Explicit Calculation of the Poincare Map of a Linear Periodic System

被引：1
|
作者：
Mironenko, V., I [1 ]
Mironenko, V. V. [1 ]
机构：
[1] Franc Skorina Gomel State Univ, Gomel 246019, BELARUS
来源：
DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 02期
关键词：
D O I：
10.1134/S0012266121020075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a linear periodic system of differential equations, we indicate a method permitting one to find a matrix similar to the matrix of the Poincare map in closed form.
引用
收藏
页码：182 / 188
页数：7
相关论文
共 50 条
  • [21] AN APPLICATION OF THE POINCARE MAP TO THE STABILITY OF NON-LINEAR NORMAL-MODES
    MONTH, LA
    RAND, RH
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1980, 47 (03): : 645 - 651
  • [22] PERIODIC POINTS OF A MAP OF A SYSTEM OF INTERVALS
    BOGATYI, SA
    SHAVGULIDZE, ET
    MATHEMATICAL NOTES, 1988, 43 (3-4) : 210 - 219
  • [23] CALCULATION OF POINCARE INDEX
    TARKHANOV, NN
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1984, (09): : 47 - 50
  • [24] A periodic map for linear barycentric rational trigonometric interpolation
    Berrut, Jean-Paul
    Elefante, Giacomo
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 371
  • [25] Design of an explicit expression of the Poincare map for the passive dynamic walking of the compass-gait biped model
    Znegui, Wafa
    Gritli, Hassene
    Belghith, Safya
    CHAOS SOLITONS & FRACTALS, 2020, 130
  • [26] Poincare Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe
    He, Yefeng
    Xing, Yepeng
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [27] POINCARE MAP FOR SCATTERING STATES
    JUNG, C
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08): : 1345 - 1353
  • [28] Qualitative Studies of a Poincare Map
    El-Metwally, H.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2006, 6 (D06): : 101 - 109
  • [29] The Poincare-Nekhoroshev map
    Gaeta, G
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 (01) : 51 - 64
  • [30] Nested Barycentric Coordinate System as an Explicit Feature Map
    Gottlieb, Lee-Ad
    Kaufman, Eran
    Kontorovich, Aryeh
    Nivasch, Gabriel
    Pele, Ofir
    24TH INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS (AISTATS), 2021, 130 : 766 - +
12345