The problem of the inverse Lyapunov exponent and its applications

被引：3

作者：

Lawnik, Marcin ^{[1
]}

机构：

[1] Silesian Tech Univ, Fac Appl Math, Kaszubska 23, PL-44100 Gliwice, Poland

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 06期

关键词：

Lyapunov exponent; piecewise linear map; inverse problem; IMAGE ENCRYPTION; TENT MAP; STEFAN PROBLEM; CHAOS; CRYPTOGRAPHY; SYSTEM;

D O I：

10.15388/NA.2018.6.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the inverse Lyapunov exponent was formulated and solved, involving to find such chaotic transformation for which the value of the Lyapunov exponent is given in advance. The solution procedure was presented by a numerical example. Furthermore, applications of the discussed model in chaos based cryptography were discussed.

引用

页码：951 / 960

页数：10