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
来源：
CHAOS | 2002年 / 12卷 / 01期
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
  • [1] Unstable evolution of pointwise trajectory solutions to chaotic maps
    Fox, RF
    CHAOS, 1995, 5 (04) : 619 - 633
  • [2] Mining of Spatiotemporal Trajectory Profiles Derived from Mobility Data
    Dhont, Michiel
    Tsiporkova, Elena
    Gonzalez-Deleito, Nicolas
    2022 IEEE INTERNATIONAL CONFERENCE ON DATA MINING WORKSHOPS, ICDMW, 2022, : 1020 - 1028
  • [3] Automatic Generation and Validation of Road Maps from GPS Trajectory Data Sets
    Li, Hengfeng
    Kulik, Lars
    Ramamohanarao, Kotagiri
    CIKM'16: PROCEEDINGS OF THE 2016 ACM CONFERENCE ON INFORMATION AND KNOWLEDGE MANAGEMENT, 2016, : 1523 - 1532
  • [4] From chaotic maps to encryption schemes
    Kocarev, L
    Jakimoski, G
    Stojanovski, T
    Parlitz, U
    ISCAS '98 - PROCEEDINGS OF THE 1998 INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-6, 1998, : C514 - C517
  • [5] Interactive Visualization of Multivariate Trajectory Data with Density Maps
    Scheepens, Roeland
    Willems, Niels
    van de Wetering, Huub
    van Wijk, Jarke J.
    IEEE PACIFIC VISUALIZATION SYMPOSIUM 2011, 2011, : 147 - 154
  • [6] Road slope information from GPS-derived trajectory data
    Han, SW
    Rizos, C
    JOURNAL OF SURVEYING ENGINEERING-ASCE, 1999, 125 (02): : 59 - 68
  • [7] Road slope information from GPS-derived trajectory data
    Han, Shaowei
    Rizos, Chris
    Journal of Surveying Engineering, 1999, 125 (02): : 59 - 68
  • [8] Facies-proportion maps derived from well production data
    Cullick, AS
    Deutsch, CV
    Wen, XH
    Gouveia, WP
    IN SITU, 1999, 23 (03): : 189 - 221
  • [9] GLOBAL MAGNETIC ANOMALY MAPS DERIVED FROM POGO SPACECRAFT DATA
    LANGEL, RA
    PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1990, 62 (3-4) : 208 - 230
  • [10] Family of chaotic maps from game theory
    Chotibut, Thiparat
    Falniowski, Fryderyk
    Misiurewicz, Michal
    Piliouras, Georgios
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021, 36 (01): : 48 - 63
12345