MELNIKOV VECTOR WITH HIGHER ORDER

被引：0

作者：

Zhu Deming(East China Normal University

机构：

来源：

Annals of Applied Mathematics | 1996年 / 03期

关键词：

invariant manifold; tangent space; heteroclinic orbit; transversality; exponential dichotomy;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

ＭＥＬＮＩＫＯＶＶＥＣＴＯＲＷＩＴＨＨＩＧＨＥＲＯＲＤＥＲ￥ＺｈｕＤｅｍｉｎｇ（ＥａｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，２０００６２）Ａｂｓｔｒａｃｔ：Ｂｙｕｓｉｎｇｔｈｅｇｅｏｍｅｔｒｉｃａｌｍｅｔｈｏｄ，ｔｈｅｈｉｇｈｅｒｏｒｄｅｒＭ...

引用

页码：371 / 379

页数：9

共 50 条

[1] MELNIKOV VECTOR IN HIGHER DIMENSIONS
YAMASHITA, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (07) : 657 - 670
[2] A note on higher order Melnikov functions
Jebrane A.
Zolładek H.
[J]. Qualitative Theory of Dynamical Systems, 2005, 6 (2) : 273 - 287
[3] HIGHER-ORDER MELNIKOV METHOD
郭友中
刘曾荣
江霞妹
韩志斌
[J]. Applied Mathematics and Mechanics(English Edition), 1991, (01) : 21 - 32
[4] THE NUMBER OF LIMIT CYCLES FROM ELLIPTIC HAMILTONIAN VECTOR FIELDS BY HIGHER ORDER MELNIKOV FUNCTIONS
Liu, Xia
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (03): : 1239 - 1254
[5] Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve
Andrade, Kamila da S.
Cespedes, Oscar A. R.
Cruz, Dayane R.
Novaes, Douglas D.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 287 : 1 - 36
[6] Higher Order Melnikov Functions for Studying Limit Cycles of Some Perturbed Elliptic Hamiltonian Vector Fields
Rasoul Asheghi
Arefeh Nabavi
[J]. Qualitative Theory of Dynamical Systems, 2019, 18 : 289 - 313
[7] Higher Order Melnikov Functions for Studying Limit Cycles of Some Perturbed Elliptic Hamiltonian Vector Fields
Asheghi, Rasoul
Nabavi, Arefeh
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2019, 18 (01) : 289 - 313
[8] Higher-order Melnikov theory for adiabatic systems
SotoTrevino, C
Kaper, TJ
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (12) : 6220 - 6249
[9] Higher order Melnikov function for a quartic Hamiltonian with cuspidal loop
Zhao, YL
Zhu, SM
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2002, 8 (04) : 995 - 1018
[10] Bifurcation theory of limit cycles by higher order Melnikov functions and applications
Liu, Shanshan
Han, Maoan
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 403 : 29 - 66

← 1 2 3 4 5 →