On Periodic Motion and Bifurcations in Three-Dimensional Nonlinear Systems

被引:0
|
作者
Martynyuk A.A. [1 ]
Nikitina N.V. [1 ]
机构
[1] Institute of Mechanics, Ukrainian National Academy of Sciences Ukraine, Nesterov Str., 3, Kiev
关键词
Singular Point; Periodic Motion; Initial Perturbation; Coordinate Plane; Characteristic Exponent;
D O I
10.1007/s10958-015-2469-3
中图分类号
学科分类号
摘要
We present geometric conditions for the existence of a closed trajectory with symmetry in three-dimensional nonlinear systems. A generator with quadratic nonlinearity and a Chua circuit are considered as examples. © 2015, Springer Science+Business Media New York.
引用
收藏
页码:593 / 606
页数:13
相关论文
共 50 条
  • [41] Takens-Bogdanov bifurcations of periodic orbits and Arnold's tongues in a three-dimensional electronic model
    Algaba, A
    Merino, M
    Rodríguez-Luis, AJ
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (02): : 513 - 531
  • [42] Secondary bifurcations and localisation in a three-dimensional buckling model
    Ciprian D. Coman
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 2004, 55 : 1050 - 1064
  • [43] The three-dimensional generalized Henon map: Bifurcations and attractors
    Hampton, Amanda E. E.
    Meiss, James D. D.
    CHAOS, 2022, 32 (11)
  • [44] Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium
    Ibre, Jaume
    Messias, Marcelo
    Reinol, Alisson de Carvalho
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (13):
  • [45] Three-dimensional contact structures and bifurcations of surface foliations
    Giroux, E
    INVENTIONES MATHEMATICAE, 2000, 141 (03) : 615 - 689
  • [46] Secondary bifurcations and localisation in a three-dimensional buckling model
    Coman, CD
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2004, 55 (06): : 1050 - 1064
  • [47] Turbulence modeling in three-dimensional stenosed arterial bifurcations
    Banks, J.
    Bressloff, N. W.
    JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 2007, 129 (01): : 40 - 50
  • [48] Bifurcations and chaos in a three-dimensional generalized Henon map
    Zheng, Jingjing
    Wang, Ziwei
    Li, You
    Wang, Jinliang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [49] Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows
    Arroyo, A
    Hertz, FR
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2003, 20 (05): : 805 - 841
  • [50] Control of degenerate Hopf bifurcations in three-dimensional maps
    Wen, GL
    Xu, DL
    Xie, JH
    CHAOS, 2003, 13 (02) : 486 - 494