Generic one-parameter families of vector fields on two-dimensional manifolds

J. Sotomayor

doi:10.1007/bf02684365

Generic one-parameter families of vector fields on two-dimensional manifolds

Publications mathématiques de l IHÉS ◽

10.1007/bf02684365 ◽

1974 ◽

Vol 43 (1) ◽

pp. 5-46 ◽

Cited By ~ 71

Author(s):

J. Sotomayor

Keyword(s):

Vector Fields ◽

Two Dimensional

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Families of Two-dimensional Vector Fields

Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem ◽

10.1007/978-3-0348-0718-0_1 ◽

1998 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Robert Roussarie

Keyword(s):

Vector Fields ◽

Two Dimensional ◽

Dimensional Vector

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Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques

10.1117/12.312933 ◽

1998 ◽

Author(s):

Takahiro Aoki ◽

Toshihiro Sotomaru ◽

Yoko Miyamoto ◽

Mitsuo Takeda

Keyword(s):

Vector Fields ◽

Phase Unwrapping ◽

Two Dimensional ◽

Rotational Vector

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Melnikov–s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields

Introduction to Applied Nonlinear Dynamical Systems and Chaos - Texts in Applied Mathematics ◽

10.1007/0-387-21749-5_29 ◽

2006 ◽

pp. 687-725

Keyword(s):

Vector Fields ◽

Homoclinic Orbits ◽

Two Dimensional ◽

Time Periodic

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Homoclinic tangles and transport in two-dimensional, time-quasiperiodic vector fields

Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications - Fields Institute Monographs ◽

10.1090/fim/001/04 ◽

1993 ◽

pp. 29-46

Keyword(s):

Vector Fields ◽

Two Dimensional ◽

Homoclinic Tangles

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A Characterization of Harmonic $$L^r$$-Vector Fields in Two-Dimensional Exterior Domains

Journal of Geometric Analysis ◽

10.1007/s12220-019-00216-0 ◽

2019 ◽

Vol 30 (4) ◽

pp. 3742-3759 ◽

Cited By ~ 2

Author(s):

Matthias Hieber ◽

Hideo Kozono ◽

Anton Seyfert ◽

Senjo Shimizu ◽

Taku Yanagisawa

Keyword(s):

Vector Fields ◽

Two Dimensional ◽

Exterior Domains

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Two-dimensional global manifolds of vector fields

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.166450 ◽

1999 ◽

Vol 9 (3) ◽

pp. 768-774 ◽

Cited By ~ 64

Author(s):

Bernd Krauskopf ◽

Hinke Osinga

Keyword(s):

Vector Fields ◽

Two Dimensional

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Exact smooth classification of hamiltonian vector fields on two-dimensional manifolds

Mathematical Notes ◽

10.1007/bf02355725 ◽

1997 ◽

Vol 61 (2) ◽

pp. 146-163 ◽

Cited By ~ 2

Author(s):

B. S. Kruglikov

Keyword(s):

Vector Fields ◽

Hamiltonian Vector ◽

Two Dimensional ◽

Hamiltonian Vector Fields ◽

Smooth Classification

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Stable and convergent approximation of two-dimensional vector fields on unstructured meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.01.049 ◽

2016 ◽

Vol 307 ◽

pp. 284-306 ◽

Cited By ~ 3

Author(s):

Qingshan Chen

Keyword(s):

Vector Fields ◽

Unstructured Meshes ◽

Two Dimensional ◽

Dimensional Vector

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Direct separation of two-dimensional vector fields into irrotational and solenoidal parts

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(71)90058-8 ◽

1971 ◽

Vol 33 (2) ◽

pp. 328-334 ◽

Cited By ~ 2

Author(s):

Roy M Endlich

Keyword(s):

Vector Fields ◽

Two Dimensional ◽

Dimensional Vector ◽

Direct Separation

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The Dynamics Associated with the Chaotic Tangles of Two Dimensional Quasiperiodic Vector Fields: Theory and Applications

Nonlinear Phenomena in Atmospheric and Oceanic Sciences - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4757-0250-7_3 ◽

1992 ◽

pp. 47-138 ◽

Cited By ~ 5

Author(s):

Darin Beigie ◽

Anthony Leonard ◽

Stephen Wiggins

Keyword(s):

Vector Fields ◽

Two Dimensional

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