scholarly journals A New Chaotic System With Stable Equilibrium: From Theoretical Model to Circuit Implementation

IEEE Access ◽  
2017 ◽  
Vol 5 ◽  
pp. 8851-8858 ◽  
Author(s):  
Xiong Wang ◽  
Viet-Thanh Pham ◽  
Sajad Jafari ◽  
Christos Volos ◽  
Jesus Manuel Munoz-Pacheco ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Chaotic System ◽  
Stable Equilibrium ◽  
Circuit Implementation ◽  
New Chaotic System

scholarly journals A New Memristor-Based 5D Chaotic System and Circuit Implementation

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Rui Wang ◽  
Mingjin Li ◽  
Zhaoling Gao ◽  
Hui Sun
Keyword(s):  
Chaotic System ◽  
Adaptive Synchronization ◽  
Dynamics Analysis ◽  
Slave System ◽  
Circuit Implementation ◽  
Physical Experiments ◽  
New Chaotic System ◽  
New System

This paper proposes a new 5D chaotic system with the flux-controlled memristor. The dynamics analysis of the new system can also demonstrate the hyperchaotic characteristics. The design and analysis of adaptive synchronization for the new memristor-based chaotic system and its slave system are carried out. Furthermore, the modularized circuit designs method is used in the new chaotic system circuit implementation. The Multisim simulation and the physical experiments are conducted, compared, and matched with each other which can demonstrate the existence of the attractor for the new system.

Some New Dissipative Chaotic Systems with Cyclic Symmetry

2018 ◽  
Vol 28 (13) ◽  
pp. 1850164 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Shirin Panahi ◽  
Anitha Karthikeyan ◽  
Ahmed Alsaedi ◽  
Viet-Thanh Pham ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Stability Analysis ◽  
Lyapunov Exponent ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Basin Of Attraction ◽  
Cyclic Symmetry ◽  
Circuit Implementation ◽  
New Chaotic System ◽  
The Basin Of Attraction

Designing new chaotic system with specific features is an interesting field in nonlinear dynamics. In this paper, some new chaotic systems with cyclic symmetry are proposed. In order to understand the overall behavior of such systems, the dynamical analyses such as stability analysis, bifurcation and Lyapunov exponent analysis are done. The accurate examination of bifurcation plot represents that these systems are multistable which makes them more interesting. Also, the basin of attraction of these systems is investigated to detect the type of attractors of these systems which are self-excited. Finally, the circuit implementation is carried out to show their feasibility.

A New Chaotic Attractor Around a Pre-Located Ring

2017 ◽  
Vol 27 (10) ◽  
pp. 1750152 ◽  
Author(s):  
Zhen Wang ◽  
Zhe Xu ◽  
Ezzedine Mliki ◽  
Akif Akgul ◽  
Viet-Thanh Pham ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Chaotic System ◽  
Chaotic Attractor ◽  
Chaotic Systems ◽  
Specific Property ◽  
Unique Property ◽  
Circuit Implementation ◽  
New Chaotic System ◽  
New Chaotic Attractor ◽  
New System

Designing chaotic systems with specific features is a very interesting topic in nonlinear dynamics. However most of the efforts in this area are about features in the structure of the equations, while there is less attention to features in the topology of strange attractors. In this paper, we introduce a new chaotic system with unique property. It has been designed in such a way that a specific property has been injected to it. This new system is analyzed carefully and its real circuit implementation is presented.

