Border collision bifurcations in one-dimensional linear-hyperbolic maps

被引：12
|
作者：
Gardini, Laura [1 ]
Tramontana, Fabio [1 ]
Sushko, Iryna [2 ,3 ]
机构：
[1] Univ Urbino, Dept Econ & Quantitat Methods, Via Saffi 42, I-61029 Urbino, Italy
[2] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine
[3] Kiev Sch Econ, Kiev, Ukraine
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2010年 / 81卷 / 04期
关键词：
Piecewise smooth map; Border-collision bifurcation; Bistability; PIECEWISE-SMOOTH MAPS; ATTRACTING CYCLES; C-BIFURCATIONS; FAMILY;
D O I：
10.1016/j.matcom.2010.10.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we consider a continuous one-dimensional map, which is linear on one side of a generic kink point and hyperbolic on the other side. This kind of map is widely used in the applied context. Due to the simple expression of the two functions involved, in particular cases it is possible to determine analytically the border collision bifurcation curves that characterize the dynamic behaviors of the model. In the more general model we show that the steps to be performed are the same, although the analytical expressions are not given in explicit form. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：899 / 914
页数：16
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