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,
Srinagar, Jammu and Kashmir 190006, India
e-mail: darmrafiq.ku@gmail.com

Nasir Ali Kant

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

Farooq Ahmad Khanday

Department of Electronics and
Instrumentation Technology,
University of Kashmir,
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.

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Fig. 3

OTA-based FLF structure

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Fig. 4

CMOS-OTA structure

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Fig. 5

OTA-based multiplier

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Fig. 2

FLF structure of fractional-order lossless integrator

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Fig. 1

Block diagram of fractional-order Newton–Leipnik system

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Fig. 10

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

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Fig. 11

Block diagram of chaotic secure message communication system

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Fig. 12

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

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Fig. 13

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

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Fig. 7

Phase response of fractional-order lossless integrator

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Fig. 8

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

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Fig. 9

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



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