A New Chaotic System with Equilibria Located on a Line and Its Circuit Implementation

2021 ◽  
pp. 565-572
Author(s):  
Fahimeh Nazarimehr ◽  
Mohammad-Ali Jafari ◽  
Sajad Jafari ◽  
Viet-Thanh Pham ◽  
Xiong Wang ◽  
...  
Keyword(s):  
Chaotic System ◽  
Circuit Implementation ◽  
New Chaotic System

A New Chaotic System Family Dynamics Analysis and Circuit Implementation

2013 ◽  
Vol 392 ◽  
pp. 232-236
Author(s):  
Shu Min Duan ◽  
Guo Zeng Wu
Keyword(s):  
Chaotic System ◽  
Electronic Circuit ◽  
Physical Phenomenon ◽  
Three Dimensional ◽  
Dynamics Analysis ◽  
Circuit Implementation ◽  
Parallel Lines ◽  
New Chaotic System ◽  
Dynamical Properties ◽  
Electronic Circuit Implementation

A new three-dimensional chaotic system is presented in this paper. Some basic dynamical Properties of this chaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit implementation. It is new physical phenomenon that the Poincaré mapping of this system is a group of parallel lines.

CAN A THREE-DIMENSIONAL SMOOTH AUTONOMOUS QUADRATIC CHAOTIC SYSTEM GENERATE A SINGLE FOUR-SCROLL ATTRACTOR?

2004 ◽  
Vol 14 (04) ◽  
pp. 1395-1403 ◽  
Author(s):  
WENBO LIU ◽  
GUANRONG CHEN
Keyword(s):  
Phase Space ◽  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Chaotic Attractor ◽  
Three Dimensional ◽  
Chaotic Attractors ◽  
Circuit Implementation ◽  
System Parameters ◽  
New Chaotic System

Recently, we have investigated a new chaotic system of three-dimensional autonomous quadratic ordinary differential equations, and found that the system visually displays a four-scroll chaotic attractor confirmed by both numerical simulations and circuit implementation. In this paper, we further study the following question: Is it really true that this system can generate a four-scroll chaotic attractor, or is it only a numerical artifact? By a more careful theoretical analysis along with some further numerical simulations, we conclude that the four-scroll chaotic attractor of this system, which we observed on both computer and oscilloscope, cannot actually exist in theory. The fact is that this system has two co-existing two-scroll chaotic attractors that are arbitrarily close in the phase space for some system parameters, therefore extremely tiny numerical round-off errors or signal fluctuations will nudge the system orbit to switch from one attractor to another, thereby forming the seemingly single four-scroll chaotic attractor on screen display.

From Wang–Chen System with Only One Stable Equilibrium to a New Chaotic System Without Equilibrium

2017 ◽  
Vol 27 (06) ◽  
pp. 1750097 ◽  
Author(s):  
Viet-Thanh Pham ◽  
Xiong Wang ◽  
Sajad Jafari ◽  
Christos Volos ◽  
Tomasz Kapitaniak
Keyword(s):  
Chaotic System ◽  
State Feedback ◽  
Stable Equilibrium ◽  
Hidden Attractors ◽  
Chen System ◽  
State Variable ◽  
New Chaotic System

Wang–Chen system with only one stable equilibrium as well as the coexistence of hidden attractors has attracted increasing interest due to its striking features. In this work, the effect of state feedback on Wang–Chen system is investigated by introducing a further state variable. It is worth noting that a new chaotic system without equilibrium is obtained. We believe that the system is an interesting example to illustrate the conversion of hidden attractors with one stable equilibrium to hidden attractors without equilibrium.

Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium

2017 ◽  
Vol 27 (09) ◽  
pp. 1750138 ◽  
Author(s):  
Viet-Thanh Pham ◽  
Sajad Jafari ◽  
Christos Volos ◽  
Tomasz Kapitaniak
Keyword(s):  
Chaotic System ◽  
Infinite Number ◽  
Stable Equilibrium ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
View Point ◽  
Hidden Attractors ◽  
New Chaotic System ◽  
Complex Dynamical Behavior ◽  
New System

A new chaotic system having variable equilibrium is introduced in this paper. The presence of an infinite number of equilibrium points, a stable equilibrium, and no-equilibrium is observed in the system. Interestingly, this system is classified as a rare system with hidden attractors from the view point of computation. Complex dynamical behavior and a circuital implementation of the new system have been investigated in our work.

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