scholarly journals Circuit Implementation and PRNG Application of Time Delayed Lorenz System

Author(s):  
Burak ARICIOĞLU ◽  
Sezgin KAÇAR
2009 ◽  
Vol 18 (5) ◽  
pp. 1792-1800 ◽  
Author(s):  
Cang Shi-Jian ◽  
Chen Zeng-Qiang ◽  
Wu Wen-Juan

2007 ◽  
Vol 361 (1-2) ◽  
pp. 78-86 ◽  
Author(s):  
Tiegang Gao ◽  
Guanrong Chen ◽  
Zengqiang Chen ◽  
Shijian Cang

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Li Xiong ◽  
Yan-Jun Lu ◽  
Qi-Meng Zhang ◽  
Zhi-Yu Zhang

An improved Lorenz chaotic system is proposed, making it into a circuit which is easy to be implemented by using some basic electronic components. The antisynchronization error systems can be asymptotically stabilized at the origin with three different methods which are proposed to control the improved Lorenz system. Theoretical analyses and simulation results are given to demonstrate the feasibility and effectiveness of these proposed schemes. Then the hardware circuit for the proposed Lorenz system is implemented by repeated optimization design. Experimental results show that the circuit has good comprehensive performance.


2013 ◽  
Vol 62 (14) ◽  
pp. 140503
Author(s):  
Jia Hong-Yan ◽  
Chen Zeng-Qiang ◽  
Xue Wei

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Chunyan Han ◽  
Simin Yu ◽  
Guangyi Wang

Another approach is developed for generating two-wing hyperchaotic attractor, four-wing chaotic attractor, and high periodic orbits such as period-14 from a sinusoidally driven based canonical Lorenz system. A sinusoidal function controller is introduced into a 3D autonomous Lorenz system, so that the abovementioned various hyperchaotic attractors, chaotic attractors, and high periodic orbits can be obtained, respectively, by adjusting the frequency of the sine function. In addition, an analog circuit and a digital circuit are also designed and implemented, with experimental results demonstrated. Both numerical simulations and circuit implementation together show the effectiveness of the proposed systematic methodology.


2020 ◽  
Vol 79 (9) ◽  
pp. 813-827
Author(s):  
H. Li ◽  
X. Lu ◽  
B. Li ◽  
H. Ding ◽  
L. Wang ◽  
...  

2019 ◽  
Vol 29 (14) ◽  
pp. 1950197 ◽  
Author(s):  
P. D. Kamdem Kuate ◽  
Qiang Lai ◽  
Hilaire Fotsin

The Lorenz system has attracted increasing attention on the issue of its simplification in order to produce the simplest three-dimensional chaotic systems suitable for secure information processing. Meanwhile, Sprott’s work on elegant chaos has revealed a set of 19 chaotic systems all described by simple algebraic equations. This paper presents a new piecewise-linear chaotic system emerging from the simplification of the Lorenz system combined with the elegance of Sprott systems. Unlike the majority, the new system is a non-Shilnikov chaotic system with two nonhyperbolic equilibria. It is multiplier-free, variable-boostable and exclusively based on absolute value and signum nonlinearities. The use of familiar tools such as Lyapunov exponents spectra, bifurcation diagrams, frequency power spectra as well as Poincaré map help to demonstrate its chaotic behavior. The novel system exhibits inverse period doubling bifurcations and multistability. It has only five terms, one bifurcation parameter and a total amplitude controller. These features allow a simple and low cost electronic implementation. The adaptive synchronization of the novel system is investigated and the corresponding electronic circuit is presented to confirm its feasibility.


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