scholarly journals A new chaotic attractor graphics drawing method based on the curved iteration

2014 ◽  
Vol 63 (12) ◽  
pp. 120502
Author(s):  
Yu Wan-Bo ◽  
Zhao Bin
Keyword(s):  
Chaotic Attractor ◽  
New Chaotic Attractor ◽  
Drawing Method

Generating a new chaotic attractor by feedback controlling method

2011 ◽  
Vol 34 (17) ◽  
pp. 2159-2166 ◽  
Author(s):  
Yuhua Xu ◽  
Wuneng Zhou ◽  
Jian-an Fang ◽  
Junhai Ma ◽  
Yuling Wang
Keyword(s):  
Chaotic Attractor ◽  
New Chaotic Attractor

scholarly journals MULTI-SCROLL CHAOTIC AND HYPERCHAOTIC ATTRACTORS GENERATED FROM CHEN SYSTEM

2012 ◽  
Vol 22 (02) ◽  
pp. 1250033 ◽  
Author(s):  
XINZHI LIU ◽  
XUEMIN SHERMAN SHEN ◽  
HONGTAO ZHANG
Keyword(s):  
Feedback Control ◽  
Chaotic Attractor ◽  
Equilibrium Points ◽  
Phase Portraits ◽  
Control Parameters ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Lyapunov Dimension ◽  
Chen System ◽  
New Chaotic Attractor

In this paper, we create a multi-scroll chaotic attractor from Chen system by a nonlinear feedback control. The dynamic behavior of the new chaotic attractor is analyzed. Specially, the Lyapunov spectrum and Lyapunov dimension are calculated and the bifurcation diagram is sketched. Furthermore, via changing the value of the control parameters, we can increase the number of equilibrium points and obtain a family of more complex chaotic attractors with different topological structures. By introducing time delay to the feedback control, we then generalize the multi-scroll attractor to a set of hyperchaotic attractors. Computer simulations are given to illustrate the phase portraits with different system parameters.

scholarly journals A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario

2005 ◽  
Vol 2005 (3) ◽  
pp. 235-238 ◽  
Author(s):  
Zeraoulia Elhadj
Keyword(s):  
Chaotic Attractor ◽  
Period Doubling ◽  
Period Doubling Bifurcation ◽  
The Other ◽  
Chaotic Attractors ◽  
Classical Period ◽  
New Chaotic Attractor

The following map is studied:(x,y)→(1+a(|x|−y2)+y,bx). It is proved numerically that this model can display two different chaotic attractors, one is new and the other is a Lozi-type attractor. The new chaotic attractor is allowed via a border-collision period-doubling scenario, which is different from the classical period-doubling bifurcation.

A NEW CHAOTIC ATTRACTOR COINED

2002 ◽  
Vol 12 (03) ◽  
pp. 659-661 ◽  
Author(s):  
JINHU LÜ ◽  
GUANRONG CHEN
Keyword(s):  
Chaotic Attractor ◽  
Autonomous System ◽  
Three Dimensional ◽  
The Other ◽  
Lorenz Attractor ◽  
New Chaotic Attractor

This letter reports the finding of a new chaotic attractor in a simple three-dimensional autonomous system, which connects the Lorenz attractor and Chen's attractor and represents the transition from one to the other.

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.

DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR

2002 ◽  
Vol 12 (05) ◽  
pp. 1001-1015 ◽  
Author(s):  
JINHU LÜ ◽  
GUANRONG CHEN ◽  
SUOCHUN ZHANG
Keyword(s):  
Chaotic Attractor ◽  
Dynamical Analysis ◽  
Lorenz Attractor ◽  
Routes To Chaos ◽  
Basic Properties ◽  
Dynamical Behaviors ◽  
New Chaotic Attractor ◽  
New System

Dynamical behaviors of a new chaotic attractor is investigated in this paper. Some basic properties, bifurcations, routes to chaos, and periodic windows of the new system are studied either analytically or numerically. Meanwhile, the transition between the Lorenz attractor and Chen's attractor through the new system is explored.

Experimental confirmation of a new chaotic attractor

2004 ◽  
Vol 21 (1) ◽  
pp. 69-74 ◽  
Author(s):  
Fengling Han ◽  
Yuye Wang ◽  
Xinghuo Yu ◽  
Yong Feng
Keyword(s):  
Chaotic Attractor ◽  
Experimental Confirmation ◽  
New Chaotic Attractor

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>

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

2018 ◽  
Vol 14 (1) ◽  
Author(s):  
Hojjat Kaveh ◽  
Hassan Salarieh
Keyword(s):  
Chaotic Attractor ◽  
Chaos Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Original System ◽  
Control Of Chaos ◽  
State Measurement ◽  
New Chaotic Attractor ◽  
Systematic Control ◽  
Takens Embedding

This paper has dedicated to study the control of chaos when the system dynamics is unknown and there are some limitations on measuring states. There are many chaotic systems with these features occurring in many biological, economical and mechanical systems. The usual chaos control methods do not have the ability to present a systematic control method for these kinds of systems. To fulfill these strict conditions, we have employed Takens embedding theorem which guarantees the preservation of topological characteristics of the chaotic attractor under an embedding named “Takens transformation.” Takens transformation just needs time series of one of the measurable states. This transformation reconstructs a new chaotic attractor which is topologically similar to the unknown original attractor. After reconstructing a new attractor its governing dynamics has been identified. The measurable state of the original system which is one of the states of the reconstructed system has been controlled by delayed feedback method. Then the controlled measurable state induced a stable response to all of the states of the original system.

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