On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern-Reference-Cited by-同舟云学术

On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern

Published:2017-01-20 Issue:4 Volume:12 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Nategh Mehdi¹,Baleanu Dumitru²,Reza Valinejad Mohammad³

Affiliation:

1. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla MO, 65401 e-mail:

2. Department of Mathematics, Çankaya University, Ankara 06790, Turkey e-mail:

3. Arsh Electronic Company, Babol, Iran e-mail:

Abstract

In this work, a class of kicked systems perturbed with an irregular kicks pattern is studied and formation of a chaos in the senses of Devaney and Li–Yorke in the corresponding discretized system is investigated. Beside a discussion on chaotic stability, an example is presented. Then, the existence of a period three orbit of a 2D map which governs a class of dynamic problems on time scales is studied. As an application, a chaotic encryption scheme for a time-dependent plain text with the help of chaos induction in the sense of Li–Yorke is presented.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4035078/6109039/cnd_012_04_041008.pdf

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