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nonlinear and chaotic systems

ANTI-SYNCHRONIZATION OF PAN AND LIU CHAOTIC SYSTEMS BY ACTIVE NONLINEAR CONTROL

ANTI-SYNCHRONIZATION OF PAN AND LIU CHAOTIC SYSTEMS BY ACTIVE NONLINEAR CONTROL

... Pan chaotic systems (2010), identical Liu chaotic systems (2004) and non-identical Pan and Liu chaotic systems by active nonlinear ...active nonlinear control ...

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Designing full-order sliding mode controller based on ANFIS approximator for uncertain nonlinear chaotic systems

Designing full-order sliding mode controller based on ANFIS approximator for uncertain nonlinear chaotic systems

... controlling chaotic nonlinear ...well-known chaotic nonlinear systems, ...torch systems, and the simulation results show the effectiveness of the proposed ...uncertain ...

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Numerical Calculations for Nonlinear Characteristics of Chaotic Systems

Numerical Calculations for Nonlinear Characteristics of Chaotic Systems

... Abstract: This paper describes the relationship between Lyapunov index and the chaos of the dynamics system. Mainly describe the Lorenz system and Rossler system, and calculated the Lyapunov index of these two ...

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Partial synchronization of non-identical chaotic systems via adaptive control, with applications to modelling coupled nonlinear systems

Partial synchronization of non-identical chaotic systems via adaptive control, with applications to modelling coupled nonlinear systems

... two systems such that the coupling is bidirectional and the two systems interact dynamically, giving rise to a complex dynamical ...where systems are modeled by coupling a set of interacting ...

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Anti-Phase Synchronization of the Yu-Wang and Burke-Shaw Chaotic Dynamic Systems via Nonlinear Controllers

Anti-Phase Synchronization of the Yu-Wang and Burke-Shaw Chaotic Dynamic Systems via Nonlinear Controllers

... in chaotic dynamics has continued to increase every year due to the discovery of these dynamics in multitude of systems cutting across most ...novel chaotic attractors whose dynamics are subsequently ...

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Dynamic Sliding Mode Control of Nonlinear Systems Using Neural Networks

Dynamic Sliding Mode Control of Nonlinear Systems Using Neural Networks

... ABSTRACT: In this paper, dynamic sliding mode control (DSMC) of nonlinear systems using neural networks is proposed. In DSMC, the chattering is removed due to the integrator placed before the input control ...

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Fuzzy synchronization of the 3D chaotic systems using belbic

Fuzzy synchronization of the 3D chaotic systems using belbic

... applied nonlinear science during the last ...in nonlinear dynamic systems has been extended to a much wider class of ...for chaotic systems have been carried out based on Takagi–Sugeno ...

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Adaptive control of nonlinear dynamical systems using a model reference approach

Adaptive control of nonlinear dynamical systems using a model reference approach

... how nonlinear systems with either small or identi- cal nonlinearity can often be controlled using a standard linear adaptive control, and a numerical example of each of these cases has been ...non-identical ...

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Adaptive Fuzzy sliding mode control for chaotic nonlinear systems with uncertainties
based on fractional calculus

Adaptive Fuzzy sliding mode control for chaotic nonlinear systems with uncertainties based on fractional calculus

... order chaotic nonlinear system must have a minimum order of 3 for chaos to ...fractional systems (or more specifically, non-integer-order systems), it is not the ...the chaotic dynamics ...

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Computer Simulation of Chaotic Systems

Computer Simulation of Chaotic Systems

... This paper is about the implementation of a software tool to aid the study of chaos theory in the the context of the financial or commodities markets. The main focus of this paper is simulating the movement of oil prices ...

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Dual combination-combination multi switching anti synchronization of chaotic systems

Dual combination-combination multi switching anti synchronization of chaotic systems

... engineering systems, infor- mation processing, secure communications, and biomedical science amongst many others has led to a vast variety of research studies in this topic of nonlinear science ...a ...

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Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System

Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System

... into chaotic system and investigated the rich dynamics of fractional chaotic system, meanwhile, abundant literatures have been reported in succession ...the chaotic synchronization of ...

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Flexible control of chaotic systems

Flexible control of chaotic systems

... in nonlinear dynamical systems was first noted around the turn of the century by Henri ...to nonlinear dynamics was taken up by others such as Birkhoff, Cartwright and Littlewood, Levinson, Smale and ...

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Identification of Structural Model for Chaotic Systems

Identification of Structural Model for Chaotic Systems

... This article is talking about the study constructive method of structural identification systems with chaotic dynamics. It is shown that the reconstructed attractors are a source of information not only ...

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Robust Adaptive Control of Two Chaotic Systems with Unknown Parameters

Robust Adaptive Control of Two Chaotic Systems with Unknown Parameters

... x   dx  k x  x x (24) where a b c d , , , are unknown parameters. The assumption conditions that uncertain nonlinear functions satisfy are the same as above. The structure of response system is known. Its ...

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The Global Exponential Stability Analysis of Nonlinear Dynamic System and Application

The Global Exponential Stability Analysis of Nonlinear Dynamic System and Application

... of nonlinear dynamical systems and obtained some extraordinary nice conclusions [1]-[20], and these research results have been fully reflected in the practical application ...of nonlinear dynamical ...

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A Novel Chaotic Synchronization Scheme Based on Impulsive Stability Theory

A Novel Chaotic Synchronization Scheme Based on Impulsive Stability Theory

... identical chaotic systems with different initial conditions, various synchronization schemes have been studied by many researchers, such as OGY method [2], observer-based control[3], adaptive control[4], ...

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A New Chaotic Attractor with Quadratic Exponential Nonlinear Term from Chen’s Attractor

A New Chaotic Attractor with Quadratic Exponential Nonlinear Term from Chen’s Attractor

... When a = 35, b = 3, c = 28 ,the Lyapunov exponents of system (1) are found to be LE1=1.997, LE2=0.0002 , LE3=-11.9943. The fractal dimension of system (1) is D1=2.1665 . The chaotic attractor is shown in figure 1. ...

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On closure parameter estimation in chaotic systems

On closure parameter estimation in chaotic systems

... The likelihood approach performed well in our tests. The performance of the method was somewhat sensitive to the tuning of the model error covariance, like in the state aug- mentation approach. The likelihood approach ...

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Observer Based Fuzzy Terminal Sliding Mode Controller Design for a Class of Fractional Order Chaotic Nonlinear Systems

Observer Based Fuzzy Terminal Sliding Mode Controller Design for a Class of Fractional Order Chaotic Nonlinear Systems

... The following maps the organization of the present study: section 2 includes basic definition of fractional calculus, section 3 provides a high gain observer, section 4 introduces a new terminal sliding mode controller ...

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