Augmented dynamics of nonlinear systems: A review

IF 1.8 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

EPL Pub Date : 2023-11-10 DOI:10.1209/0295-5075/ad0bc7

Nirmal Punetha, Anjuman Ara Khatun, Haider Hasan Jafri, Awadhesh Prasad, Manish Dev Shrimali

引用次数: 0

Abstract

Abstract We discuss a simple yet powerful control technique called ‘Linear Augmentation’ (LA) for nonlinear dynamical systems. The linear augmentation can be perceived as a type of interaction that may occur naturally in dynamical systems as an environmental effect, or can be explicitly added to a system in order to control its collective dynamical behavior. LA has been known to effectively regulate resulting dynamics of various dynamical systems and can be used as a powerful control strategy in various applications. Examples include targeting attractor(s), regulating multistable dynamics, suppression of extreme events, and controlling chimera states in the nonlinear dynamical systems. In this review, we discuss augmented dynamics of nonlinear dynamical systems in this perspective with some of its interesting applications.

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非线性系统的增广动力学:综述

我们讨论了一种简单而强大的非线性动力系统控制技术，称为“线性增强”(LA)。线性增强可以被理解为一种相互作用，它可能作为一种环境效应在动力系统中自然发生，或者可以明确地添加到系统中以控制其集体动力行为。已知LA可以有效地调节各种动力系统的结果动力学，并且可以在各种应用中作为一种强大的控制策略。例子包括瞄准吸引子、调节多稳态动力学、抑制极端事件和控制非线性动力系统中的嵌合体状态。在这篇综述中，我们从这个角度讨论非线性动力系统的增广动力学及其一些有趣的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

EPL 物理-物理：综合

CiteScore

3.30

自引率

5.60%

发文量

332

审稿时长

1.9 months

期刊介绍： General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology. Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate). EPL also publishes Comments on Letters previously published in the Journal.