In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an arbitrary Kolmogorov system of degree 3 in R3 can exhibit. The main tool used is the averaging theory
The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic...
We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z...
We prove that the Volterra-Gause system of predator-prey type exhibits 2 kinds of zero-Hopf bifurcat...
In this work we consider the Kolmogorov system of degree 3 in R2 and R3 having an equilibrium point ...
A Hopf equilibrium of a differential system in R2 is an equilibrium point whose linear part has eige...
Here we study the Lotka-Volterra systems in R3, i.e. the differential systems of the form dxi/dt = x...
In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an ar...
A zero-Hopf equilibrium of a differential system in R3 is an equilibrium point whose linear part has...
Agraïments: All authors has been partially supported Conacyt México, grant 128790We apply the averag...
We study the zero-Hopf bifurcation of the Rössler differential system x· = x − xy − z, y· = x − ay, ...
We study the limit cycles which can bifurcate from a zero--Hopf singularity of a C^m 1 differential ...
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Ho...
graïments/Ajudes: The second author is partially supported by Fondecyt project 1130644.A zero-Hopf e...
Agraïments: The second author has been partially supported by FCT through CAMGDS, Lisbon
Agraïments: The first author is supported by the FAPESP-BRAZIL grants 2010/18015-6, 2012/05635-1, an...
The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic...
We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z...
We prove that the Volterra-Gause system of predator-prey type exhibits 2 kinds of zero-Hopf bifurcat...
In this work we consider the Kolmogorov system of degree 3 in R2 and R3 having an equilibrium point ...
A Hopf equilibrium of a differential system in R2 is an equilibrium point whose linear part has eige...
Here we study the Lotka-Volterra systems in R3, i.e. the differential systems of the form dxi/dt = x...
In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an ar...
A zero-Hopf equilibrium of a differential system in R3 is an equilibrium point whose linear part has...
Agraïments: All authors has been partially supported Conacyt México, grant 128790We apply the averag...
We study the zero-Hopf bifurcation of the Rössler differential system x· = x − xy − z, y· = x − ay, ...
We study the limit cycles which can bifurcate from a zero--Hopf singularity of a C^m 1 differential ...
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Ho...
graïments/Ajudes: The second author is partially supported by Fondecyt project 1130644.A zero-Hopf e...
Agraïments: The second author has been partially supported by FCT through CAMGDS, Lisbon
Agraïments: The first author is supported by the FAPESP-BRAZIL grants 2010/18015-6, 2012/05635-1, an...
The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic...
We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z...
We prove that the Volterra-Gause system of predator-prey type exhibits 2 kinds of zero-Hopf bifurcat...