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A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

混沌动力学 · 物理学 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

Virtual synchrony is an important abstraction that is proven to be extremely useful when implemented over asynchronous, typically large, message-passing distributed systems. Fault tolerant design is a key criterion for the success of such…

分布式、并行与集群计算 · 计算机科学 2018-04-26 Shlomi Dolev , Chryssis Georgiou , Ioannis Marcoullis , Elad Michael Schiller

The synchronization of coupled oscillators is a fascinating manifestation of self-organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. Although it was long thought that synchrony or…

适应与自组织系统 · 物理学 2013-07-29 Erik Andreas Martens , Shashi Thutupalli , Antoine Fourrière , Oskar Hallatschek

A flexible scheme for decomposing the vibrational density of states in terms of pair vibrational density of states is presented. This scheme provides the linkage between the site vibrational density of states and pair vibrational density of…

原子与分子团簇 · 物理学 2009-11-10 Lei Liu , C. S. Jayanthi , Shi-Yu Wu

To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational arguments, that the combination of noise with synchronization…

神经元与认知 · 定量生物学 2013-12-06 Jake Bouvrie , Jean-Jacques Slotine

We have developed a simple cellular automata model for nonlinearly coupled phase oscillators which can exhibit many important collective dynamical states found in other synchronizing systems. The state of our system is specified by a set of…

适应与自组织系统 · 物理学 2017-06-29 Amitava Banerjee , Muktish Acharyya

Synchronization plays a fundamental role in healthy cognitive and motor function. However, how synchronization depends on the interplay between local dynamics, coupling and topology and how prone to synchronization a network with given…

神经元与认知 · 定量生物学 2018-06-06 David Papo , Javier M. Buldú

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

新兴技术 · 计算机科学 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

We study the stability and information encoding capacity of synchronized states in a neuronal network model that represents part of thalamic circuitry. Our model neurons have a Hodgkin-Huxley-type low threshold Calcium channel, display post…

统计力学 · 物理学 2007-05-23 P. H. E. Tiesinga , Jorge V. José

We consider a general model for a network of oscillators with time delayed, circulant coupling. We use the theory of weakly coupled oscillators to reduce the system of delay differential equations to a phase model where the time delay…

动力系统 · 数学 2016-07-21 Sue Ann Campbell , Zhen Wang

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

适应与自组织系统 · 物理学 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

Brain activity following stimulus presentation and during resting state are often the result of highly coordinated responses of large numbers of neurons both locally and globally. Coordinated activity of neurons can give rise to…

应用统计 · 统计学 2015-07-20 Carolina Euan , Hernando Ombao , Joaquin Ortega

The phenomenon of synchronization, where entities exhibit stable oscillations with aligned frequencies and phases, has been detected in diverse areas of natural science. It plays a crucial role in achieving frequency locking in multiple…

量子物理 · 物理学 2025-06-24 Tong Liu , Laura García-Álvarez , Giovanna Tancredi

From rhythmic physiological processes to the collective behaviors of technological and natural networks, coherent phases of interacting oscillators are the foundation of the events' coordination leading a system to behave cooperatively. We…

混沌动力学 · 物理学 2016-11-15 H. Bi , X. Hu , S. Boccaletti , X. Wang , Y. Zou , Z. Liu , S. Guan

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

量子物理 · 物理学 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro

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 two important roles of miRNA as stress inducer and synchronizing agent in regulating diffusively coupled genetic oscillators within stochastic formalism and competition between them. We identify optimal value of coupling constant…

分子网络 · 定量生物学 2014-09-09 Saurabh Kumar Sharma , Shakti Nath Singh , Md. Jahoor Alam , R. K. Brojen Singh

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 present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

系统与控制 · 电气工程与系统科学 2023-05-09 Weiming Che , Fulvio Forni

We show that short-range correlations have a dramatic impact on the steady-state phase diagram of quantum driven-dissipative systems. This effect, never observed in equilibrium, follows from the fact that ordering in the steady state is of…