On the period function of planar systems with unknown normalizers
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Abstract:
A necessary and sufficient condition for the period function’s monotonicity on a period annulus is given. The approach is based on the theory of normalizers, but is applicable without actually knowing a normalizer. Some applications to polynomial and Hamiltonian systems are presented.References
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Additional Information
- M. Sabatini
- Affiliation: Department of Mathematics, University of Trento, via Sommarive 14, I-38050, Povo, Italy
- Received by editor(s): June 25, 2004
- Received by editor(s) in revised form: July 8, 2004, and September 29, 2004
- Published electronically: July 21, 2005
- Additional Notes: This work was partially supported by the COFIN group “Equazioni differenziali ordinarie e applicazioni”, and by the intergroup project “Dinamica anolonoma, perturbazioni e orbite periodiche”.
- Communicated by: Carmen C. Chicone
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 531-539
- MSC (2000): Primary 34C05
- DOI: https://doi.org/10.1090/S0002-9939-05-08032-9
- MathSciNet review: 2176022