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BIFURCATION ANALYSIS AND PHASE PORTRAITS OF AN ASYMMETRIC TRIAXIAL GYROSTAT WITH TWO ROTORS
  • ISSN号:1002-0942
  • 期刊名称:Annals of Differential Equations
  • 时间:0
  • 页码:270-275
  • 语言:英文
  • 分类:O17[理学—数学;理学—基础数学]
  • 相关基金:supported by the NNSF of China under Grant No.10872183
  • 相关项目:广义哈密顿系统理论与非线性系统动力学研究
作者: 赵晓华|李卓|
中文摘要:

This paper deals with the bifurcations and phase portraits of an asymmetric triaxial gyrostat with two rotors, which is a 3-dimensional generalized Hamiltonian system with a quadratic Hamiltonian depending on three independent parameters. The number and stability of equilibria are analyzed, and corresponding bifurcation conditions of parameters are obtained. Moreover, by Maple software, all possible phase portraits are plotted out. Except for some planar orbits under particular parametric conditions, genera...

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