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
  • [31] Non-periodic explicit homogenization and reduction of dimension: the linear case
    Gustafsson, B
    Mossino, J
    IMA JOURNAL OF APPLIED MATHEMATICS, 2003, 68 (03) : 269 - 298
  • [32] Comparison of Poincare Normal Forms and Floquet Theory for Analysis of Linear Time Periodic Systems
    Subramanian, Susheelkumar C.
    Redkar, Sangram
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2021, 16 (01):
  • [33] Periodic motions of linear impact oscillators via the successor map
    Qian, DB
    Torres, PJ
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 36 (06) : 1707 - 1725
  • [34] Erratum to: "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, 133 (133)
  • [35] Noise destroys the coexistence of periodic orbits of a piecewise linear map
    Wang Can-Jun
    Yang Ke-Li
    Qu Shi-Xian
    CHINESE PHYSICS B, 2013, 22 (03)
  • [36] Noise destroys the coexistence of periodic orbits of a piecewise linear map
    王参军
    杨科利
    屈世显
    Chinese Physics B, 2013, 22 (03) : 209 - 212
  • [37] Explicit calculation of Point Spread Function of optical system
    Miks, Antonin
    Pokorny, Petr
    OPTIK, 2021, 239
  • [38] COMPLICATED POINCARE HALF-MAPS IN A LINEAR-SYSTEM
    UEHLEKE, B
    ROSSLER, OE
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1983, 38 (10): : 1107 - 1113
  • [39] REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM
    Kim, Dohan
    Shin, Jong Son
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (04) : 933 - 942
  • [40] CALCULATION OF A SYSTEM OF INFINITE BEAMS WITH A PERIODIC WIDTH
    RAKOV, AF
    MEDOVNIK, MI
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1980, (05): : 57 - 61
12345