期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 269, 期 1, 页码 832-861出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2019.12.020
关键词
Z(2)-equivariant; Hamiltonian; Phase portrait; Bi-center; Infinity
类别
资金
- National Natural Science Foundation of China [11771059, 11801089]
- Science and Technology Program of Guangzhou [201707010426]
- Natural Science Foundation of Guangdong Province [2017A030313010, 2019A1515011885]
- MINECO-FEDER [MTM2016-77278-P]
- AGAUR [2017 SGR1617]
- European project Dynamics [H2020-HSCA-RISE-2017-777911]
We study the global dynamical behavior of Z(2)-equivariant cubic Hamiltonian vector fields with a linear type bi-center at (+/- 1, 0). By using a series of symbolic computation tools, we obtain all possible phase portraits of these Z(2)-equivariant Hamiltonian systems. (C) 2020 Elsevier Inc. All rights reserved.
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