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Erschienen in:
A Novel Design Approach of a Nonlinear Resistor Based on a Memristor Emulator Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Dynamic Analysis, Adaptive Feedback Control and Synchronization of An Eight-Term 3-D Novel Chaotic System with Three Quadratic Nonlinearities

verfasst von : Sundarapandian Vaidyanathan, Ahmad Taher Azar

Erschienen in: Advances in Chaos Theory and Intelligent Control

Verlag: Springer International Publishing

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Abstract

In this research work, we describe an eight-term 3-D novel chaotic system with three quadratic nonlinearities. First, this work describes the dynamic analysis of the novel chaotic system. The Lyapunov exponents of the eight-term novel chaotic system are obtained as \(L_1 = 4.0359, L_2 = 0\) and \(L_3 = -29.1071\). The Kaplan-Yorke dimension of the novel chaotic system is obtained as \(D_{KY} = 2.1384\). Next, this work describes the adaptive feedback control of the novel chaotic system with unknown parameters. Also, this work describes the adaptive feedback synchronization of the identical novel chaotic systems with unknown parameters. The adaptive feedback control and synchronization results are proved using Lyapunov stability theory. MATLAB simulations are depicted to illustrate all the main results for the eight-term 3-D novel chaotic system.

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Vorheriges Kapitel Mathematical Modelling of Chaotic Jerk Circuit and Its Application in Secure Communication System
Nächstes Kapitel Qualitative Study and Adaptive Control of a Novel 4-D Hyperchaotic System with Three Quadratic Nonlinearities
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Metadaten
Titel
Dynamic Analysis, Adaptive Feedback Control and Synchronization of An Eight-Term 3-D Novel Chaotic System with Three Quadratic Nonlinearities
verfasst von
Sundarapandian Vaidyanathan
Ahmad Taher Azar
Copyright-Jahr
2016
Buch
Advances in Chaos Theory and Intelligent Control

Print ISBN: 978-3-319-30338-3

Electronic ISBN: 978-3-319-30340-6

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-30340-6_7