The tricomi problem for the Shimizu-Morioka dynamical system

被引:33
|
作者
Leonov, G. A. [1 ]
机构
[1] St Petersburg State Univ, St Petersburg 199034, Russia
关键词
Saddle Point; Unstable Manifold; DOKLADY Mathematic; Stable Manifold; Modern Interpretation;
D O I
10.1134/S1064562412060324
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:850 / 853
页数:4
相关论文
共 50 条
  • [11] Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu-Morioka System
    Leonov, Gennady A.
    Alexeeva, Tatyana A.
    Kuznetsov, Nikolay V.
    ENTROPY, 2015, 17 (07) : 5101 - 5116
  • [12] Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system
    Capinski, Maciej J.
    Turaev, Dmitry
    Zgliczynski, Piotr
    NONLINEARITY, 2018, 31 (12) : 5410 - 5440
  • [13] STABILITY AND BIFURCATION ANALYSIS FOR A DELAYED SHIMIZU-MORIOKA MODEL
    Zhang, Xin
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 585 - 598
  • [14] Analytical search for homoclinic bifurcations in the Shimizu-Morioka model
    Tigan, G.
    Turaev, D.
    PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (12) : 985 - 989
  • [15] Anti-control of Hopf bifurcation in the Shimizu-Morioka system using an explicit criterion
    Yang, Yi
    Liao, Xiaofeng
    Dong, Tao
    NONLINEAR DYNAMICS, 2017, 89 (02) : 1453 - 1461
  • [16] Bifurcation analysis and chaos control in Shimizu-Morioka chaotic system with delayed feedback
    El-Dessoky, M. M.
    Yassen, M. T.
    Aly, E. S.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 283 - 297
  • [17] Bursting Oscillations in Shimizu-Morioka System with Slow-Varying Periodic Excitation
    Ma, Xindong
    Cao, Shuqian
    SHOCK AND VIBRATION, 2018, 2018
  • [18] Analysis and electronic circuit implementation of an integer and fractional-order Shimizu-Morioka system
    Tagne, F. Kapche
    Kom, G. Honore
    Tingue, M. Motchongom
    Tamba, V. Kamdoum
    Talla, P. Kisito
    REVISTA MEXICANA DE FISICA, 2021, 67 (06)
  • [19] Strange Nonchaotic Attractors in Memristor-Based Shimizu-Morioka Oscillator
    Durairaj, Premraj
    Kanagaraj, Sathiyadevi
    Kathamuthu, Thamilmaran
    Rajagopal, Karthikeyan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (09):
  • [20] Lorenz chaotic system generated from Shimizu-Morioka system or Finance system: Differential geometric approach
    Zhang Duan
    Shi Jia-Qin
    Sun Ying
    Yang Xu-Hua
    Ye Lei
    ACTA PHYSICA SINICA, 2019, 68 (24)