scholarly journals Approximations of chaotic attractors and its circuit design based on the parameter switching algorithm

2015 ◽  
Vol 64 (20) ◽  
pp. 200508
Author(s):  
Luo Shao-Xuan ◽  
He Bo-Xia ◽  
Qiao Ai-Min ◽  
Wang Yan-Chun
Keyword(s):  
Circuit Design ◽  
Chaotic Attractors ◽  
Switching Algorithm ◽  
Parameter Switching

scholarly journals A new 2-D multi-stable chaotic attractor and its MultiSim electronic circuit design

2021 ◽  
Vol 22 (2) ◽  
pp. 699
Author(s):  
Sundarapandian Vaidyanathan ◽  
Aceng Sambas ◽  
Mohamad Afendee Mohamed ◽  
Mustafa Mamat ◽  
W. S. Mada Sanjaya ◽  
...  
Keyword(s):  
Circuit Design ◽  
Chaotic Attractor ◽  
Electronic Circuit ◽  
Stable System ◽  
Chaotic Attractors ◽  
Sliding Control ◽  
Practical Engineering ◽  
New Chaotic Attractor ◽  
Electronic Circuit Design

<span>A new multi-stable system with a double-scroll chaotic attractor is developed in this paper. Signal plots are simulated using MATLAB and multi-stability is established by showing two different coexisting double-scroll chaotic attractors for different states and same set of parameters. Using integral sliding control, synchronized chaotic attractors are achieved between drive-response chaotic attractors. A MultiSim circuit is designed for the new chaotic attractor, which is useful for practical engineering realizations.</span>

Generating Multiple Spherical Attractors via Parameter Switching Control

2021 ◽  
Vol 31 (16) ◽  
Author(s):  
Changchun Sun ◽  
Qicheng Xu
Keyword(s):  
Continuous Time ◽  
Three Dimensional ◽  
Switching Control ◽  
Control Technique ◽  
Chaotic Attractors ◽  
Time System ◽  
Offset Boosting ◽  
State Dependent ◽  
Parameter Switching ◽  
Continuous Time System

A three-dimensional smooth continuous-time system with a parameter and two quadratic terms is constructed and a spherical attractor is generated. There exist multiple coexisting spherical attractors based on offset boosting. Two classes of switching signals that depend on the time and the state are designed respectively. By employing a parameter switching control technique, multiple spherical attractors can be generated. Simultaneously, complex chaotic attractors can also be generated by designing a state-dependent switching signal. Numerical examples and corresponding simulations show the effectiveness of the switching control technique.

scholarly journals A family of multi-scroll chaotic attractors and its circuit design

2008 ◽  
Vol 57 (12) ◽  
pp. 7511
Author(s):  
Luo Xiao-Hua ◽  
Li Hua-Qing ◽  
Dai Xiang-Guang
Keyword(s):  
Circuit Design ◽  
Chaotic Attractors

A Simple Grid Multiscroll Chaotic Electronic Oscillator Employing CFOAs

2014 ◽  
Vol 24 (02) ◽  
pp. 1450017 ◽  
Author(s):  
Yuan Lin ◽  
Chun Hua Wang ◽  
Jin Wen Yin ◽  
Yan Hu
Keyword(s):  
Theoretical Analysis ◽  
Circuit Design ◽  
Nonlinear Function ◽  
Operational Amplifiers ◽  
Chaotic Attractors ◽  
Simple Circuit ◽  
Chaotic Circuit ◽  
Current Feedback ◽  
Current Feedback Operational Amplifiers ◽  
Electronic Oscillator

In this paper, a novel grid multiscroll chaotic electronic oscillator with simple circuit design is proposed. The proposed grid multiscroll chaotic circuit only needs two current feedback operational amplifiers (CFOAs) as current integrators, passive RC, and nonlinear elements in the form of current stair nonlinear function series (SNFS) realized with CFOAs. Compared with existing grid multiscroll circuits such as Chua's circuit and Jerk circuit, etc., its component count is reduced. Mathematical models of the proposed generators are derived. Theoretical analysis and numerical simulations of the derived models are included. Moreover, the experimental results are verified that the proposed simpler chaotic electronic oscillator can generate grid multiscroll chaotic attractors with higher frequency.

A NEW CHAOTIC SYSTEM BASED ON MULTIPLE-ANGLE SINUSOIDAL FUNCTION: DESIGN AND IMPLEMENTATION

2009 ◽  
Vol 19 (06) ◽  
pp. 2073-2084 ◽  
Author(s):  
CHAOXIA ZHANG ◽  
WALLACE K. S. TANG ◽  
SIMIN YU
Keyword(s):  
Circuit Design ◽  
Three Dimensional ◽  
Chaotic Attractors ◽  
Angular Range ◽  
Design And Implementation ◽  
Function Design ◽  
New Chaotic System ◽  
Different Types ◽  
Sinusoidal Functions ◽  
Sinusoidal Function

This paper proposes a new three-dimensional chaotic generator, for which the nonlinearity is based on sinusoidal function. Based on a practical circuit design for realizing a wide angular range of sinusoidal functions, chaotic attractors with large number of scrolls have been obtained. Different types of attractors are available, governed by the choices of variables used in the sinusoidal function. The design is illustrated with both simulations and experiments.

scholarly journals Approximating hidden chaotic attractors via parameter switching

2018 ◽  
Vol 28 (1) ◽  
pp. 013127 ◽  
Author(s):  
Marius-F. Danca ◽  
Nikolay V. Kuznetsov ◽  
Guanrong Chen
Keyword(s):  
Chaotic Attractors ◽  
Parameter Switching
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