Linearizability and critical period bifurcations of a generalized Riccati system
VG Romanovski, W Fernandes, Y Tang, Y Tian�- Nonlinear Dynamics, 2017 - Springer
VG Romanovski, W Fernandes, Y Tang, Y Tian
Nonlinear Dynamics, 2017•SpringerIn this paper, we investigate the isochronicity and linearizability problem for a cubic
polynomial differential system which can be considered as a generalization of the Riccati
system. Conditions for isochronicity and linearizability are found. The global structure of
systems of the family with an isochronous center is determined. Furthermore, we find the
order of weak center and study the problem of local bifurcation of critical periods in a
neighborhood of the center.
polynomial differential system which can be considered as a generalization of the Riccati
system. Conditions for isochronicity and linearizability are found. The global structure of
systems of the family with an isochronous center is determined. Furthermore, we find the
order of weak center and study the problem of local bifurcation of critical periods in a
neighborhood of the center.
Abstract
In this paper, we investigate the isochronicity and linearizability problem for a cubic polynomial differential system which can be considered as a generalization of the Riccati system. Conditions for isochronicity and linearizability are found. The global structure of systems of the family with an isochronous center is determined. Furthermore, we find the order of weak center and study the problem of local bifurcation of critical periods in a neighborhood of the center.
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