Degradation Analysis of Chaotic Systems and their Digital Implementation in Embedded Systems

Complexity 2019:1-22 (2019)

Authors
Abstract
Digital implementation of chaotic systems has attracted increasing attention from researchers due to several applications in engineering, e.g., in areas as cryptography and autonomous mobile robots, where the properties of chaotic systems are strongly related. The CSs in the continuous version need to be discretized where chaotic degradation must be analyzed to guarantee preservation of chaos. In this paper, we present a degradation analysis of five three-dimensional CSs and the necessary conditions to implement the discretized versions of Lorenz, Rössler, Chen, Liu and Chen, and Méndez-Arellano-Cruz-Martínez CSs. Analytical and numerical analyses of chaos degradation are conducted by using the time series method; the maximum discrete step size and the Lyapunov Exponents are computed by using the Euler, Heun, and fourth-order Runge–Kutta numerical algorithms. We conducted comparative studies of performance based on time complexity of the five proposed CSs in their DVs by using four embedded systems based on three families of Microchip microcontrollers 8-bit PIC16F, 16-bit dsPIC33FJ, and 32-bit PIC32MZ and a Field Programmable Gate Array. Based on the results, the intervals at control parameters to guarantee chaos are proposed, which improves the performance characteristics of the five proposed CSs in their DVs based on digital applications.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1155/2019/9863982
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 48,857
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Deterministisches Chaos: Einige Wissenschaftstheoretisch Interessante Aspekte. [REVIEW]Klaus Jürgen Düsberg - 1995 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 26 (1):11 - 24.
Computable Chaos.John A. Winnie - 1992 - Philosophy of Science 59 (2):263-275.
Nonseparability and Quantum Chaos.Fred Kronz - 1998 - Philosophy of Science 65 (1):50-75.

Analytics

Added to PP index
2019-12-05

Total views
2 ( #1,317,429 of 2,309,550 )

Recent downloads (6 months)
2 ( #522,442 of 2,309,550 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature