Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting

2020 ◽  
Vol 21 (6) ◽  
pp. 950-961
Author(s):  
Sifeu Takougang Kingni ◽  
Karthikeyan Rajagopal ◽  
Serdar Çiçek ◽  
Ashokkumar Srinivasan ◽  
Anitha Karthikeyan
Keyword(s):  
Dynamic Analysis ◽  
Chaotic System ◽  
Fpga Implementation ◽  
Offset Boosting

scholarly journals Multistability Analysis, Coexisting Multiple Attractors, and FPGA Implementation of Yu–Wang Four-Wing Chaotic System

2020 ◽  
Vol 2020 ◽  
pp. 1-16 ◽  
Author(s):  
Fei Yu ◽  
Li Liu ◽  
Hui Shen ◽  
Zinan Zhang ◽  
Yuanyuan Huang ◽  
...  
Keyword(s):  
Chaotic System ◽  
Basin Of Attraction ◽  
Fpga Implementation ◽  
Chaotic Oscillator ◽  
Stable Node ◽  
Multiple Attractors ◽  
Standard Format ◽  
Offset Boosting ◽  
The Stability ◽  
Lyapunov Exponent Spectrum

In this paper, we further study the dynamic characteristics of the Yu–Wang chaotic system obtained by Yu and Wang in 2012. The system can show a four-wing chaotic attractor in any direction, including all 3D spaces and 2D planes. For this reason, our interest is focused on multistability generation and chaotic FPGA implementation. The stability analysis, bifurcation diagram, basin of attraction, and Lyapunov exponent spectrum are given as the methods to analyze the dynamic behavior of this system. The analyses show that each system parameter has different coexistence phenomena including coexisting chaotic, coexisting stable node, and coexisting limit cycle. Some remarkable features of the system are that it can generate transient one-wing chaos, transient two-wing chaos, and offset boosting. These phenomena have not been found in previous studies of the Yu–Wang chaotic system, so they are worth sharing. Then, the RK4 algorithm of the Verilog 32-bit floating-point standard format is used to realize the autonomous multistable 4D Yu–Wang chaotic system on FPGA, so that it can be applied in embedded engineering based on chaos. Experiments show that the maximum operating frequency of the Yu–Wang chaotic oscillator designed based on FPGA is 161.212 MHz.

scholarly journals Dynamical analysis and FPGA implementation of a large range chaotic system with coexisting attractors

2018 ◽  
Vol 11 ◽  
pp. 368-376 ◽  
Author(s):  
Yong-ju Xian ◽  
Cheng Xia ◽  
Tao-tao Guo ◽  
Kun-rong Fu ◽  
Chang-biao Xu
Keyword(s):  
Chaotic System ◽  
Large Range ◽  
Fpga Implementation ◽  
Dynamical Analysis ◽  
Coexisting Attractors

Dynamic analysis of seven-dimensional fractional-order chaotic system and its application in encrypted communication

2020 ◽  
Vol 11 (11) ◽  
pp. 5399-5417
Author(s):  
ZhiWei Peng ◽  
WenXin Yu ◽  
JunNian Wang ◽  
Jing Wang ◽  
Yu Chen ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Fractional Order ◽  
Chaotic System ◽  
Encrypted Communication

scholarly journals Dynamic Analysis of a One-Parameter Chaotic System in Complex Field

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 28774-28781 ◽  
Author(s):  
Xiu Zhao ◽  
Jian Liu ◽  
Hongjun Liu ◽  
Fangfang Zhang
Keyword(s):  
Dynamic Analysis ◽  
Chaotic System ◽  
Complex Field

Memristor Oscillators and its FPGA Implementation

2011 ◽  
Vol 383-390 ◽  
pp. 6992-6997 ◽  
Author(s):  
Ai Xue Qi ◽  
Cheng Liang Zhang ◽  
Guang Yi Wang
Keyword(s):  
Numerical Simulation ◽  
Chaotic System ◽  
Field Programmable Gate Array ◽  
Chaotic Attractor ◽  
Hardware Implementation ◽  
Fpga Implementation ◽  
Experimental Results ◽  
Linear Resistance ◽  
Non Linear ◽  
Field Programmable

This paper presents a method that utilizes a memristor to replace the non-linear resistance of typical Chua’s circuit for constructing a chaotic system. The improved circuit is numerically simulated in the MATLAB condition, and its hardware implementation is designed using field programmable gate array (FPGA). Comparing the experimental results with the numerical simulation, the two are the very same, and be able to generate chaotic attractor.

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