Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/dissipative-vector-fields-on-the-plane-with-infinitely-many-attracting-3yxjY0i62W
References (11)
-
C. Olech (1961)
ON THE GLOBAL STABILITY OF AN AUTONOMOUS SYSTEM ON THE PLANE -
N. N. Krasovskii (1959)
Some problems of the stability theory of motion -
G. Meisters (1982)
Jacobian problems in differential equations and algebraic geometryRocky Mountain Journal of Mathematics, 12
-
P. Hartman (1961)
On Stability in the Large for Systems of Ordinary Differential EquationsCanadian Journal of Mathematics, 13
-
G. Meisters, O. Olech (1988)
Solution of the global asymptotic stability Jacobian conjecture for the polynomial case -
P. Hartman (1965)
Ordinary Differential EquationsJournal of the American Statistical Association, 60
-
L. Markus, Hidehiko Yamabe (1960)
Global stability criteria for differential systems.Osaka Mathematical Journal, 12
-
G. Zampieri, G. Gorni (1992)
On the Jacobian conjecture for global asymptotic stabilityJournal of Dynamics and Differential Equations, 4
-
H. Grauert (1958)
On Levi's Problem and the Imbedding of Real-Analytic ManifoldsAnnals of Mathematics, 68
-
A. Gasull, J. Sotomayor (1990)
On the basin of attraction of dissipative planar vector fields -
A. Gasull, J. Llibre, J. Sotomayor (1991)
Global asymptotic stability of differential equations in the planeJournal of Differential Equations, 91
- Publisher
- Springer Journals
- Copyright
- Copyright © 1992 by Sociedade Brasileira de Matemática
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/BF01232941
- Publisher site
- See Article on Publisher Site
Abstract
For anyb>0, there are dissipative analytic vector fields on ℝ2 which, when restricted to ℝ×(−b,b), have positive Jacobian and infinitely many (attracting) singularities.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 11, 2005