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We study the propagation of a harmonic perturbation of small amplitude on a network of coupled identical phase oscillators prepared in a state of full synchronization. The perturbation is externally applied to a single oscillator, and is…

统计力学 · 物理学 2009-11-10 Damian H. Zanette

We introduce a distributed control architecture for a class of heterogeneous, nonlinear dynamical agents moving in the "string" formation, while guaranteeing trajectory tracking, collision avoidance and the preservation of the formation's…

系统与控制 · 计算机科学 2018-06-19 Serban Sabau , Irinel-Constantin Morarescu , Lucian Busoniu , Ali Jadbabaie

Oscillations between swing modes of electric machines is an important limitation in achieving a high level of transient performance and reliability in power grids. Based on the new advances in measurement and transmission of wide-area…

系统与控制 · 计算机科学 2015-04-09 Babak Tavassoli

This work investigates the spatio-temporal evolution of coherentstructures in the wake of a high-speed train. SPOD is used to extract energy spectra and empirical modes for both symmetric and antisymmetric components of the fluctuating flow…

We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability. Information is transmitted through the…

统计力学 · 物理学 2007-05-23 Thimo Rohlf , Stefan Bornholdt

Based on a multi-agent model, we investigate how target waves emerge from a population dynamics with cyclical interactions among three species. We show that the periodically injecting source in a small central area can generate target waves…

生物物理 · 物理学 2008-07-29 Luo-Luo Jiang , Tao Zhou , Xin Huang , Bing-Hong Wang

A stochastic model of excitatory and inhibitory interactions which bears universality traits is introduced and studied. The endogenous component of noise, stemming from finite size corrections, drives robust inter-nodes correlations, that…

无序系统与神经网络 · 物理学 2017-08-16 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Discrete-time regulatory networks are dynamical systems on directed graphs, with a structure inspired on natural systems of interacting units. There is a natural notion of determination amongst vertices, which we use to classify the nodes…

适应与自组织系统 · 物理学 2009-11-13 Beatriz Luna , Edgardo Ugalde

Optomechanical systems are known to exhibit a rich set of complex dynamical features including various types of chaotic behavior and multi-stability. Although this exotic behavior has attracted an intense research interest, the utilization…

混沌动力学 · 物理学 2021-05-19 S. Christou , V. Kovanis , A. E. Giannakopoulos , Y. Kominis

We leverage data-driven model discovery methods to determine the governing equations for the emergent behavior of heterogeneous networked dynamical systems. Specifically, we consider networks of coupled nonlinear oscillators whose…

动力系统 · 数学 2022-05-24 Katherine Owens , J. Nathan Kutz

In this work, we investigate a model of an adaptive networked dynamical system, where the coupling strengths among phase oscillators coevolve with the phase states. It is shown that in this model the oscillators can spontaneously…

无序系统与神经网络 · 物理学 2010-11-02 Menghui Li , Shuguang Guan , C. -H. Lai

We consider a general class of stochastic networks and ask which network nodes need to be controlled, and how, to stabilize and switch between desired metastable (target) states in terms of the first and second statistical moments of the…

适应与自组织系统 · 物理学 2016-07-20 Dmytro Bielievtsov , Josef Ladenbauer , Klaus Obermayer

Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated to various brain disorders such as…

动力系统 · 数学 2023-06-16 David Reyner-Parra , Carles Bonet , Teresa M. Seara , Gemma Huguet

Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve…

物理与社会 · 物理学 2019-03-13 Edward Laurence , Nicolas Doyon , Louis J Dubé , Patrick Desrosiers

This study investigates perturbation strategies inspired by adversarial attack principles from deep learning, designed to control synchronization dynamics through strategically crafted weak perturbations. We propose a gradient-based…

适应与自组织系统 · 物理学 2025-10-07 Yasutoshi Nagahama , Kosuke Miyazato , Kazuhiro Takemoto

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

Hasegawa-Wakatani system, commonly used as a toy model of dissipative drift waves in fusion devices is revisited with considerations of phase and amplitude dynamics of its triadic interactions. It is observed that a single resonant triad…

混沌动力学 · 物理学 2024-06-19 Ö. D. Gürcan , J. Anderson , S. Moradi , A. Biancalani , P. Morel

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

无序系统与神经网络 · 物理学 2015-06-04 Kristina Lerman , Rumi Ghosh

Through detailed experimental studies of the angular dependence of spin wave excitations in nanocontact-based spin-torque oscillators, we demonstrate that two distinct spin wave modes can be excited, with different frequency, threshold…

Biological neural networks can operate in qualitatively distinct dynamical regimes, and transitions between these regimes are thought to underlie changes in computation and behavior. The seminal work of Sompolinsky, Crisanti, and Sommers…

无序系统与神经网络 · 物理学 2026-05-15 Carles Martorell , Rubén Calvo , Alessia Annibale , Miguel A. Muñoz