Nonautonomous gradient-like vector fields on the circle: Classification, structural stability and autonomization

Lev M. Lerman;  ; Elena V. Gubina

doi:10.3934/dcdss.2020076

Nonautonomous gradient-like vector fields on the circle: Classification, structural stability and autonomization

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020076 ◽

2020 ◽

Vol 13 (4) ◽

pp. 1341-1367

Author(s):

Lev M. Lerman ◽

◽

Elena V. Gubina

Keyword(s):

Structural Stability ◽

Vector Fields

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Structural stability of divergence-free vector fields

Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics - Mathematical Surveys and Monographs ◽

10.1090/surv/119/02 ◽

2005 ◽

pp. 51-80

Author(s):

Tian Ma ◽

Shouhong Wang

Keyword(s):

Structural Stability ◽

Vector Fields ◽

Divergence Free Vector ◽

Divergence Free

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Structural stability of planar quasi-homogeneous vector fields

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.08.005 ◽

2018 ◽

Vol 468 (1) ◽

pp. 212-226 ◽

Cited By ~ 1

Author(s):

A. Algaba ◽

N. Fuentes ◽

E. Gamero ◽

C. Garcia

Keyword(s):

Structural Stability ◽

Vector Fields ◽

Homogeneous Vector Fields ◽

Homogeneous Vector

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Structural Stability of Planar Homogeneous Polynomial Vector Fields: Applications to Critical Points and to Infinity

Journal of Differential Equations ◽

10.1006/jdeq.1996.0038 ◽

1996 ◽

Vol 125 (2) ◽

pp. 490-520 ◽

Cited By ~ 20

Author(s):

Jaume Llibre ◽

Jesús S. Pérez del Río ◽

José Angel Rodríguez

Keyword(s):

Structural Stability ◽

Critical Points ◽

Homogeneous Polynomial ◽

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields

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On structural stability of pairings of vector fields and functions

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf02584667 ◽

1978 ◽

Vol 9 (2) ◽

pp. 63-81 ◽

Cited By ~ 1

Author(s):

Marcos Antonio Teixeira

Keyword(s):

Structural Stability ◽

Vector Fields

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Weakly Structural Stability of Cubic Homogeneous Parameterized Vector Fields

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.7107 ◽

2000 ◽

Vol 250 (2) ◽

pp. 681-691

Author(s):

Kamal H. Yasir ◽

Yun Tang

Keyword(s):

Structural Stability ◽

Vector Fields

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Structural stability of vector fields on 3-manifolds with boundary

Journal of Differential Equations ◽

10.1016/0022-0396(84)90148-7 ◽

1984 ◽

Vol 54 (3) ◽

pp. 346-372 ◽

Cited By ~ 7

Author(s):

M.J Pacifico

Keyword(s):

Structural Stability ◽

Vector Fields ◽

Manifolds With Boundary

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Structural stability of germs of vector fields on surfaces with a simple singularity

Lecture Notes in Mathematics - Holomorphic Dynamics ◽

10.1007/bfb0081408 ◽

1988 ◽

pp. 294-301

Author(s):

Federico Sánchez-Bringas

Keyword(s):

Structural Stability ◽

Vector Fields ◽

Simple Singularity

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Structural Stability of Equivariant Vector Fields on Two-Manifolds

Transactions of the American Mathematical Society ◽

10.2307/1999151 ◽

1984 ◽

Vol 283 (2) ◽

pp. 633 ◽

Cited By ~ 2

Author(s):

G. L. Dos Reis

Keyword(s):

Structural Stability ◽

Vector Fields ◽

Equivariant Vector Fields

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Global C r Structural Stability of Vector Fields on Open Surfaces with Finite Genus

Proceedings of the American Mathematical Society ◽

10.2307/2047965 ◽

1990 ◽

Vol 108 (4) ◽

pp. 1039

Author(s):

Janina Kotus

Keyword(s):

Structural Stability ◽

Vector Fields ◽

Finite Genus

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Structural stability of vector fields with shadowing

Journal of Differential Equations ◽

10.1016/j.jde.2006.08.012 ◽

2007 ◽

Vol 232 (1) ◽

pp. 303-313 ◽

Cited By ~ 23

Author(s):

Keonhee Lee ◽

Kazuhiro Sakai

Keyword(s):

Structural Stability ◽

Vector Fields

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