Generation and Circuit Implementation of Multi-Scroll Chaotic Attractors with Controllable Direction

Xiao Wen Luo; Chun Hua Wang

doi:10.4028/www.scientific.net/AMM.513-517.4559

Paper Titles

A Service-Oriented Spatio-Temporal Data Model of the Marine Environment
p.4543

A Safety Evaluation Method of Military Aircraft Based on Projection Pursuit Method
p.4547

A High Resolution Single Slope ADC with Low Operation Speed for Uncooled Infrared Focal Plane Array
p.4551

A 4-Bit 5 GS/s Current Steering DAC Integrated Circuit
p.4555

Generation and Circuit Implementation of Multi-Scroll Chaotic Attractors with Controllable Direction
p.4559

Research on Sensitive Ports under the Action of Different ESD Initial Injected Voltage of Typical High-Frequency Low-Noise Silicon Bipolar Transistors
p.4563

Research on Indirect Charging Radio Frequency Explosive Magnetic Flux Compression Generator
p.4567

A 8GHz Differential Comparator for Ultra High Speed ADC in 90nm CMOS Technology
p.4572

Design of a Low Power Multi-Channel 10Bit SAR ADC
p.4576

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 513-517Generation and Circuit Implementation of...

Generation and Circuit Implementation of Multi-Scroll Chaotic Attractors with Controllable Direction

Abstract:

An approach for generating multi-scroll chaotic attractors with controllable direction in one plane is proposed. Firstly, an appropriate nonlinear function is selected to control the number and direction of multi-scroll chaotic attractors in the three-order Jerk system. Then, we add new control function to Jerk system and observe Lyapunov exponent spectrum of relative coefficient and the change of equilibrium points. Different multi-scroll chaotic attractors with controllable direction are generated by adjusting the coefficient of the control function in a plane. The implementation of circuit verifies the feasibility of this method.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 513-517)

Pages:

4559-4562

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.513-517.4559

Citation:

Cite this paper

Online since:

February 2014

Authors:

Xiao Wen Luo*, Chun Hua Wang

Keywords:

Circuit Implementation, Control Function, Controllable Direction, Jerk System, Lyapunov Exponent Spectrum, Multi-Scroll Chaotic Attractors

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Wang Pei, Lü Jin-hu, Ogorzalek Maciej. J. Global relative parameter sensitivities of the feed-forward loops in genetic networks. Neurocomputing, 2012, 78(1): 155-165.

DOI: 10.1016/j.neucom.2011.05.034

Google Scholar

[2] Suykens Johan A. K, Vandewalle Joos. Generation of n-double scrolls (n=1; 2; 3; 4; . . . ). IEEE Transactions on Circuits and Systems I. 1993, 40(11): 861-867.

DOI: 10.1109/81.251829

Google Scholar

[3] Mansingka Abhinav. S, Radwan Ahmed. G, Salama Khaled. N. Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators. IEEE 55th International Midwest Symposium on Circuits and Systems (Mwscas), 2012. 1180-1183.

DOI: 10.1109/mwscas.2012.6292236

Google Scholar

[4] Gui Zhi-fang, Wu Xiao-feng, Chen Yun. Global Synchronization of Multi-Scroll Saturated Chaotic Systems via Single-State Linear Feedback Control. International Journal of Modern Physics B 2013, 27(05).

DOI: 10.1142/s0217979213500070

Google Scholar

[5] Tang Zi-long, Yu Si-min. Multi-Scroll Chaotic System Based on Even-Symmetric Step-Wave Sequence Control. Applied Mechanics and Materials, 2013, 340: 760-766.

DOI: 10.4028/www.scientific.net/amm.340.760

Google Scholar

[6] Wang Chun-hua, Yin Jin-wen, Lin Yuan. Design and realization of grid multi-scroll chaotic circuit based on current conveyers[J]. Acta Physica. Sinica, 2012, 61(21): 210507-1- 210507-8.

DOI: 10.7498/aps.61.210507

Google Scholar

[7] Sanchez-Lopez C, Munoz-Pacheco J M, Tlelo-Cuautle E, et al. On the trade-off between the number of scrolls and the operating frequency of the chaotic attractors. IEEE International Symposium on Circuits and Systems (Iscas), 2011. 2950-2953.

DOI: 10.1109/iscas.2011.5938210

Google Scholar