Characterization of the Existence of Non-trivial Limit Cycles for Generalized Abel Equations

Autor:	Manuel Montanero Fernández, José Bravo, R. Prohens, M.J. Álvarez
Rok vydání:	2021
Předmět:	Pure mathematics Monomial Applied Mathematics Of the form Characterization (mathematics) 01 natural sciences 010101 applied mathematics 0103 physical sciences Discrete Mathematics and Combinatorics Limit (mathematics) 0101 mathematics Trigonometry 010301 acoustics Mathematics
Zdroj:	Qualitative Theory of Dynamical Systems. 20
ISSN:	1662-3592 1575-5460
DOI:	10.1007/s12346-021-00450-4
Popis:	In this paper, we consider the family of generalized Abel equations of the form $$\begin{aligned} x'=A(t)x^m + B(t) x^n, \end{aligned}$$ where A, B are trigonometric polynomials and $$m,n\in \mathbb {N}$$ . We characterize the existence of non-trivial limit cycles in this family, in terms of the trigonometric monomials.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e8c5f1b35a6911f27f18e68d379975ca https://doi.org/10.1007/s12346-021-00450-4 Zobrazit plný text záznamu Full text from SpringerLink