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Title: Synchronization and an application of a novel fractional order King Cobra chaotic system

Abstract

In this paper, we design a new three dimensional King Cobra face shaped fractional order chaotic system. The multi-scale synchronization scheme of two fractional order chaotic systems is described. The necessary conditions for the multi-scale synchronization of two identical fractional order King Cobra chaotic systems are derived through feedback control. A new cryptosystem is proposed for an image encryption and decryption by using synchronized fractional order King Cobra chaotic systems with the supports of multiple cryptographic assumptions. The security of the proposed cryptosystem is analyzed by the well known algebraic attacks. Numerical simulations are given to show the effectiveness of the proposed theoretical results.

Authors:
;  [1];  [2]
  1. Department of Mathematics, Gandhigram Rural Institute‐Deemed University, Gandhigram 624 302, Tamilnadu (India)
  2. Faculty of Science, Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur (Malaysia)
Publication Date:
OSTI Identifier:
22351025
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; COMPUTERIZED SIMULATION; CONTROL; CRYPTOGRAPHY; FEEDBACK; IMAGES; SECURITY; SYNCHRONIZATION

Citation Formats

Muthukumar, P., E-mail: muthukumardgl@gmail.com, Balasubramaniam, P., E-mail: balugru@gmail.com, and Ratnavelu, K., E-mail: kuru052001@gmail.com. Synchronization and an application of a novel fractional order King Cobra chaotic system. United States: N. p., 2014. Web. doi:10.1063/1.4886355.
Muthukumar, P., E-mail: muthukumardgl@gmail.com, Balasubramaniam, P., E-mail: balugru@gmail.com, & Ratnavelu, K., E-mail: kuru052001@gmail.com. Synchronization and an application of a novel fractional order King Cobra chaotic system. United States. doi:10.1063/1.4886355.
Muthukumar, P., E-mail: muthukumardgl@gmail.com, Balasubramaniam, P., E-mail: balugru@gmail.com, and Ratnavelu, K., E-mail: kuru052001@gmail.com. Mon . "Synchronization and an application of a novel fractional order King Cobra chaotic system". United States. doi:10.1063/1.4886355.
@article{osti_22351025,
title = {Synchronization and an application of a novel fractional order King Cobra chaotic system},
author = {Muthukumar, P., E-mail: muthukumardgl@gmail.com and Balasubramaniam, P., E-mail: balugru@gmail.com and Ratnavelu, K., E-mail: kuru052001@gmail.com},
abstractNote = {In this paper, we design a new three dimensional King Cobra face shaped fractional order chaotic system. The multi-scale synchronization scheme of two fractional order chaotic systems is described. The necessary conditions for the multi-scale synchronization of two identical fractional order King Cobra chaotic systems are derived through feedback control. A new cryptosystem is proposed for an image encryption and decryption by using synchronized fractional order King Cobra chaotic systems with the supports of multiple cryptographic assumptions. The security of the proposed cryptosystem is analyzed by the well known algebraic attacks. Numerical simulations are given to show the effectiveness of the proposed theoretical results.},
doi = {10.1063/1.4886355},
journal = {Chaos (Woodbury, N. Y.)},
number = 3,
volume = 24,
place = {United States},
year = {Mon Sep 01 00:00:00 EDT 2014},
month = {Mon Sep 01 00:00:00 EDT 2014}
}