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

被引：1
|
作者：
Alvarez, M. J. [1 ,2 ]
Bravo, J. L. [3 ]
Fernandez, M. [3 ]
Prohens, R. [1 ,2 ]
机构：
[1] Univ Illes Balears, Dept Matemat & Informat, Palma De Mallorca 07122, Spain
[2] Univ Illes Balears, IAC3 Inst Appl Comp & Community Code, Palma De Mallorca 07122, Spain
[3] Univ Extremadura, Dept Matemat, Badajoz 06071, Spain
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2021年 / 20卷 / 01期
关键词：
Limit cycles; Periodic orbits; Abel equation; PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS; NUMBER; UNIQUENESS; CRITERION;
D O I：
10.1007/s12346-021-00450-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 is an element of N. We characterize the existence of non-trivial limit cycles in this family, in terms of the trigonometricmonomials.
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页数：17
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