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For an autonomous linear time-invariant (LTI) system, a distributed observer with time-triggered periodic observations and event-triggered communication is proposed to estimate the state of the system. It is shown that the sampling period…

系统与控制 · 电气工程与系统科学 2023-05-08 Shimin Wang , Zhan Shu , Tongwen Chen

Delays in biological systems may be used to model events for which the underlying dynamics cannot be precisely observed. Mathematical modeling of biological systems with delays is usually based on Delay Differential Equations (DDEs), a kind…

定量方法 · 定量生物学 2009-10-08 Roberto Barbuti , Giulio Caravagna , Paolo Milazzo , Andrea Maggiolo-Schettini

Symmetry breaking spatial patterns, referred to as chimera states, have recently been catapulted into the limelight due to their coexisting coherent and incoherent hybrid dynamics. Here, we present a method to engineer a chimera state by…

混沌动力学 · 物理学 2018-08-15 Saptarshi Ghosh , Sarika Jalan

In this paper we address the problem of adaptive state observation of affine-inthe-states time-varying systems with delayed measurements and unknown parameters. The development of the results proposed in the [Bobtsov et al. 2021a] and in…

最优化与控制 · 数学 2021-12-07 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Denis Efimov , Olga Kozachek

The emergence of nontrivial collective behavior in networks of coupled chaotic maps is investigated by means of a nonlinear mutual prediction method. The resulting prediction error is used to measure the amount of information that a local…

混沌动力学 · 物理学 2009-11-07 L. Cisneros , J. Jimenez , M. G. Cosenza , A. Parravano

We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fixed point, which, when subjected to a finite-amplitude…

混沌动力学 · 物理学 2015-05-13 Kristine E. Callan , Lucas Illing , Zheng Gao , Daniel J. Gauthier , Eckehard Schöll

Our brains are viewed as interconnected distributed systems. The connections between distant areas in the brain are significantly delayed. How to obtained now in such networks with delayed interconnections? We aim to show that delayed…

神经元与认知 · 定量生物学 2019-05-31 Julien Lagarde , Nicolas Bouisset

We discuss how to characterize the behavior of a chaotic dynamical system depending on a parameter that varies periodically in time. In particular, we study the predictability time, the correlations and the mean responses, by defining a…

chao-dyn · 物理学 2009-10-28 A Crisanti , M. Falcioni , G. Lacorata , R. Purini , A. Vulpiani

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

系统与控制 · 电气工程与系统科学 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

Time-triggered and event-triggered control strategies for stabilization of an unstable plant over a rate-limited communication channel subject to unknown, bounded delay are studied and compared. Event triggering carries implicit…

A coupled cell network is a model for many situations such as food webs in ecosystems, cellular metabolism, economical networks... It consists in a directed graph $G$, each node (or cell) representing an agent of the network and each…

动力系统 · 数学 2015-05-27 Romain Joly

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

物理与社会 · 物理学 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

We introduce a general methodology of update rules accounting for arbitrary interevent time distributions in simulations of interacting agents. In particular we consider update rules that depend on the state of the agent, so that the update…

物理与社会 · 物理学 2011-07-19 Juan Fernández-Gracia , V. M. Eguíluz , M. San Miguel

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

物理与社会 · 物理学 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Consider the problem of a multiple access channel in a time dependent environment with a large number of users. In such a system, mostly due to practical constraints (e.g., decoding complexity), not all users can be scheduled together, and…

信息论 · 计算机科学 2018-11-07 Ori Shmuel , Asaf Cohen , Omer Gurewitz

We consider an ensemble of globally coupled phase oscillators whose interaction is transmitted at finite speed. This introduces time delays, which make the spatial coordinates relevant in spite of the infinite range of the interaction. We…

统计力学 · 物理学 2007-05-23 Damian H. Zanette

In this paper we return to the problem of reduced-state dynamics in the presence of an interacting environment. The question we investigate is how to appropriately model a particular system evolution given some knowledge of the…

量子物理 · 物理学 2015-07-02 Eric Chitambar , Ali Abu-Nada , Russell Ceballos , Mark Byrd

Time-delay systems are, in many ways, a natural set of dynamical systems for natural scientists to study because they form an interface between abstract mathematics and data. However, they are complicated because past states must be…

混沌动力学 · 物理学 2007-10-16 D. J. Albers , Fatihcan M. Atay

Systems of interacting objects often evolve under the influence of field effects that govern their dynamics, yet previous works have abstracted away from such effects, and assume that systems evolve in a vacuum. In this work, we focus on…

机器学习 · 计算机科学 2024-03-21 Miltiadis Kofinas , Erik J. Bekkers , Naveen Shankar Nagaraja , Efstratios Gavves

Temporal networks are increasingly being used to model the interactions of complex systems. Most studies require the temporal aggregation of edges (or events) into discrete time steps to perform analysis. In this article we describe a…

社会与信息网络 · 计算机科学 2017-10-16 Andrew Mellor