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The particular properties of synchronization are discussed for coupled auto-oscillating systems, which are characterized by non-quadratic law of potential dependence on the coordinate. In particular, structure of the parameter plane…

混沌动力学 · 物理学 2013-07-01 A. P. Kuznetsov , Ju. P. Roman

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback.Such a control scheme requires knowledge of the systems' parameters. We demonstate that when…

混沌动力学 · 物理学 2007-05-23 E. M. Shahverdiev , K. A. Shore

This paper deals with a unifying approach to the problems of computing the admissible sets of parametrical multi perturbations in appropriate bounded sets such that some fundamental properties of parameter-varying linear dynamic systems are…

最优化与控制 · 数学 2008-03-28 M. De la Sen

Identifying a linear system model from data has wide applications in control theory. The existing work on finite sample analysis for linear system identification typically uses data from a single system trajectory under i.i.d random inputs,…

系统与控制 · 电气工程与系统科学 2023-09-19 Lei Xin , George Chiu , Shreyas Sundaram

Chaotic systems can be synchronized by linking them to a common signal, subject to certain conditions. However, the presence of multiple driving signals coming from different systems, give rise to novel behavior. The particular case of…

chao-dyn · 物理学 2007-05-23 Sitabhra Sinha

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

混沌动力学 · 物理学 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series data. In particular, we examine the…

chao-dyn · 物理学 2007-05-23 Justin Goodwin , Reggie Brown , Lutz Junge

In this paper, we aim to investigate the synchronization problem of dynamical systems, which can be of generic linear or Lipschitz nonlinear type, communicating over directed switching network topologies. A mild connectivity assumption on…

系统与控制 · 计算机科学 2018-07-23 Jiahu Qin , Qichao Ma , Xinghuo Yu , Long Wang

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

Suppose we are given a system of coupled oscillators on an unknown graph along with the trajectory of the system during some period. Can we predict whether the system will eventually synchronize? Even with a known underlying graph…

动力系统 · 数学 2022-08-25 Hardeep Bassi , Richard Yim , Rohith Kodukula , Joshua Vendrow , Cherlin Zhu , Hanbaek Lyu

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

混沌动力学 · 物理学 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

In this paper, we characterize the synchronization phenomenon of hyperchaotic scalar non-linear delay dynamics in a fully-developed chaos regime. Our results rely on the observation that, in that regime, the stationary statistical…

混沌动力学 · 物理学 2008-10-08 Adrian A. Budini

In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some…

数据结构与算法 · 计算机科学 2010-01-28 Sudipto Guha , Kamesh Munagala

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

动力系统 · 数学 2021-06-25 Rico Berner , Serhiy Yanchuk

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

最优化与控制 · 数学 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

无序系统与神经网络 · 物理学 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

Systems that synchronize in nature are intrinsically different from one another, with possibly large differences from system to system. While a vast part of the literature has investigated the emergence of network synchronization for the…

系统与控制 · 电气工程与系统科学 2023-09-01 Amirhossein Nazerian , Shirin Panahi , Francesco Sorrentino

An approach based on the kernel methods for capturing the nonlinear interdependence between two signals is introduced. It is demonstrated that the proposed approach is useful for characterizing generalized synchronization with a successful…

混沌动力学 · 物理学 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara