We present a new approach for the global bifurcation analysis of limit cycles for a generalized van der Pol system. It is based on the existence of a Dulac-Cherkas function and on applying two topologically equivalent systems: one of them is a rotated vector field, the other one is a singularly perturbed system
AbstractIn this paper, we study the number of limit cycles in a family of polynomial systems. Using ...
summary:In this paper, an improvement of the global region for the non-existence of limit cycles of ...
We consider autonomous systems with cylindrical phase space. Lower and upper bounds for the number o...
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van ...
We consider planar autonomous systems dx/dt =P(x,y,λ), dy/dt =Q(x,y,λ) depending on a scalar paramet...
Consider a class of planar autonomous differential systems with cylindric phase space which represen...
We consider a generalized pendulum equation depending on the scalar parameter $\mu$ having for $\mu...
Consider the class of planar systems fracdxdt=y,quadfracdydt=−x+musumj=03hj(x,mu)yj depending on the...
By means of planar polynomial systems topologically equivalent to the van der Pol system we demonstr...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
We present a new approach to establish the existence of a unique limit cycle for the van der Pol equ...
We present a new approach to study limit cycles of planar systems of autonomous differential equatio...
Using the Andronov-Hopf bifurcation theorem and the Poincaré-Bendixson Theorem, this paper explores ...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
AbstractIn this paper, we study the number of limit cycles in a family of polynomial systems. Using ...
summary:In this paper, an improvement of the global region for the non-existence of limit cycles of ...
We consider autonomous systems with cylindrical phase space. Lower and upper bounds for the number o...
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van ...
We consider planar autonomous systems dx/dt =P(x,y,λ), dy/dt =Q(x,y,λ) depending on a scalar paramet...
Consider a class of planar autonomous differential systems with cylindric phase space which represen...
We consider a generalized pendulum equation depending on the scalar parameter $\mu$ having for $\mu...
Consider the class of planar systems fracdxdt=y,quadfracdydt=−x+musumj=03hj(x,mu)yj depending on the...
By means of planar polynomial systems topologically equivalent to the van der Pol system we demonstr...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
We present a new approach to establish the existence of a unique limit cycle for the van der Pol equ...
We present a new approach to study limit cycles of planar systems of autonomous differential equatio...
Using the Andronov-Hopf bifurcation theorem and the Poincaré-Bendixson Theorem, this paper explores ...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
Dulac-Cherkas functions can be used to derive an upper bound for the number of limit cycles of plana...
AbstractIn this paper, we study the number of limit cycles in a family of polynomial systems. Using ...
summary:In this paper, an improvement of the global region for the non-existence of limit cycles of ...
We consider autonomous systems with cylindrical phase space. Lower and upper bounds for the number o...
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