On the monotonicity criteria of the period function of potential systems

2012/09/06 by A. Raouf Chouikha, Chouikha, A. Raouf
Chemistry · Mathematics · Physics and Astronomy · #34C05 #34C25 #34C35 #Chemical Thermodynamics and Molecular Structure #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #math-ph #math.CA #math.DS #math.MP #msc:34C05 #msc:34C25 #msc:34C35

paper · pdf · doi:10.48550/arxiv.1209.1271

9 pages

arxiv created 2012/09/06 · openalex publication_date 2012/09/06 · arxiv updated 2012/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to study various monotonicity conditions of the period function T(c) (energy-dependent) for potential systems x + g(x)=0 with a center at the origin 0. We had before identified a family of new criteria noted by (C_n) which are sometimes thinner than those previously known (\it Period function and characterizations of Isochronous potentials arXiv:1109.4611). This fact will be illustrated by examples.

Citations

• Period function and characterizations of Isochronous potentials

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