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We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The criteria can also be used to design couplings…

chao-dyn · 物理学 2009-10-30 Reggie Brown , Nikolai F. Rulkov

We study the asymptotic behaviour of a random walk whose evolution is dependent on the state of an itself dynamically evolving environment. In particular, we extend our previous results in [Bethuelsen and V\"ollering, 2016] and prove a…

概率论 · 数学 2024-11-21 Stein Andreas Bethuelsen , Florian Völlering

We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in particular on phases protected by symmetries with linear…

强关联电子 · 物理学 2023-09-20 Jung Hoon Han , Ethan Lake , Ho Tat Lam , Ruben Verresen , Yizhi You

We consider an atomistic model defined through an interaction field satisfying a variational principle, and can therefore be considered a toy model of (orbital free) density functional theory. We investigate atomistic-to-continuum coupling…

数值分析 · 数学 2011-12-06 B. Langwallner , C. Ortner , E. Süli

We develop energy efficient, continuous microwave schemes to couple electron and nuclear spins, using phase or amplitude modulation to bridge their frequency difference. These controls have promising applications in biological systems,…

量子物理 · 物理学 2019-01-14 J. Casanova , E. Torrontegui , M. B. Plenio , J. J. García-Ripoll , E. Solano

This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

混沌动力学 · 物理学 2017-02-13 Leandro M. Alonso

When a group of heterogeneous node dynamics are diffusively coupled with a high coupling gain, the group exhibits a collective emergent behavior which is governed by a simple algebraic average of the node dynamics called the blended…

系统与控制 · 电气工程与系统科学 2023-12-01 Jin Gyu Lee , Thomas Berger , Stephan Trenn , Hyungbo Shim

This work explores a collaborative method for ensuring safety in multi-agent formation control problems. We formulate a control barrier function (CBF) based safety filter control law for a generic distributed formation controller and extend…

机器人学 · 计算机科学 2024-10-08 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

The behaviour of many real-world phenomena can be modelled by nonlinear dynamical systems whereby a latent system state is observed through a filter. We are interested in interacting subsystems of this form, which we model by a set of…

机器学习 · 计算机科学 2017-02-20 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

Based on the recently found non-trivial topology of buckled antimonene, we propose the conceptual design of a quantized switch that is protected by topology and a mechanism to create configurable 1D wire channels. We show that the…

材料科学 · 物理学 2021-01-04 Santosh Kumar Radha , Walter R. L. Lambrecht

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

混沌动力学 · 物理学 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

We introduce a new application of measuring symplectic generators to characterize and control the linear betatron coupling in storage rings. From synchronized and consecutive BPM (Beam Position Monitor) turn-by-turn (TbT) readings,…

加速器物理 · 物理学 2017-06-20 Yongjun Li , Lingyun Yang , Weixing Cheng

Many networks of physical and biological interest are characterized by a long-range coupling mediated by a chemical which diffuses through a medium in which oscillators are embedded. We considered a one-dimensional model for this effect for…

This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of…

最优化与控制 · 数学 2016-06-13 Sergio Pequito , George J. Pappas

This article addresses the moving target enclosing control problem for nonholonomic multi-agent systems with guaranteed network connectivity and collision avoidance. We propose a novel control scheme to handle distance constraints imposed…

系统与控制 · 电气工程与系统科学 2025-09-04 Boyin Zheng , Yahui Hao , Lu Liu

A decentralized feedback controller for multi-agent systems, inspired by vehicle platooning, is proposed. The closed loop resulting from the decentralized control action has three distinctive features: the generation of collision-free…

最优化与控制 · 数学 2025-04-01 Young-Pil Choi , Dante Kalise , Andrés A. Peters

Understanding design principles of molecular interaction networks is an important goal of molecular systems biology. Some insights have been gained into features of their network topology through the discovery of graph theoretic patterns…

分子网络 · 定量生物学 2013-01-18 David Murrugarra , Reinhard Laubenbacher

We study a family of binary state, socially-inspired contagion models which incorporate imitation limited by an aversion to complete conformity. We uncover rich behavior in our models whether operating with either probabilistic or…

混沌动力学 · 物理学 2013-03-08 Peter Sheridan Dodds , Kameron Decker Harris , Christopher M. Danforth

We investigate how dynamical decoupling methods may be used to manipulate the time evolution of quantum many-body systems. These methods consist of sequences of external control operations designed to induce a desired dynamics. The systems…

量子物理 · 物理学 2015-05-18 Julie Dinerman , Lea F. Santos

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

系统与控制 · 电气工程与系统科学 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu