Approximation of Dynamical System's Separatrix Curves

被引：15

作者：

Cavoretto, Roberto ^{[1
]}

Chaudhuri, Sanjay ^{[1
]}

De Rossi, Alessandra ^{[1
]}

Menduni, Eleonora ^{[1
]}

Moretti, Francesca ^{[1
]}

Rodi, Maria Caterina ^{[1
]}

Venturino, Ezio ^{[1
]}

机构：

[1] Univ Turin, Dept Math G Peano, I-10123 Turin, Italy

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷

关键词：

population dynamical systems; population models; scattered data interpolation; Partition of Unity method; Wendland's functions;

D O I：

10.1063/1.3637836

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In dynamical systems saddle points partition the domain into basins of attractions of the remaining locally stable equilibria. This problem is rather common especially in population dynamics models, like prey-predator or competition systems. In this paper we construct programs for the detection of points lying on the separatrix curve, i.e. the curve which partitions the domain. Finally, an efficient algorithm, which is based on the Partition of Unity method with local approximants given by Wendland's functions, is used for reconstructing the separatrix curve.

引用

页数：4