The 2-center problem with obstacles

Author(s):  
Dan Halperin ◽  
Micha Sharir ◽  
Ken Goldberg
Keyword(s):  
2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Antonio Algaba ◽  
Cristóbal García ◽  
Jaume Giné

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.


2017 ◽  
Vol 262 (2) ◽  
pp. 509-520 ◽  
Author(s):  
Luisa I. Martínez-Merino ◽  
Maria Albareda-Sambola ◽  
Antonio M. Rodríguez-Chía

2021 ◽  
pp. 105487
Author(s):  
Tobia Calogiuri ◽  
Gianpaolo Ghiani ◽  
Emanuela Guerriero ◽  
Emanuele Manni

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Peiluan Li ◽  
Yusen Wu ◽  
Xiaoquan Ding

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.


Sign in / Sign up

Export Citation Format

Share Document