Linearizability and critical period bifurcations of a generalized Riccati system

2017/02/17 by Valery G. Romanovski, Wilker Fernandes, Romanovski, Valery G. +5
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1702.05365

openalex publication_date 2017/02/17 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/01

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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