user

A simple method to reveal the parameters of the Lorenz system

被引：27
|
作者：
Stojanovski, T [1 ]
Kocarev, L [1 ]
Parlitz, U [1 ]
机构：
[1] UNIV GOTTINGEN, DRITTES PHYS INST, D-37073 GOTTINGEN, GERMANY
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1996年 / 6卷 / 12B期
关键词：
D O I：
10.1142/S0218127496001715
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we describe a simple method to reveal the parameters of the Lorenz system from time series of the x(1) or x(2) variable of the Lorenz system. The method is numerically tractable and extremely simple to apply. Furthermore, the method breaks secure communication systems like chaotic masking, chaos switching, and chaos modulation if they are based on the Lorenz system.
引用
收藏
页码：2645 / 2652
页数：8
相关论文
共 50 条
  • [21] Accuracy of the Adomian decomposition method applied to the Lorenz system
    Hashim, I
    Noorani, MSM
    Ahmad, R
    Bakar, SA
    Ismail, ES
    Zakaria, AM
    CHAOS SOLITONS & FRACTALS, 2006, 28 (05) : 1149 - 1158
  • [22] PHASE DESCRIPTION METHOD TO TIME AVERAGES IN THE LORENZ SYSTEM
    KOGA, S
    PROGRESS OF THEORETICAL PHYSICS, 1986, 76 (02): : 335 - 355
  • [23] Homotopic mapping method for solving a class of Lorenz system
    Mo, Jia-Qi
    Lin, Wan-Tao
    Wuli Xuebao/Acta Physica Sinica, 2008, 57 (11): : 6694 - 6698
  • [24] Control Lorenz System with Vibration Estimation with Averaging Method
    Zhou Chun
    ADVANCES IN MECHATRONICS TECHNOLOGY, 2011, 43 : 36 - 39
  • [25] Homotopy analysis method for solving fractional Lorenz system
    Alomari, A. K.
    Noorani, M. S. M.
    Nazar, R.
    Li, C. P.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) : 1864 - 1872
  • [26] Geometric method for forming periodic orbits in the Lorenz system
    Nicholson, S. B.
    Kim, Eun-jin
    PHYSICA SCRIPTA, 2016, 91 (04)
  • [27] Homotopic mapping method for solving a class of Lorenz system
    Mo Jia-Qi
    Lin Wan-Tao
    ACTA PHYSICA SINICA, 2008, 57 (11) : 6694 - 6698
  • [28] A Simple Method for Measuring Basic Parameters of the CoalMethane System under Mining Conditions
    Skoczylas, N.
    Wierzbicki, M.
    Kudasik, M.
    JOURNAL OF MINING SCIENCE, 2018, 54 (03) : 522 - 533
  • [29] A simple method to extract the parameters of the single-diode model of a PV system
    El Tayyan, Ahmed A.
    TURKISH JOURNAL OF PHYSICS, 2013, 37 (01): : 121 - 131
  • [30] COMPOSITION OF LORENZ GROUP PARAMETERS
    FEDOROV, FI
    DOKLADY AKADEMII NAUK SSSR, 1962, 143 (01): : 56 - &
12345