Bifurcations of Liouville tori of a two fixed center problem

2018 ◽  
Vol 363 (4) ◽  
Author(s):  
F. M. El-Sabaa ◽  
M. Hosny ◽  
S. K. Zakria
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.


2021 ◽  
Vol 154 (16) ◽  
pp. 164509
Author(s):  
Vikram Khanna ◽  
Jamshed Anwar ◽  
Daan Frenkel ◽  
Michael F. Doherty ◽  
Baron Peters

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

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