A necessary and sufficient condition for the period function’s monotonicity on a period annulus is given. The approach is based on normalizers’ theory, but is applicable without actually knowing a normalizer. Some applications to polynomial and Hamiltonian systems are presented.
On the period function of planar systems with unknown normalizers
Sabatini, Marco
2006-01-01
Abstract
A necessary and sufficient condition for the period function’s monotonicity on a period annulus is given. The approach is based on normalizers’ theory, but is applicable without actually knowing a normalizer. Some applications to polynomial and Hamiltonian systems are presented.File in questo prodotto:
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