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On the period function of planar systems with unknown normalizers |
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| Authors: | M. Sabatini |
| Affiliation: | Department of Mathematics, University of Trento, via Sommarive 14, I-38050, Povo, Italy |
| 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. |
| Keywords: | Normalizer period annulus Hamiltonian system |
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