Three-dimensional chaotic autonomous system with only one stable equilibrium: Analysis, circuit design, parameter estimation, control, synchronization and its fractional-order form

2014 ◽  
Vol 129 (5) ◽  
Author(s):  
S. T. Kingni ◽  
S. Jafari ◽  
H. Simo ◽  
P. Woafo
Keyword(s):  
Parameter Estimation ◽  
Circuit Design ◽  
Fractional Order ◽  
Design Parameter ◽  
Autonomous System ◽  
Stable Equilibrium ◽  
Three Dimensional ◽  
Equilibrium Analysis ◽  
Order Form

scholarly journals A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design

Entropy ◽  
2018 ◽  
Vol 20 (9) ◽  
pp. 670 ◽  
Author(s):  
Tomasz Kapitaniak ◽  
S. Mohammadi ◽  
Saad Mekhilef ◽  
Fawaz Alsaadi ◽  
Tasawar Hayat ◽  
...  
Keyword(s):  
Parameter Estimation ◽  
Circuit Design ◽  
Chaotic System ◽  
Stable Equilibrium ◽  
Dynamic Properties ◽  
Three Dimensional ◽  
Equilibrium Analysis ◽  
Entropy Analysis ◽  
New Chaotic System ◽  
Multistable Systems

In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.

A New Five Dimensional Hyperchaotic System and its Fractional Order Form

2013 ◽  
Vol 464 ◽  
pp. 375-380 ◽  
Author(s):  
Ling Liu ◽  
Chong Xin Liu ◽  
Yi Fan Liao
Keyword(s):  
Numerical Simulation ◽  
Fractional Derivative ◽  
Fractional Order ◽  
Simulation Analysis ◽  
Three Dimensional ◽  
Hyperchaotic System ◽  
Order Form ◽  
Simulation Results ◽  
Predictor Corrector ◽  
New Hyperchaotic System

In this paper, a new five-dimensional hyperchaotic system by introducing two additional states feedback into a three-dimensional smooth chaotic system. With three nonlinearities, this system has more than one positive Lyapunov exponents. Based on the fractional derivative theory, the fractional-order form of this new hyperchaotic system has been investigated. Through predictor-corrector algorithm, the system is proved by numerical simulation analysis. Simulation results are provided to illustrate the performance of the fractional-order hyperchaotic attractors well.

Dynamics, Circuit Design, Synchronization, and Fractional-Order Form of a No-Equilibrium Chaotic System

2018 ◽  
pp. 1-31 ◽  
Author(s):  
Viet-Thanh Pham ◽  
Sundarapandian Vaidyanathan ◽  
Christos Volos ◽  
Xiong Wang ◽  
Vo Hoang Duy ◽  
...  
Keyword(s):  
Circuit Design ◽  
Fractional Order ◽  
Chaotic System ◽  
Order Form

scholarly journals Dynamics, Circuit Design and Fractional-Order Form of a Modified Rucklidge Chaotic System

2018 ◽  
Vol 1090 ◽  
pp. 012038
Author(s):  
A Sambas ◽  
S Vaidyanathan ◽  
M Mamat ◽  
M Sanjaya WS ◽  
S H Yuningsih ◽  
...  
Keyword(s):  
Circuit Design ◽  
Fractional Order ◽  
Chaotic System ◽  
Order Form
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