The Chaos Generalized Synchronization of a Quantum-CNN Chaotic Oscillator with a Double Duffing Chaotic System by GYC Partial Region Stability Theory

2011 ◽  
Vol 8 (11) ◽  
pp. 2255-2265
Author(s):  
Cheng-Hsiung Yang
Keyword(s):  
Chaotic System ◽  
Stability Theory ◽  
Chaotic Oscillator ◽  
Generalized Synchronization ◽  
Partial Region

GENERALIZED SYNCHRONIZATION IN DOUBLY DRIVEN CHAOTIC SYSTEM

2006 ◽  
Vol 20 (24) ◽  
pp. 3477-3485
Author(s):  
XIA HUANG ◽  
JIAN GAO ◽  
DAIHAI HE ◽  
ZHIGANG ZHENG
Keyword(s):  
Chaotic System ◽  
Conditional Entropy ◽  
Chaotic Oscillator ◽  
Generalized Synchronization ◽  
Entropy Analysis ◽  
Entropy Spectrum ◽  
Chaotic Signals ◽  
Coupling Strengths ◽  
Conventional Methods ◽  
Parameter Values

Generalized synchronization (GS) of a chaotic oscillator driven by two chaotic signals is investigated in this paper. Both receiver and drivers are the same kind of oscillators with mismatched parameter values. Partial and global GS may appear depending on coupling strengths. An approach based on the conditional entropy analysis is presented to test the partial GS, which is difficult to determine with conventional methods. A trough in conditional entropy spectrum indicates partial GS between the receiver and one of the drivers.

Impulsive Control and Practical Generalized Synchronization of a Class of Uncertain Chaotic System with a Given Manifold

2015 ◽  
Vol 782 ◽  
pp. 296-301
Author(s):  
Jian Xu Ding ◽  
Cheng Wang ◽  
Yong Bi
Keyword(s):  
Differential Equations ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Coupled Systems ◽  
Generalized Synchronization

In this paper, we study practical generalized synchronization of uncertain chaotic system with a given manifold Y = H(X). We construct a class of the bi-directionally coupled chaotic systems with impulsive control, and demonstrate theoretically that the bi-coupled systems could realize practical generalized synchronization on the basis of stability theory of impulsive differential equations. Numerical simulations with super-chaotic system are provided to further demonstrate the effectiveness and generality of our approach.

A Compact and Low Power Realization of a High Frequency Chaotic Oscillator

2017 ◽  
Vol 2017 (DPC) ◽  
pp. 1-27
Author(s):  
R. Chase Harrison ◽  
Benjamin K. Rhea ◽  
Frank T. Werner ◽  
Robert N. Dean
Keyword(s):  
Low Power ◽  
Chaotic System ◽  
High Frequency ◽  
High Speed ◽  
Random Number ◽  
Nonlinear Dynamical Systems ◽  
Initial Conditions ◽  
Random Number Generation ◽  
Chaotic Oscillator ◽  
Number Generation

The desirable properties exhibited in some nonlinear dynamical systems have many potential uses. These properties include sensitivity to initial conditions, wide bandwidth, and long-term aperiodicity, which lend themselves to applications such as random number generation, communication and audio ranging systems. Chaotic systems can be realized in electronics by using inexpensive and readily available parts. Many of these systems have been verified in electronics using nonpermanent prototyping at very low frequencies; however, this restricts the range of potential applications. In particular, random number generation (RNG) benefits from an increase in operation frequency, since it is proportional to the amount of bits that can be produced per second. This work looks specifically at the nonlinear element in the chaotic system and evaluates its frequency limitations in electronics. In practice, many of nonlinearities are difficult to implement in high speed electronics. In addition to this restriction, the use of complex feedback paths and large inductors prevents the miniaturization that is desirable for implementing chaotic circuits in other electronic systems. By carefully analyzing the fundamental dynamics that govern the chaotic system, these problems can be addressed. Presented in this work is the design and realization of a high frequency chaotic oscillator that exhibits complex and rich dynamics while using a compact footprint and low power consumption.

Impulsive generalized synchronization of chaotic system

2007 ◽  
Vol 16 (7) ◽  
pp. 1912-1917 ◽  
Author(s):  
Zhang Rong ◽  
Xu Zhen-Yuan ◽  
He Xue-Ming
Keyword(s):  
Chaotic System ◽  
Generalized Synchronization

A Modified Multistable Chaotic Oscillator

2018 ◽  
Vol 28 (07) ◽  
pp. 1850085 ◽  
Author(s):  
Zhouchao Wei ◽  
Viet-Thanh Pham ◽  
Abdul Jalil M. Khalaf ◽  
Jacques Kengne ◽  
Sajad Jafari
Keyword(s):  
Chaotic System ◽  
Limit Cycles ◽  
Initial Conditions ◽  
Chaotic Oscillator ◽  
Two Dimensional ◽  
Different Types ◽  
New System

In this paper, by modifying a known two-dimensional oscillator, we obtain an interesting new oscillator with coexisting limit cycles and point attractors. Then by changing this new system to its forced version and choosing a proper set of parameters, we introduce a chaotic system with some very interesting features. In this system, not only can we see the coexistence of different types of attractors, but also a fascinating phenomenon: some initial conditions can escape from the gravity of nearby attractors and travel far away before being trapped in an attractor beyond the usual access.

scholarly journals Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy

2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
Shih-Yu Li ◽  
Shi-An Chen ◽  
Chin-Teng Lin ◽  
Li-Wei Ko ◽  
Cheng-Hsiung Yang ◽  
...  
Keyword(s):  
Control Strategy ◽  
Stability Theory ◽  
High Performance ◽  
Chaotic Systems ◽  
Control Function ◽  
Homogeneous Function ◽  
Functional System ◽  
Generalized Synchronization ◽  
High Efficient ◽  
Lyapunov Control

A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen’s system, and Rossler’s system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.

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