INDIAN JOURNAL OF SCIENCE AND TECHNOLOGY
RESEARCH ARTICLE
OPEN ACCESS
Received: 08.06.2021
Accepted: 20.07.2021
Published: 24.08.2021
Citation: Singh PP (2021) A Novel
Chaotic System with Wide Spectrum,
its Synchronization, Circuit Design
and Application to Secure
Communication. Indian Journal of
Science and Technology 14(28):
2351-2367. https://doi.org/
10.17485/IJST/v14i28.1035
∗
Corresponding author.
piyushpratapsingh@gmail.com
Funding: TEQIP-III Minor Research
Grant, National Institute of
Technology Meghalaya, India.
Sanctioned Project Ref. No.
NITMGH/TEQIP-III/MP/2019-20/269
Competing Interests: None
Copyright: © 2021 Singh. This is an
open access article distributed
under the terms of the Creative
Commons Attribution License, which
permits unrestricted use,
distribution, and reproduction in
any medium, provided the original
author and source are credited.
Published By Indian Society for
Education and Environment (iSee)
ISSN
Print: 0974-6846
Electronic: 0974-5645
A Novel Chaotic System with Wide
Spectrum, its Synchronization, Circuit
Design and Application to Secure
Communication
Piyush Pratap Singh
1∗
1 Department of Electrical Engineering, NIT Meghalaya, Laitumkhrah, Shillong, 793003,
Meghalaya, India
Abstract
Objective: To investigate a novel chaotic system with unique features, its
synchronization using nonlinear active control, analog circuit design and
application to secure communication. Methods/Analysis: Dynamical tools
such as dissipative analysis, instability of equilibrium points, sensitivity
to initial conditions, 0-1 test, recurrence plot, Poincare map, Lyapunov
exponents, Lyapunov dimension, frequency spectrum and basin of attraction.
Synchronization is achieved using modified nonlinear active control technique
and analog circuit design, implementation is done in NI Multisim platform.
MATLAB and Multisim results are presented to meet the adequate verification
of theoretical approach. Findings: A three-dimensional chaotic system with
only two nonlinear terms, three parameters and a total of eight terms are
proposed. The proposed system has three saddle focus type equilibria. The
proposed system is topologically different from Lorenz’s and Rossler’s, Lu’s,
Chen’s, and Liu’s families. Such dynamic systems are very few in the literature
as per authors best knowledge. The system has basin of chaotic attractors for
which first Lyapunov exponent ranges between 2.5 to 3. Frequency spectrum
and large positive Lyapunov exponent result comparatively large bandwidth
of the proposed systems against some well-known chaotic systems. Chaos,
periodic and stable behaviors are obtained by altering the system parameters.
Novelty/Application: The proposed three-dimensional chaotic system has
significant chaotic behavior and broader spectrum than the six chaotic systems
like Lorenz, Rossler, Lu, Chen, BG and Liu systems. Unlike the conventional
active control approach, the proposed nonlinear active control does not result
decoupled error dynamics. The system has significantly large bandwidth which
is helpful in the masking of message signals and enhances the security of
transmitted signals during communication.
Keywords: Analog circuit design; Chaos; Chaotic system; Chaosbased
communication; Chaos synchronization; Nonlinear active control
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