|
|||||
|
|
Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
|
| Institution: | 1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, Catalonia, Spain;2. Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal;1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan, 610031, PR China;2. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China |
| Abstract: | We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. |
| Keywords: | Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| 本文献已被 ScienceDirect 等数据库收录！ | |