EXACT HETEROCLINIC CYCLE FAMILY AND QUASI-PERIODIC SOLUTIONS FOR THE THREE-DIMENSIONAL SYSTEMS DETERMINED BY CHAZY CLASS IX

被引：3

作者：

Li, Jibin ^{[1
]}

Zhao, Xiaohua ^{[2
]}

机构：

[1] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Heteroclinic orbit family; quasi-periodic solution; periodic solution; Chazy class IX; level set;

D O I：

10.1142/S0218127411029227

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For differential equation in the Chazy class IX, their corresponding three-dimensional system is studied in this paper by using dynamical system methods and Cosgrove's results. In a level set, the exact explicit parametric representations of a heteroclinic cycle family and uncountably infinitely many periodic solutions as well as quasi-periodic solutions, are all obtained.

引用

页码：1357 / 1367

页数：11

共 47 条

[41] Dynamics of quasi-periodic, bifurcation, sensitivity and three-wave solutions for (n+1)-dimensional generalized Kadomtsev-Petviashvili equation
Rafiq, Muhammad Hamza
Riaz, Muhammad Bilal
Basendwah, Ghada Ali
Raza, Nauman
Rafiq, Muhammad Naveed
PLOS ONE, 2024, 19 (08):
[42] Three-dimensional tracking of mid-latitude quasi-periodic E-region echoes observed with the Chung-Li VHF radar
Chen, CL
Pan, CJ
Röttger, J
Anandan, VK
ANNALES GEOPHYSICAE, 2005, 23 (02) : 393 - 400
[43] Exact analytical solutions of three-dimensional static thermoelastic problems for a transversally isotropic body in curvilinear coordinate systems
Podil'chuk, YN
INTERNATIONAL APPLIED MECHANICS, 2001, 37 (06) : 728 - 761
[44] Exact Analytical Solutions of Three-Dimensional Static Thermoelastic Problems for a Transversally Isotropic Body in Curvilinear Coordinate Systems
Yu. N. Podil'chuk
International Applied Mechanics, 2001, 37 : 728 - 761
[45] Class of Exact Solutions of the Navier-Stokes Equations in the Three-Dimensional Space of a Compressible Fluid with Allowance for Heat Conduction.
Nazarov, G.I.
Puchkova, N.G.
Gidromekhanika, 1986, (53): : 30 - 32
[46] Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci
Wei, Zhouchao
Zhu, Bin
Escalante-Gonzalez, R. J.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 43
[47] Observation of three-dimensional structures of quasi-periodic echoes associated with mid-latitude sporadic-E layers by MU radar ultra-multi-channel system
Saito, S.
Yamamoto, M.
Hashiguchi, H.
Maegawa, A.
GEOPHYSICAL RESEARCH LETTERS, 2006, 33 (14)

← 1 2 3 4 5 →