Towards a complete classification of phase portraits of planar quadratic differential systems
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2021-07-05 15:22
SM ISO690:2012
ARTES, Joan. Towards a complete classification of phase portraits of planar quadratic differential systems. In: Mathematics and IT: Research and Education, 1-3 iulie 2021, Chişinău. Chișinău, Republica Moldova: 2021, p. 12.
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Mathematics and IT: Research and Education 2021
Conferința "Mathematics and IT: Research and Education "
Chişinău, Moldova, 1-3 iulie 2021

Towards a complete classification of phase portraits of planar quadratic differential systems


Pag. 12-12

Artes Joan
 
University of Barcelona
 
 
Disponibil în IBN: 29 iunie 2021


Rezumat

In this talk I will present the results obtained up to now for a systematic classification of phase portraits of planar quadratic differential equations, and the available tools needed to complete this work. Up to now, this work is achievable only if we limit ourselves to phase portraits modulo limit cycles, that is, without considering how many limit cycles a portrait has. Even with this strong restriction, the number of different phase portraits seems to be over 1000 and even close to 2000.