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We present an analytical scheme to achieve optimal synchronization in multiplex networks of frustrated and non-frustrated phase oscillators. We derive a multiplex synchrony alignment function (MSAF) for that purpose, the expression of which…

适应与自组织系统 · 物理学 2020-04-22 Prosenjit Kundu , Pitambar Khanra , Chittaranjan Hens , Pinaki Pal

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

动力系统 · 数学 2025-09-29 S Coombes , H G E Meijer

Robots capable of learning from demonstration (LfD) must exhibit stability while executing learned motion skills. To be effective in the real world, they should also remember multiple skills over time -- a capability lacking in current…

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

适应与自组织系统 · 物理学 2022-05-11 Sergei A. Plotnikov

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear…

系统与控制 · 计算机科学 2017-03-02 Masashi Wakaiki , Kunihisa Okano , Joao P. Hespanha

The problem of synchronization in networks of neural mass model populations with discrete couplings is considered. The considered network is hybrid one, therefore Mikheev approach is applied to transform it to the network with time-varying…

适应与自组织系统 · 物理学 2023-05-04 Sergei Plotnikov

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…

系统与控制 · 计算机科学 2013-12-24 He Bai , S. Yusef Shafi

The common spatial pattern analysis (CSP) is a widely used signal processing technique in brain-computer interface (BCI) systems to increase the signal-to-noise ratio in electroencephalogram (EEG) recordings. Despite its popularity, the…

数值分析 · 数学 2023-11-23 Dong Min Roh , Zhaojun Bai

In this paper, we characterize the set of static-state feedbacks that stabilize a given continuous linear-time invariant system pair using dissipative Hamiltonian matrices. This characterization results in a parametrization of feedbacks in…

最优化与控制 · 数学 2019-07-17 Nicolas Gillis , Punit Sharma

The mean square stabilization problem for discrete-time networked control systems (NCSs) is investigated in this article. What the difference from most previous works is that input delay and packet losses occur simultaneously in the…

最优化与控制 · 数学 2018-08-22 Hongdan Li , Chunyan Han , Huanshui Zhang

We investigate the spatiotemporal dynamics of a network of coupled chaotic maps, with varying degrees of randomness in coupling connections. While strictly nearest neighbour coupling never allows spatiotemporal synchronization in our…

混沌动力学 · 物理学 2007-05-23 Sudeshna Sinha

In deep learning (DL) the instability phenomenon is widespread and well documented, most commonly using the classical measure of stability, the Lipschitz constant. While a small Lipchitz constant is traditionally viewed as guarantying…

机器学习 · 计算机科学 2024-01-17 Z. N. D. Liu , A. C. Hansen

This paper studies the finite-time stability and stabilization of linear discrete time-varying stochastic systems with multiplicative noise. Firstly, necessary and sufficient conditions for finite-time stability are presented via state…

最优化与控制 · 数学 2018-06-25 Tianliang Zhang , Feiqi Deng , Weihai Zhang

Pulsed microwave stability in linear accelerators (LINACs) is critical for maintaining high-quality electron beams in synchrotron radiation and free-electron laser (FEL) facilities. This study establishes and validates a zero-crossing…

加速器物理 · 物理学 2025-04-09 Jinfu Zhu , Hongli Ding , Haokui Li , Qiaoye Ran , Jiayue Yang , Weiqing Zhang

The traditional phase sensitivity function (PSF) has manifested its efficacy in investigating synchronization behaviors for limit-cycle oscillators. However, some subtle details may be ignored when the phase value is accumulated in space or…

适应与自组织系统 · 物理学 2021-04-12 Jinjie Zhu

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…

适应与自组织系统 · 物理学 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been involved in large power outages. Here we…

物理与社会 · 物理学 2018-12-24 Adilson E. Motter , Seth A. Myers , Marian Anghel , Takashi Nishikawa

This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations,…

最优化与控制 · 数学 2024-04-22 Tian Xia , Luca Scardovi

We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to…

斑图形成与孤子 · 物理学 2015-04-22 Zachary P. Kilpatrick

Asymptotic synchronization is one of the essential differences between artificial neural networks and biologically inspired neural networks due to mismatches from dynamical update of weight parameters and heterogeneous activations. In this…

偏微分方程分析 · 数学 2025-07-01 Yuncheng You