We study the number of limit cycles of T -periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems
Agraïments/Ajudes: The first author is partially supported by by grants MTM2005-06098-C02-1. The sec...
AbstractWe present various criteria for the non-existence of positive periodic solutions of generali...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
It is know that the non-autonomous differential equations dx/dt = a(t) + b(t)|x|, where a(t) and b(t...
summary:New results are proved on the maximum number of isolated $T$-periodic solutions (limit cycle...
AbstractFor a class of polynomial non-autonomous differential equations of degree n, we use phase pl...
This paper is devoted to prove two unexpected properties of the Abel equation dz/dt = z 3 +B(t)z 2 +...
AbstractThis paper is devoted to prove two unexpected properties of the Abel equation dz/dt=z3+B(t)z...
Agraïments: M.J.A. was partially supported by grants MTM2005-06098-C02-1. J.L.B. and M.F. were parti...
This paper devotes to the study of the classical Abel equation $\frac{dx}{dt}=g(t)x^{3}+f(t)x^{2}$, ...
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a ...
Agraïments: J.L.B. and M.F. were partially supported by grant FEDER(UE) MTM2008-05460.We study the p...
[eng] Periodic solutions, Abel equation, Alien limit cycles, Abelian integrals, Bifurcation', abstra...
Given p, q ∊ Z ≥ 2 with p ≠ q, we study generalized Abel differential equations (Equation presented)...
In this paper we study the limit cycles of the third-order differential equation ...x − μẍ + ẋ − μx ...
Agraïments/Ajudes: The first author is partially supported by by grants MTM2005-06098-C02-1. The sec...
AbstractWe present various criteria for the non-existence of positive periodic solutions of generali...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
It is know that the non-autonomous differential equations dx/dt = a(t) + b(t)|x|, where a(t) and b(t...
summary:New results are proved on the maximum number of isolated $T$-periodic solutions (limit cycle...
AbstractFor a class of polynomial non-autonomous differential equations of degree n, we use phase pl...
This paper is devoted to prove two unexpected properties of the Abel equation dz/dt = z 3 +B(t)z 2 +...
AbstractThis paper is devoted to prove two unexpected properties of the Abel equation dz/dt=z3+B(t)z...
Agraïments: M.J.A. was partially supported by grants MTM2005-06098-C02-1. J.L.B. and M.F. were parti...
This paper devotes to the study of the classical Abel equation $\frac{dx}{dt}=g(t)x^{3}+f(t)x^{2}$, ...
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a ...
Agraïments: J.L.B. and M.F. were partially supported by grant FEDER(UE) MTM2008-05460.We study the p...
[eng] Periodic solutions, Abel equation, Alien limit cycles, Abelian integrals, Bifurcation', abstra...
Given p, q ∊ Z ≥ 2 with p ≠ q, we study generalized Abel differential equations (Equation presented)...
In this paper we study the limit cycles of the third-order differential equation ...x − μẍ + ẋ − μx ...
Agraïments/Ajudes: The first author is partially supported by by grants MTM2005-06098-C02-1. The sec...
AbstractWe present various criteria for the non-existence of positive periodic solutions of generali...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
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