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
收藏
页码：951 / 960
页数：10
相关论文
共 32 条
  • [1] Addabbo T, 2011, STUD COMPUT INTELL, V354, P67
  • [2] Lyapunov exponent for chaotic 1D maps with uniform invariant distribution
    Anikin V.M.
    Arkadaksky S.S.
    Kuptsov S.N.
    Remizov A.S.
    Vasilenko L.P.
    [J]. Bulletin of the Russian Academy of Sciences: Physics, 2008, 72 (12) : 1684 - 1688
  • [3] [Anonymous], 1997, LAWS CHAOS INVARIANT, DOI DOI 10.1007/978-1-4612-2024-4
  • [4] [Anonymous], 2008, P SMCIS 2008
  • [5] Cryptography with chaos
    Baptista, MS
    [J]. PHYSICS LETTERS A, 1998, 240 (1-2) : 50 - 54
  • [6] Spatio-temporal chaos in tubular chemical reactors with the recycle of mass
    Berezowski, M
    [J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (08) : 1197 - 1204
  • [7] Chaotic oscillations of coupled chemical reactors
    Berezowski, Marek
    Dubaj, Daniel
    [J]. CHAOS SOLITONS & FRACTALS, 2015, 78 : 28 - 31
  • [8] Identification of fast-changing signals by means of adaptive chaotic transformations
    Berezowski, Marek
    Lawnik, Marcin
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (02): : 172 - 177
  • [9] Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz
    Biswas, Parthapratim
    Shimoyama, Hironori
    Mead, Lawrence R.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (12)
  • [10] BOHR T, 1988, WSS DIR CON, V4, P194
1234