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We analyze the time resolved spike statistics of a solitary and two mutually interacting chaotic semiconductor lasers whose chaos is characterized by apparently random, short intensity spikes. Repulsion between two successive spikes is…

The human visual system contains a hierarchical sequence of modules that take part in visual perception at superordinate, basic, and subordinate categorization levels. During the last decades, various computational models have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Fatemeh Sharifizadeh , Mohammad Ganjtabesh , Abbas Nowzari-Dalini

Group synchronization is the problem of determining reliable global estimates from noisy local measurements on networks. The typical task for group synchronization is to assign elements of a group to the nodes of a graph in a way that…

Machine Learning · Statistics 2025-06-06 Adriana L. Duncan , Joe Kileel

We introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed. We found two collective transitions:…

Optics · Physics 2009-11-10 Alessandro Scire , Pere Colet , Maxi San Miguel

Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronous solution, the fundamental question of the transient…

Adaptation and Self-Organizing Systems · Physics 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

We aim to increase the ability of a of coupled phase oscillators to maintain the synchronization when the system is affected by stochastic disturbances. We model the disturbances by Gaussian noise and use the mean first hitting time when…

Adaptation and Self-Organizing Systems · Physics 2023-04-26 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

We study the problem of estimating frequency response functions of systems of coupled, classical harmonic oscillators using a quantum computer. The functional form of these response functions can be mapped to a corresponding eigenproblem of…

Quantum Physics · Physics 2025-11-14 Sven Danz , Mario Berta , Stefan Schröder , Pascal Kienast , Frank K. Wilhelm , Alessandro Ciani

Synchronization resulting in unified collective behavior of the individual elements of a system that are weakly coupled to each other has long fascinated scientists. Examples range from the periodic oscillation of coupled pendulum clocks to…

In the present paper, we report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in oscillatory neural networks. Based on…

Neural and Evolutionary Computing · Computer Science 2020-01-08 Andrei Velichko , Maksim Belyaev , Vadim Putrolaynen , Alexander Pergament , Valentin Perminov

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

In this work we study the effect of oscillator phase noise on the uplink performance of a massive multiple-input multiple output system. Specifically, we consider an orthogonal frequency division multiplexing-based uplink transmission and…

Information Theory · Computer Science 2014-05-06 Rajet Krishnan , M. Reza Khanzadi , N. Krishnan , A. Graell i Amat , T. Eriksson , N. Mazzali , G. Colavolpe

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

A system of globally coupled phase oscillators subject to an external input is considered as a simple model of neural circuits coding external stimulus. The information coding efficiency of the system in its asynchronous state is quantified…

Disordered Systems and Neural Networks · Physics 2008-06-23 Hiroya Nakao

We study associative memory based on temporal coding in which successful retrieval is realized as an entrainment in a network of simple phase oscillators with distributed natural frequencies under the influence of white noise. The memory…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masahiko Yoshioka , Masatoshi Shiino

We propose a system of two coupled spin-torque nano-oscillators (STNOs), one driver and another response, and demonstrate {using numerical studies} the synchronization of the response system to the frequency of the driver system. To this…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 C. Sanid , S. Murugesh

Neural coupled oscillators are a useful building block in numerous models and applications. They were analyzed extensively in theoretical studies and more recently, in biologically realistic simulations of spiking neural networks. The…

Emerging Technologies · Computer Science 2021-09-16 Renate Krause , Joanne J. A. van Bavel , Chenxi Wu , Marc A. Vos , Alain Nogaret , Giacomo Indiveri

The phase reduction technique is essential for studying rhythmic phenomena across various scientific fields. It allows the complex dynamics of high-dimensional oscillatory systems to be expressed by a single phase variable. This paper…

Dynamical Systems · Mathematics 2026-01-01 Zeray Hagos Gebrezabher

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

The results of numerical modeling of oscillations in a system of two coupled oscillators operatingon the basis of a virtual cathode with controlled external feedback are presented. It is shown that thereexist the modes with generation of…

Plasma Physics · Physics 2007-05-23 Alexander Hramov

Synchronised laser oscillators are essential for probing the fastest processes in chemistry, materials science, and biology down to atto-second timescales. Tight synchronisation is also crucial at scientific facilities such as free-electron…