On the global dynamics of a finance model

被引：8
|
作者：
Llibre, Jaume [1 ]
Valls, Claudia [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 106卷
关键词：
Darboux invariant; Finance model; Poincare compactification; Global dynamics; FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS; STATE-SPACE;
D O I：
10.1016/j.chaos.2017.10.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently several works have studied the following model of finance <(x)over dot> = z + (y - a)x, <(y)over dot> = 1 - by - x(2), <(z)over dot> = - x - cz, where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one-dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor. (c) 2017 Elsevier Ltd. All rights reserved.
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页码：1 / 4
页数：4
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