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In this paper, fractional order Coullet system is studied. An active control technique is applied to control this chaotic system. This type of controller is also applied to synchronize chaotic fractional-order systems in master-slave…

混沌动力学 · 物理学 2012-06-13 M. Shahiri T. , A. Ranjbar N. , R. Ghaderi , S. H. Hosseinnia , S. Momani

In this article, a new synchronization scheme is presented by combining the concept of reduced-order synchronization with multi-switching synchronization schemes. The presented scheme, reduced-order multi-switching hybrid synchronization,…

混沌动力学 · 物理学 2018-04-10 Ayub Khan , Dinesh Khattar , Nitish Prajapati

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown…

混沌动力学 · 物理学 2009-11-11 Chunguang Li

This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common…

系统与控制 · 计算机科学 2013-03-25 S. Hassan HosseinNia , Inés Tejado , Blas M. Vinagre

The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order…

混沌动力学 · 物理学 2009-11-10 Chunguang Li , Xiaofeng Liao , Juebang Yu

"Synchronization of two dynamical systems" is the term used to describe the phenomenon when two or more systems gradually change their states or behaviors to become similar or identical. This can happen in a lot of fields, such as physics,…

最优化与控制 · 数学 2026-03-24 Vivek Mishra , S. K. Agrawal

No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give…

系统与控制 · 计算机科学 2014-07-25 S. Hassan HosseinNia , Ines Tejado , Blas M. Vinagre

In this paper, a sliding mode controller is designed to synchronize a chaotic fractional-order system. To construct a corrective control input, a saturation function sat(.), with a modified sliding surface is proposed. Finally, Chaos in the…

混沌动力学 · 物理学 2012-06-13 S. H. Hosseinnia , R. Ghaderi , A. Ranjbar N. , S. Momani

No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give…

系统与控制 · 计算机科学 2014-07-25 S. Hassan HosseinNia , Ines Tejado , Blas M. Vinagre

In this paper, an adaptive fractional controller has been designed to control chaotic systems. In fact, this controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. The…

混沌动力学 · 物理学 2012-06-13 S. H. Hosseinnia , R. Ghaderi , A. Ranjbar N. , J. Sadati , S. Momani

This paper investigates the operation of a hybrid power system through a novel fuzzy control scheme. The hybrid power system employs various autonomous generation systems like wind turbine, solar photovoltaic, diesel engine, fuel-cell, aqua…

系统与控制 · 计算机科学 2016-12-01 Indranil Pan , Saptarshi Das

In this paper we briefly report some recent developments on generalized synchronization. We discuss different methods of detecting generalized synchronization. We first consider two unidirectionally coupled systems and then two mutually…

混沌动力学 · 物理学 2014-04-01 Suman Acharyya , R. E. Amritkar

This article regards numerical optimal control of a class of hybrid systems with hysteresis using solely techniques from nonlinear optimization, without any integer variables. Hysteresis is a rate independent memory effect which often…

最优化与控制 · 数学 2022-08-02 Armin Nurkanović , Moritz Diehl

In this work, we introduce a new three-dimensional chaotic differential dynamical system. We find equilibrium points of this system and provide the stability conditions for various fractional orders. Numerical simulations will be used to…

混沌动力学 · 物理学 2020-07-08 Madhuri Patil , Sachin Bhalekar

Hybrid dynamical systems are viewed as the most complicated systems with continuous and event-based behaviors. Since traditional controllers cannot handle these systems, some newly-developed controllers have been published in recent decades…

系统与控制 · 电气工程与系统科学 2025-11-05 Ali Taghavian , Ali Safi , Esmaeel Khanmirza

This paper is devoted to the problem of synchronization between fractional-order chaotic systems with Gaussian fluctuation by the method of fractional-order sliding mode control. A fractional integral (FI) sliding surface is proposed for…

混沌动力学 · 物理学 2013-09-05 Yong Xu , Hua Wang

This article suggests ways to implement sequential, parallel and in the form of a given configuration of the movement of an ensemble (swarm) of mobile agents using the effect of chaotic phase synchronization. The possibility of controlling…

适应与自组织系统 · 物理学 2023-12-13 E. M. Varvarin , G. V. Osipov

Delays are ubiquitous in modern hybrid systems, which exhibit both continuous and discrete dynamical behaviors. Induced by signal transmission, conversion, the nature of plants, and so on, delays may appear either in the continuous…

系统与控制 · 电气工程与系统科学 2021-03-23 Yunjun Bai , Ting Gan , Li Jiao , Bican Xia , Bai Xue , Naijun Zhan

In this paper, we address the reduced-order synchronization problem between two chaotic memristive Hindmarsh-Rose (HR) neurons of different orders using two distinct methods. The first method employs the Lyapunov active control technique.…

适应与自组织系统 · 物理学 2025-07-15 Jan Kobiolka , Marius E. Yamakou

In this article we synchronize by active control method all 19 identical Sprott systems provided in paper [10]. Particularly, we find the corresponding active controllers as well as we perform (as an example) the numerical synchronization…

混沌动力学 · 物理学 2017-09-11 Marcin Daszkiewicz
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