Work

From Abel’s differential equations to Hilbert’s 16th problem

Year: 2024
Type: article
Abstract: The study of the limit cycles of planar polynomial differential equations is motivated both by its appearance in many mathematical models of the real-world as for the second part of Hilbert’s 16th problem. In this work we briefly summarize some results on this subject and we will also highlight the important role that the Abel’s differential equations play in its study. In the way, we recall some nice properties of the Riccati’s differential equations.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4402941548
FWCI: 1.341
Cites: 103
Cited by: 2
Related to: 10