Chaotic maps derived from trajectory data

被引:2
|
作者
Boyarsky, A [1 ]
Góra, P [1 ]
机构
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada
关键词
D O I
10.1063/1.1445437
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We assume that we have the following information from observed trajectory data about a discrete time dynamical process: (1) a rough graph of the phase plot, (2) the probability density function and (3) the metric entropy. We describe a method for constructing a nonlinear map whose graph is "within" the rough graph of the phase plot, and which has the observed probability density function and entropy. (C) 2002 American Institute of Physics.
引用
收藏
页码:42 / 48
页数:7
相关论文
共 50 条
  • [31] Disease Trajectory Maps
    Schulam, Peter
    Arora, Raman
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 29 (NIPS 2016), 2016, 29
  • [32] Automatic Generation of Road Maps from Low Quality GPS Trajectory Data via Structure Learning
    Huang, Jincai
    Deng, Min
    Tang, Jianbo
    Hu, Shuling
    Liu, Huimin
    Wariyo, Sembeto
    He, Jinqiang
    IEEE ACCESS, 2018, 6 : 71965 - 71975
  • [33] Topological properties of Lorenz maps derived from unimodal maps
    Anusic, Ana
    Bruin, Henk
    Cinc, Jernej
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (08) : 1174 - 1191
  • [34] MAPS OF F0F2 DERIVED FROM OBSERVATIONS AND THEORETICAL DATA
    RUSH, CM
    POKEMPNER, M
    ANDERSON, DN
    PERRY, J
    STEWART, FG
    REASONER, R
    RADIO SCIENCE, 1984, 19 (04) : 1083 - 1097
  • [35] Ranks derived from multilinear maps
    Carlini, Enrico
    Kleppe, Johannes
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (08) : 1999 - 2004
  • [36] TWELVE MONTHLY MAPS OF GROUND ALBEDO PARAMETERS DERIVED FROM MODIS DATA SETS
    Blanc, P.
    Gschwind, B.
    Lefevre, M.
    Wald, L.
    2014 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM (IGARSS), 2014,
  • [37] Potential for downscaling soil moisture maps derived from spaceborne imaging radar data
    Crow, WT
    Wood, EF
    Dubayah, R
    JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 2000, 105 (D2) : 2203 - 2212
  • [38] ON PARTIAL MAPS DERIVED FROM FLOWS
    Suda, Tomoharu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (11): : 5881 - 5904
  • [39] Design of Maximum Length Pseudochaotic Sequences Derived from Discretized 1-D Chaotic Maps and Their Autocorrelation Properties
    Yoshioka, Daisaburo
    Tsuneda, Akio
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2011, E94A (06) : 1408 - 1416
  • [40] On the FPGA Implementation of Random Number Generators from Chaotic Maps
    Torres-Perez, Esteban
    Gerardo de la Fraga, Luis
    Tlelo-Cuautle, Esteban
    Leon-Salas, Walter D.
    PROCEEDINGS OF THE 2017 IEEE XXIV INTERNATIONAL CONFERENCE ON ELECTRONICS, ELECTRICAL ENGINEERING AND COMPUTING (INTERCON), 2017,