FitzHugh-Nagumo systems, representing two neural populations. For certain choices of the noise intensities and coupling strength, we find cooperative stochastic…

Adaptation and Self-Organizing Systems · Physics 2025-07-29 Philipp Hövel , Sarang A. Shah , Markus A. Dahlem , Eckehard Schöll

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…

Chaotic Dynamics · Physics 2009-11-13 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We consider networks of delay-coupled Stuart-Landau oscillators. In these systems, the coupling phase has been found to be a crucial control parameter. By proper choice of this parameter one can switch between different synchronous…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Anton Selivanov , Judith Lehnert , Thomas Dahms , Philipp Hövel , Alexander L. Fradkov , Eckehard Schöll

The phase and the frequency of an exciton polariton condensate excited by a nonresonant pump can be efficiently manipulated by an external coherent light. Being tuned close to the resonance with the condensate eigenfrequency, the external…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 I. Y. Chestnov , A. V. Kanokin , A. V. Yulin

We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays…

Statistical Mechanics · Physics 2011-01-12 D. Hunt , G. Korniss , B. K. Szymanski

We study the dynamics of networks with coupling delay, from which the connectivity changes over time. The synchronization properties are shown to depend on the interplay of three time scales: the internal time scale of the dynamics, the…

Statistical Mechanics · Physics 2018-12-26 Otti D'Huys , Javier Rodríguez-Laguna , Manuel Jiménez , Elka Korutcheva , Wolfgang Kinzel

We study phase synchronization for a ratchet system. We consider the deterministic dynamics of a particle in a tilted ratchet potential with an external periodic forcing, in the overdamped case. The ratchet potential has to be tilted in…

Other Condensed Matter · Physics 2009-11-11 Fernando R. Alatriste , José L. Mateos

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

Statistical Mechanics · Physics 2015-06-16 Wen Yu , Kevin B. Wood

This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

Phase, frequency, and time synchronization are crucial requirements for many applications, such as multi-static remote sensing and communication systems. Moreover, the synchronization solution becomes even more challenging when the nodes…

Signal Processing · Electrical Eng. & Systems 2020-11-23 Juan Merlano Duncan , Liz Martinez-Marrero , Jorge Querol , Sumit Kumar , Adriano Camps , Symeon Chatzinotas , Bjorn Ottersten

In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the…

Systems and Control · Computer Science 2016-04-13 Xiwei Liu , Zhang Chen , Lingjun Zhou

A method is proposed for detecting from univariate data the presence of synchronization of a self-sustained oscillator by external driving with varying frequency. The method is based on the analysis of difference between the oscillator…

Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By generalizing a previous study on the optimization of…

Adaptation and Self-Organizing Systems · Physics 2019-10-09 Nobuhiro Watanabe , Yuzuru Kato , Sho Shirasaka , Hiroya Nakao

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory…

Neurons and Cognition · Quantitative Biology 2018-01-01 Hwayeon Ryu , Sue Ann Campbell