Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields

被引：9
|
作者：
de Carvalho, Tiago [1 ]
Teixeira, Marco Antonio [2 ]
机构：
[1] FC UNESP, BR-17033360 Sao Paulo, Brazil
[2] IMECC UNICAMP, BR-13081970 Sao Paulo, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 418卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Piecewise smooth vector field; Bifurcation; Cusp-fold singularity; Structural stability; Basin of attraction; BIFURCATIONS;
D O I：
10.1016/j.jmaa.2014.03.093
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generic one-parameter families of piecewise smooth vector fields on R-3 presenting the so-called cusp-fold singularity are studied. The bifurcation diagrams are exhibited and the asymptotic and structural stabilities are discussed. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：11 / 30
页数：20
相关论文
共 50 条
  • [31] Curvature measures of 3D vector fields and their applications
    Weinkauf, T
    Theisel, H
    WSCG'2002, VOLS I AND II, CONFERENCE PROCEEDINGS, 2002, : 507 - 514
  • [32] Visualizing 3D vector fields with splatted streamlines
    Ess, Erich
    Sun, Yinlong
    VISUALIZATION AND DATA ANALYSIS 2006, 2006, 6060
  • [33] 3D loop detection and visualization in vector fields
    Wischgoll, T
    Scheuermann, G
    VISUALIZATION AND MATHEMATICS III, 2003, : 151 - 160
  • [34] 3D Stokes parameters for vector focal fields
    Andreev, A., V
    Shoutova, O. A.
    Trushin, S. M.
    Stremoukhov, S. Yu
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2022, 39 (07) : 1775 - 1782
  • [35] Piecewise-Smooth Surface Fitting onto Unstructured 3D Sketches
    Yu, Emilie
    Arora, Rahul
    Baerentzen, J. Andreas
    Singh, Karan
    Bousseau, Adrien
    ACM TRANSACTIONS ON GRAPHICS, 2022, 41 (04):
  • [36] Visualization techniques for 3D vector fields: an application to electrostatic fields of molecules
    Handa, S
    Kashiwagi, H
    Takada, T
    JOURNAL OF VISUALIZATION AND COMPUTER ANIMATION, 2001, 12 (03): : 167 - 180
  • [37] Characterization of the angular coefficient method on 2D and 3D piecewise smooth boundaries
    Calafa, Matteo
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (08):
  • [38] Topological flowers and spider webs in 3D vector fields
    Pang, Xiaoyan
    Nyamdorj, Bujinlkham
    Zhao, Xinying
    OPTICS EXPRESS, 2022, 30 (16) : 28720 - 28736
  • [39] Fault displacement modelling using 3D vector fields
    Frode Georgsen
    Per Røe
    Anne Randi Syversveen
    Oddvar Lia
    Computational Geosciences, 2012, 16 : 247 - 259
  • [40] COMPUTER GENERATED DISPLAY OF 3D VECTOR-FIELDS
    FULLER, AJB
    DOSSANTOS, MLX
    COMPUTER-AIDED DESIGN, 1980, 12 (02) : 61 - 66
12345