Global properties of symmetric competition models with riddling and blowout phenomena

被引：27
作者：
Bischi, GI [1 ]
Gardini, L
机构：
[1] Univ Urbino, Ist Sci Econ, I-61029 Urbino, Italy
[2] Univ Parma, Fac Econ, Ist Matemat E Levi, I-43100 Parma, Italy
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2000年 / 5卷 / 03期
关键词：
chaos synchronization; noninvertible maps; critical curves; market share competition;
D O I：
10.1155/S1026022600000492
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the problem of chaos synchronization, and the related phenomena of riddling, blowout and on-off intermittency, are considered for discrete time competition models with identical competitors. The global properties which determine the different effects of riddling and blowout bifurcations are studied by the method of critical curves, a tool for the study of the global dynamical properties of two-dimensional noninvertible maps. These techniques are applied to the study of a dynamic market-share competition model.
引用
收藏
页码：149 / 160
页数：12
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