Fourteen limit cycles in a cubic Hamiltonian system with higher-order perturbed terms

被引：0
|
作者：
Hong, XC [1 ]
Liu, ZR [1 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
来源：
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS | 2002年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using both qualitative analysis and numerical exploration we show that there are fourteen limit cycles in a cubic Hamiltonian system with higher-order perturbed terms.
引用
收藏
页码：1211 / 1215
页数：5
相关论文
共 50 条
  • [41] Higher-Order Hamiltonian for Circuits with (α,β) Elements
    Biolek, Zdenek
    Biolek, Dalibor
    Biolkova, Viera
    Kolka, Zdenek
    ENTROPY, 2020, 22 (04)
  • [42] Higher-Order Terms in the Capillary Limit Approximation of Viscous-Capillary Flow
    Ole Jakob Arntzen
    Transport in Porous Media, 2004, 57 : 17 - 34
  • [43] On the number of limit cycles for some perturbed Hamiltonian polynomial systems
    Llibre, J
    Zhang, X
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2001, 8 (02): : 161 - 181
  • [44] THE NUMBER OF LIMIT CYCLES FROM A QUARTIC CENTER BY THE HIGHER-ORDER MELNIKOV FUNCTIONS
    Liu, Xia
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (03): : 1405 - 1421
  • [45] NUMERICAL METHOD FOR LOCATION OF LIMIT CYCLES OF HIGHER-ORDER NONLINEAR AUTONOMOUS SYSTEMS
    JONNADA, RK
    WEYGANDT, CN
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1971, 292 (05): : 333 - &
  • [46] EFFECT OF HIGHER-ORDER SPIN TERMS IN GENERALIZED SPIN HAMILTONIAN ON G-VALUES
    SMITH, MR
    CHATTERJEE, R
    BUCKMASTER, HA
    JOURNAL OF MAGNETIC RESONANCE, 1977, 25 (03) : 495 - 497
  • [47] LAGRANGIAN FOR A SYSTEM OF CHARGED-PARTICLES TO HIGHER-ORDER TERMS
    DIONYSIOU, DD
    VAIOPOULOS, DA
    LETTERE AL NUOVO CIMENTO, 1979, 26 (01): : 5 - 8
  • [48] CUBIC AND HIGHER-ORDER ALGORITHMS FOR PI
    BORWEIN, JM
    BORWEIN, PB
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1984, 27 (04): : 436 - 443
  • [49] Mixed Ising spin system with higher-order spin terms
    Iwashita, T
    Oitmaa, J
    Idogaki, T
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1998, 177 : 159 - 160
  • [50] On the number of limit cycles of a perturbed cubic polynomial differential center
    Li, Shimin
    Zhao, Yulin
    Li, Jun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 404 (02) : 212 - 220
12345