Invariant curves for a second-order difference equation modelled from macroeconomics

被引：6

作者：

Liu, Jinghua ^{[1
,2
]}

Yu, Zhiheng ^{[1
]}

Zhang, Weinian ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu, Peoples R China

[2] Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2015年 / 21卷 / 09期

关键词：

difference equation; invariant curve; construction; continuous dependence; 39B12; 58F08; MAPPINGS;

D O I：

10.1080/10236198.2015.1040008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate invariant curves of a planar mapping, which equivalently formulates a second-order difference equation modelled from macroeconomics. We construct all invariant curves in the linear case and prove the existence of invariant curves in the nonlinear case. Furthermore, we discuss the continuous dependence of invariant curves in the nonlinear case.

引用

页码：757 / 773

页数：17

共 50 条

[1] Analytic invariant curves for a second order difference equation modelled from macroeconomics under the Brjuno condition
Liu, Jing Hua
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (03) : 648 - 656
[2] Bifurcations in a second-order difference equation from macroeconomics
Li, Shuping
Zhang, Weinian
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, 14 (01) : 91 - 104
[3] TWO CODIMENSION-TWO BIFURCATIONS OF A SECOND-ORDER DIFFERENCE EQUATION FROM MACROECONOMICS
Zhong, Jiyu
Deng, Shengfu
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (04): : 1581 - 1600
[4] ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION
Wang Wusheng
[J]. ACTA MATHEMATICA SCIENTIA, 2009, 29 (02) : 415 - 426
[5] ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION
王五生
[J]. Acta Mathematica Scientia, 2009, 29 (02) : 415 - 426
[6] On the Invariant Manifolds of the Fixed Point of a Second-Order Nonlinear Difference Equation
Turan, Mehmet
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2020, 26 (04) : 673 - 684
[7] On the Invariant Manifolds of the Fixed Point of a Second-Order Nonlinear Difference Equation
Mehmet Turan
[J]. Journal of Dynamical and Control Systems, 2020, 26 : 673 - 684
[8] Analytic Invariant Curves for an Iterative Equation Related to Ricker-type Second-order Equation
Hou Yu ZHAO
Michal FE?KAN
[J]. Acta Mathematica Sinica,English Series, 2021, 37 (07) : 1041 - 1052
[9] Analytic Invariant Curves for an Iterative Equation Related to Ricker-type Second-order Equation
Hou Yu Zhao
Michal Fečkan
[J]. Acta Mathematica Sinica, English Series, 2021, 37 : 1041 - 1052
[10] Analytic Invariant Curves for an Iterative Equation Related to Ricker-type Second-order Equation
Zhao, Hou Yu
Feckan, Michal
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (07) : 1041 - 1052

← 1 2 3 4 5 →