Period function of planar piecewise reversible quadratic systems
Abstract
Abstract This paper presents an analysis of lower bounds on local criticality within the family of piecewise quadratic reversible centers. Through a study of perturbations within this class, we determine that a minimum of five (in the linear case) or four (in the nonlinear case) local critical periods can bifurcate from the isochronous center. Notably, five represents the highest level of weakness observed in this context.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Mathematical Dynamics and Fractals
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- Research in the Mathematical Sciences
- Volume
- 13
- Issue
- 1
- Publication date
- 1 March 2026
- Language
- EN