Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line

• Published in: Applied mathematics letters Vol. 137; p. 108501
• Main Authors: Carmona, Victoriano, Fernández-Sánchez, Fernando, Novaes, Douglas D.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2023
• Subjects: Khovanskiĭ’s theory; Limit cycles; Planar piecewise differential linear systems; Poincaré half-maps; Upper bounds; Khovanskiĭ’s theory; Planar piecewise differential linear systems; Limit cycles; Poincaré half-maps; Upper bounds

The existence of a uniform upper bound for the maximum number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line has been subject of interest of hundreds of papers. After more than 30 years of investigation since Lum–Chua’s work, it has remain...