0
Technical Brief

Electronic Implementation of Fractional-Order Newton–Leipnik Chaotic System With Application to Communication

[+] Author and Article Information
Mohammad Rafiq Dar

Department of Electronics and
Instrumentation Technology,
University of Kashmir,
Hazratbal,
Srinagar, Jammu and Kashmir 190006, India
e-mail: darmrafiq.ku@gmail.com

Nasir Ali Kant

Department of Electronics and
Instrumentation Technology,
University of Kashmir,
Hazratbal,
Srinagar, Jammu and Kashmir 190006, India
e-mail: nsrknt@gmail.com

Farooq Ahmad Khanday

Department of Electronics and
Instrumentation Technology,
University of Kashmir,
Hazratbal,
Srinagar, Jammu and Kashmir 190006, India
e-mail: farooqkhanday@kashmiruniversity.ac.in

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 22, 2016; final manuscript received April 6, 2017; published online May 15, 2017. Assoc. Editor: Anindya Chatterjee.

J. Comput. Nonlinear Dynam 12(5), 054502 (May 15, 2017) (5 pages) Paper No: CND-16-1510; doi: 10.1115/1.4036547 History: Received October 22, 2016; Revised April 06, 2017

A complementary metal oxide semiconductor-operational transconductance amplifier (CMOS-OTA)-based implementation of fractional-order Newton–Leipnik chaotic system is introduced in this paper. The proposed circuit offers the advantages of electronic tunability of system order and on-chip integration due to MOS only design. The double strange attractor chaotic behavior of the system in consideration for an order of 2.9 has been demonstrated, and effectiveness of this chaotic system in preliminary secure message communication has also been presented. The theoretical predictions of the proposed implementation have been verified by hspice simulator using Austrian Microsystem (AMS) 0.35 μm CMOS process and subsequently compared with matlab simulink results. The power consumption of the system was 103.6 μW for standalone Newton–Leipnik chaotic generator.

FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Lu, J. G. , 2006, “ Chaotic Dynamics of the Fractional-Order Lü System and Its Synchronization,” Phys. Lett. A, 354(4), pp. 305–311. [CrossRef]
Sheu, L. J. , Chen, H. K. , Chen, J. H. , Tam, L. M. , Chen, W. C. , Lin, K. T. , and Kang, Y. , 2008, “ Chaos in Newton–Leipnik System With Fractional Order,” Chaos, Solitons Fractals, 36(1), pp. 98–103. [CrossRef]
Radwan, A. G. , Soliman, A. M. , and Sedeek, A. L. , 2004, “ MOS Realization of the Modified Lorenz Chaotic System,” Chaos, Solitons Fractals, 21(3), pp. 553–561. [CrossRef]
Lu, J. , Chen, G. , Yu, X. , and Leung, H. , 2004, “ Design and Analysis of Multiscroll Chaotic Attractors From Saturated Function Series,” IEEE Trans. Circuits Syst.-I, 51(12), pp. 2476–2490. [CrossRef]
Cafagna, D. , and Grassi, G. , 2003, “ New 3D-Scroll Attractors in Hyperchaotic Chua's Circuit Forming a Ring,” Int. J. Bifurcation Chaos, 13(10), pp. 2889–2903. [CrossRef]
Xiong, L., Lu, Y.-J., Zhang, Y. F., Zhang, X. G., and Gupta, P., 2016, “ Design and Hardware Implementation of a New Chaotic Secure Communication Technique,” PLoS ONE, 11(8), p. e0158348.
Cuomo, K. M. , and Oppenheim, A. V. , 1993, “ Circuit Implementation of Synchronized Chaos With Applications to Communications,” Phys. Rev. Lett., 71(1), pp. 65–68. [CrossRef] [PubMed]
Razminia, A. , and Baleanu, D. , 2013, “ Fractional Hyperchaotic Telecommunication Systems: A New Paradigm,” ASME J. Comput. Nonlinear Dyn., 8(3), p. 031012. [CrossRef]
Wang, S. P. , Lao, S. K. , Chen, H. K. , Chen, J. H. , and Chen, S. Y. , 2013, “ Implementation of the Fractional-Order Chen–Lee System by Electronic Circuit,” Int. J. Bifurcation Chaos, 23(2), p. 1350030.
Jie, L. J. , and Xin, L. C. , 2007, “ Realization of Fractional-Order Liu Chaotic System by Circuit,” Chin. Phys., 16(6), pp. 1586–1590. [CrossRef]
Carlson, G. E. , and Halijack, C. A. , 1964, “ Approximation of Fractional Capacitors (1/S)1/ n by a Regular Newton Process,” IEEE Trans. Circuit Theory, 11(2), pp. 210–213. [CrossRef]
Dar, M. R. , Kant, N. A. , Khanday, F. A. , and Psychalinos, C. , 2016, “ Fractional-Order Filter Design for Ultra-Low Frequency Applications,” IEEE International Conference on Recent Trends in Electronics, Information and Communication Technology (RTEICT), Bangalore, India, May 20–21, Vol. 1, pp. 1727–1730.
Tsirimokou, G. , and Psychalinos, C. , 2014, “ Ultra-Low Voltage Fractional-Order Differentiator and Integrator Topologies: An Application for Handling Noisy ECGs,” Analog Integr. Circuits Signal Process., 81(2), pp. 393–405. [CrossRef]
FOMCON, 2017, “ Overview: Fractional-Order Modeling and Control,” Tallinn University of Technology, Tallinn, Estonia, accessed Apr. 29, 2017, http://fomcon.net/fomcon-toolbox/overview/

Figures

Grahic Jump Location
Fig. 1

Block diagram of fractional-order Newton–Leipnik system

Grahic Jump Location
Fig. 2

FLF structure of fractional-order lossless integrator

Grahic Jump Location
Fig. 3

OTA-based FLF structure

Grahic Jump Location
Fig. 4

CMOS-OTA structure

Grahic Jump Location
Fig. 5

OTA-based multiplier

Grahic Jump Location
Fig. 7

Phase response of fractional-order lossless integrator

Grahic Jump Location
Fig. 8

Vx, Vy, and Vz transient response: (a) matlab and (b) hspice

Grahic Jump Location
Fig. 9

Various matlab projections: (a) x–y, (b) x–z, and (c) y–z

Grahic Jump Location
Fig. 10

Various hspice projections: (a) VxVy, (b) VxVz, and (c) VxVz

Grahic Jump Location
Fig. 11

Block diagram of chaotic secure message communication system

Grahic Jump Location
Fig. 12

Transient responses of transmitted, modulated, and received signals: (a) matlab and (b) hspice

Grahic Jump Location
Fig. 13

Transient responses of received and transmitted signals when order/parameters/initial condition is changed: (a) matlab and (b) hspice

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In