Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings

被引：0
|
作者：
Zeraoulia Elhadj
J. C. Sprott
机构：
[1] University of Tébessa,Department of Mathematics
[2] University of Wisconsin,Department of Physics
来源：
Frontiers of Physics in China | 2009年 / 4卷
关键词：
three-dimensional quadratic map; chaos; Lyapunov exponent; rigorous formula; 05.45.-a; 05.45.Gg;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper shows that there exist six different cases where it is possible to find rigorously a Lyapunov exponent for three-dimensional quadratic mappings. Some elementary examples are also given and discussed.
引用
收藏
页码：549 / 555
页数：6
相关论文
共 50 条
  • [21] Exponents for three-dimensional simultaneous Diophantine approximations
    Nikolay Moshchevitin
    Czechoslovak Mathematical Journal, 2012, 62 : 127 - 137
  • [22] Exponents for three-dimensional simultaneous Diophantine approximations
    Moshchevitin, Nikolay
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (01) : 127 - 137
  • [23] A three-dimensional explicit preconditioned solver
    Gravvanis, GA
    Lipitakis, EA
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (02) : 111 - 131
  • [24] A three-dimensional chemostat with quadratic yields
    Xuncheng Huang
    Lemin Zhu
    Journal of Mathematical Chemistry, 2005, 38 : 399 - 412
  • [25] A three-dimensional chemostat with quadratic yields
    Huang, XC
    Zhu, LM
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2005, 38 (03) : 399 - 412
  • [26] Three-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators
    Stankevich, Nataliya V.
    Shchegoleva, Natalya A.
    Sataev, Igor R.
    Kuznetsov, Alexander P.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2020, 15 (11):
  • [27] Explicit formulas for obtaining the radiation characteristics of an antenna based on a three-dimensional metallic photonic bandgap structure
    He, SL
    Popov, M
    Qiu, M
    Liao, ZG
    Simovski, C
    MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2001, 29 (06) : 376 - 381
  • [28] Stickiness in three-dimensional volume preserving mappings
    Yi-Sui Sun
    Li-Yong Zhou
    Celestial Mechanics and Dynamical Astronomy, 2009, 103 : 119 - 131
  • [29] Three-Dimensional Quasiconformal Mappings and Axisymmetric Problems
    Yu. D. Shevelev
    Computational Mathematics and Mathematical Physics, 2022, 62 : 1651 - 1663
  • [30] Three-Dimensional Quasiconformal Mappings and Axisymmetric Problems
    Shevelev, Yu D.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (10) : 1651 - 1663
12345