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

In this paper, we consider the family of generalized Abel equations of the form x ′ = A ( t ) x m + B ( t ) x n , where A ,  B are trigonometric polynomials and m , n ∈ N . We characterize the existence of non-trivial limit cycles in this family, in terms of the trigonometric monomials.

Bibliographische Detailangaben

Veröffentlicht in:	Qualitative theory of dynamical systems 2021, Vol.20 (1), Article 15
Hauptverfasser:	Álvarez, M. J., Bravo, J. L., Fernández, M., Prohens, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Dynamical Systems and Ergodic Theory Mathematical analysis Mathematics Mathematics and Statistics Polynomials
Online-Zugang:	Volltext
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