On approximate representation of periodic motions at a saddle point

被引:4
|
作者
Martynyuk, AA [1 ]
Nikitina, NV [1 ]
机构
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine
关键词
D O I
10.1023/A:1021775901368
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The results of a qualitative analysis of a bistable oscillator are applied to the approximate integration of a system with a closed trajectory about a saddle point.
引用
收藏
页码:1138 / 1144
页数:7
相关论文
共 50 条
  • [1] On Approximate Representation of Periodic Motions at a Saddle Point
    A. A. Martynyuk
    N. V. Nikitina
    International Applied Mechanics, 2002, 38 : 1138 - 1144
  • [2] On the approximate representation of periodical motions in the neighborhood of a singular saddle-type point
    Martynyuk, A.A.
    Nikitina, N.V.
    Prikladnaya Mekhanika, 2002, 38 (09): : 124 - 130
  • [3] Saddle Point Optimization with Approximate Minimization Oracle
    Akimoto, Youhei
    PROCEEDINGS OF THE 2021 GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE (GECCO'21), 2021, : 493 - 501
  • [4] SEPARATRICES OF SADDLE PERIODIC MOTIONS OF PERIODIC SYSTEMS OF SECOND ORDER DIFFERENTIAL EQUATION
    PLISS, VA
    DOKLADY AKADEMII NAUK SSSR, 1971, 197 (02): : 275 - &
  • [5] AN IMPLICIT APPROXIMATE INVERSE PRECONDITIONER FOR SADDLE POINT PROBLEMS
    Le Borne, Sabine
    Ngufor, Che
    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2010, 37 : 173 - 188
  • [6] An implicit approximate inverse preconditioner for saddle point problems
    Borne, Sabine Le
    Ngufor, Che
    Electronic Transactions on Numerical Analysis, 2010, 37 : 173 - 188
  • [8] Bifurcations of periodic motions in systems with homoclinic saddle-focus loop
    Alekseeva, SA
    Shil'nikov, LP
    DIFFERENTIAL EQUATIONS, 1997, 33 (04) : 439 - 446
  • [9] On approximate solutions and saddle point theorems for robust convex optimization
    Xiang-Kai Sun
    Kok Lay Teo
    Jing Zeng
    Xiao-Le Guo
    Optimization Letters, 2020, 14 : 1711 - 1730
  • [10] APPROXIMATE LAGRANGIAN DUALITY AND SADDLE POINT OPTIMALITY IN SET OPTIMIZATION
    Lalitha, C. S.
    Dhingra, Mansi
    RAIRO-OPERATIONS RESEARCH, 2017, 51 (03) : 819 - 831