Simple $$O(n~log^{2}~n)$$ Algorithms for the Planar 2-Center Problem

2017 ◽  
pp. 481-491 ◽  
Author(s):  
Xuehou Tan ◽  
Bo Jiang
Keyword(s):  
Center Problem

scholarly journals A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Antonio Algaba ◽  
Cristóbal García ◽  
Jaume Giné
Keyword(s):  
Normal Form ◽  
Vector Fields ◽  
New Technique ◽  
Center Problem ◽  
New Normal ◽  
Planar Vector Fields ◽  
Planar Vector ◽  
A New Technique

AbstractIn this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In fact, it is a pre-normal form with respect to classical Bogdanov–Takens normal formal and it allows to approach the center problem more efficiently. The new normal form is applied to several examples.

scholarly journals The probabilistic p -center problem: Planning service for potential customers

2017 ◽  
Vol 262 (2) ◽  
pp. 509-520 ◽  
Author(s):  
Luisa I. Martínez-Merino ◽  
Maria Albareda-Sambola ◽  
Antonio M. Rodríguez-Chía
Keyword(s):  
Center Problem ◽  
Planning Service ◽  
Potential Customers

scholarly journals The multi-period p-center problem with time-dependent travel times

2021 ◽  
pp. 105487
Author(s):  
Tobia Calogiuri ◽  
Gianpaolo Ghiani ◽  
Emanuela Guerriero ◽  
Emanuele Manni
Keyword(s):  
Time Dependent ◽  
Center Problem ◽  
Travel Times

scholarly journals Bifurcation of Limit Cycles and Center Conditions for Two Families of Kukles-Like Systems with Nilpotent Singularities

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Peiluan Li ◽  
Yusen Wu ◽  
Xiaoquan Ding
Keyword(s):  
Hopf Bifurcation ◽  
Limit Cycles ◽  
Singular Points ◽  
Center Problem ◽  
Bifurcation Of Limit Cycles ◽  
Center Conditions

We solve theoretically the center problem and the cyclicity of the Hopf bifurcation for two families of Kukles-like systems with their origins being nilpotent and monodromic isolated singular points.

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