Dicritical singularities in foliations with algebraic limit sets

1995 ◽  
Vol 26 (1) ◽  
pp. 47-56
Author(s):  
Paulo Sad
Keyword(s):  
Limit Sets ◽  
Dicritical Singularities ◽  
Algebraic Limit

Foliations with Algebraic Limit Sets

2021 ◽  
pp. 115-129
Author(s):  
Bruno Scárdua
Keyword(s):  
Limit Sets ◽  
Algebraic Limit

4. Foliations with algebraic limit sets

2020 ◽  
pp. 99-118
Keyword(s):  
Limit Sets ◽  
Algebraic Limit

Foliations with Algebraic Limit Sets

1992 ◽  
Vol 136 (2) ◽  
pp. 429 ◽  
Author(s):  
C. Camacho ◽  
A. Lins Neto ◽  
P. Sad
Keyword(s):  
Limit Sets ◽  
Algebraic Limit

Length distortion and the Hausdorff dimension of limit sets

2000 ◽  
Vol 122 (3) ◽  
pp. 465-482 ◽  
Author(s):  
Martin Bridgeman ◽  
Edward C. Taylor
Keyword(s):  
Hausdorff Dimension ◽  
Limit Sets ◽  
Length Distortion

scholarly journals A non-Borel special alpha-limit set in the square

2021 ◽  
pp. 1-11
Author(s):  
STEPHEN JACKSON ◽  
BILL MANCE ◽  
SAMUEL ROTH
Keyword(s):  
Dynamical Systems ◽  
Limit Set ◽  
Limit Sets ◽  
Unit Square

Abstract We consider the complexity of special $\alpha $ -limit sets, a kind of backward limit set for non-invertible dynamical systems. We show that these sets are always analytic, but not necessarily Borel, even in the case of a surjective map on the unit square. This answers a question posed by Kolyada, Misiurewicz, and Snoha.

scholarly journals Limit Behavior of Solutions of Ordinary Linear Differential Equations

1994 ◽  
Vol 1 (3) ◽  
pp. 315-323
Author(s):  
František Neuman
Keyword(s):  
Differential Equations ◽  
Oscillatory Behavior ◽  
Linear Differential Equations ◽  
Limit Behavior ◽  
Limit Sets ◽  
Equivalent Linear ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

Abstract A classification of classes of equivalent linear differential equations with respect to ω-limit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented.

scholarly journals A Full Description of ω-Limit Sets of Cournot Maps Having Non-Empty Interior and Some Economic Applications

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 452
Author(s):  
Antonio Linero-Bas ◽  
María Muñoz-Guillermo
Keyword(s):  
Economic Models ◽  
Full Description ◽  
Cournot Model ◽  
Empty Interior ◽  
Limit Sets ◽  
Economic Applications

Given a continuous Cournot map F(x,y)=(f2(y),f1(x)) defined from I2=[0,1]×[0,1] into itself, we give a full description of its ω-limit sets with non-empty interior. Additionally, we present some partial results for the empty interior case. The distribution of the ω-limits with non-empty interior gives information about the dynamics and the possible outputs of each firm in a Cournot model. We present some economic models to illustrate, with examples, the type of ω-limits that appear.

scholarly journals Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations

2017 ◽  
Vol 196 (1) ◽  
pp. 35-44 ◽  
Author(s):  
Andrés Beltrán ◽  
Arturo Fernández-Pérez ◽  
Hernán Neciosup
Keyword(s):  
Holomorphic Foliations ◽  
Dicritical Singularities

scholarly journals Omega-limit sets and robust stability for switched systems with distinct equilibria

2020 ◽  
Vol 53 (2) ◽  
pp. 2039-2044
Author(s):  
Matina Baradaran ◽  
Andrew R. Teel
Keyword(s):  
Robust Stability ◽  
Switched Systems ◽  
Limit Sets
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