Every period annulus is both reversible and symmetric

2015/04/17 by Sabatini, Marco
#34C14 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.04530

Abstract

We prove that for every planar differential system with a period annulus there exists an involution σ such that the system is σ-symmetric. We also prove that for for every planar differential system with a period annulus there exist infinitely many involutions σ such that the system is σ-reversible.

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