Dynamics of a Strengthened Chaotic System and Its Circuit Implementation

SUN Kehui; LIU Xuan; ZHU Congxu

Article Contents

Article Navigation > Chinese Journal of Electronics > 2014 > 23(2): 353-356

SUN Kehui, LIU Xuan, ZHU Congxu, “Dynamics of a Strengthened Chaotic System and Its Circuit Implementation,” Chinese Journal of Electronics, vol. 23, no. 2, pp. 353-356, 2014,

Citation:

SUN Kehui, LIU Xuan, ZHU Congxu, “Dynamics of a Strengthened Chaotic System and Its Circuit Implementation,” Chinese Journal of Electronics, vol. 23, no. 2, pp. 353-356, 2014,

SUN Kehui, LIU Xuan, ZHU Congxu, “Dynamics of a Strengthened Chaotic System and Its Circuit Implementation,” Chinese Journal of Electronics, vol. 23, no. 2, pp. 353-356, 2014,

Citation:

SUN Kehui, LIU Xuan, ZHU Congxu, “Dynamics of a Strengthened Chaotic System and Its Circuit Implementation,” Chinese Journal of Electronics, vol. 23, no. 2, pp. 353-356, 2014,

PDF( 317 KB)

Dynamics of a Strengthened Chaotic System and Its Circuit Implementation

School of Physics and Electronics, Central South University, Changsha 410083, China

Funds: This work is supported by the National Natural Science Foundation of China (No.61161006 and No.61073187), and the SRF for ROCS, SEM.

Received Date: 2011-09-01
Rev Recd Date: 2012-05-01
Publish Date: 2014-04-05

Abstract

Abstract

To strengthen a chaotic system, a state feedback controller is applied to generate hyperchaotic behaviors based on the simplified Lorenz system, and a coordinate transformation is used for converting topological structure of the hyperchaotic system from two wings to four wings. Complex dynamics of the hyperchaotic and four-wing attractor system are analyzed and verified by Lyapunov exponent spectrums, bifurcation diagrams, phase portraits, Poincaré sections and circuit realization. The circuit experiment results are agreed well with the simulation results, and it lays a good foundation for the chaotic secure communication.
- Hyperchaos,
- Multi-wing attractor,
- Simplified Lorenz system,
- Circuit implementation

FullText(HTML)

References(21)

References

Di He, "Estimating signal parameters in strong clutter using SVM-based chaos synchronization", Chin. J. Elec., Vol.20, No.1, pp.91-97, 2011.

Guosi Hu, "Generating hyperchaotic attractors with three positive Lyapunov exponents via state feedback control", Int. J. Bifurc. Chaos, Vol.19, No.2, pp.651-660, 2009.

Guosi Hu and Shiqin Jiang, "Generating hyperchaotic attractors via approximate time delayed state feedback", Int. J. Bifurcat. Chaos, Vol.18, No.11, pp.3485-3494, 2008.

Silvano Cincotti and Andrea Teglio, "A systematic approach to bi-directionally nonlinearly coupled systems design for the generation of complex dynamical behaviors", IEEE Trans. Circuits Syst. I, Vol.54, No.6, pp.1340-1347, 2007.

Yuxia Li, Guanrong Chen and Wallace K.S. Tang, "Controlling a unified chaotic system to hyprechaotic", IEEE Trans. Circuits Syst. II, Vol.52, No.4, pp.204-207, 2005.

Simin Yu and Zhiding Yu, "A novel fifth-order hyperchaotic circuit and its research", Acta Phys. Sin., Vol.57, No.11, pp.6859-6867, 2008. (in Chinese)

Yangzheng Liu and Changsheng Jiang, "Building and analysis of properties of a class of correlative and switchable hyperchaotic system", Acta Phys. Sin., Vol.58, No.2, pp.771-778, 2009. (in Chinese)

Simin Yu, "Circuit implementation for generating threedimensional multi-scroll chaotic attractors via triangular wave series", Acta Phys. Sin., Vol.54, No.4, pp.1500-1509, 2005. (in Chinese)

Guoyuan Qi, Guanrong Chen, Michael Antonie van Wyk, Barend Jacobus van Wyk and Yuhui Zhang, "A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system", Chaos, Solitons and Fractals, Vol.38, pp.705-721, 2008.

Sara Dadras and Hamid Reza Momeni, "Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system", Physics Letters A, Vol.374, pp.1368-1373, 2010.

Yu Zhang, Simin Yu and Minghua Liu, "Generating multi-scroll hyperchaotic attractors based on FPGA technology", J. Circuits Syst., Vol.12, No.1, pp.39-43, 2007.

Wujie Zhou, Simin Yu andWei Xu, "Study and hardware implementation of n × m-scroll chaotic attractors", Chin. J. Quan. Elec., Vol.26, No.6, pp.715-721, 2009.

Bocheng Bao, Zhong Liu, Jianping Xu and Lei Zhu, "Generation of multi-scroll hyperchaotic attractor based on Colpitts oscillator model", Acta Phys. Sin., Vol.59, No.3, pp.1540-1548, 2010. (in Chinese)

Sara Dadras and Hamid Reza Momeni, "Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system", Physics Letters A, Vol.374, pp.1368-1373, 2010.

Simin Yu, Wallace K.S. Tang, Jinhu Lü and Guanrong Chen, "Design and implementation of multi-wing butterfly chaotic attractors via Lorenz-type systems", Int. J. Bifurc. Chaos, Vol.20, No.1, pp.29-41, 2010.

M.E. Yalcin, J.A.K. Suykens and J. Vandewalle, Cellular Neural Networks, Multi-Scroll Chaos and Synchronization, World Scientific, Singapore, 2005.

Guosi Hu, "A family of hyperchaotic systems with four-wing attractors", Acta Phys. Sin., Vol.58, No.6, pp.3734-3741, 2009. (in Chinese)

Kehui Sun and J.C. Sprott, "Dynamics of a simplified Lorenz system", Int. J. Bifurc. Chaos, Vol.19, No.4, pp.1357-1366, 2009.

Luping Fang, Hong Zhang, Jianggang Yang and Qinye Tong, "On chaotic circuit and ordered space", Chin. J. Elec., Vol.17, No.1, pp.24-28, 2008.

Wenjuan Wu, Zengqiang Chen and Zhuzhi Yuan, "The evolution of a novel four-dimensional autonomous system: Among 3-torus, limit cycle, 2-torus, chaos and hyperchaos", Chaos, Solitons & Fractals, Vol.19, No.5, pp.2340-2356, 2009.

Relative Articles

Supplements(0)

Cited By

Proportional views