We prove some results about the existence of fixed points, periodic points and chaotic-like dynamics for a class of planar maps which satisfy a suitable property of “arc expansion” type. We also outline some applications to the nonlinear Hill’s equations with indefinite weight.
Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill's equations with indefinite weight / Papini, Duccio; Zanolin, F.. - In: GEORGIAN MATHEMATICAL JOURNAL. - ISSN 1072-947X. - 9:2(2002), pp. 339-366. [10.1515/GMJ.2002.339]
Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill's equations with indefinite weight
PAPINI, DUCCIO;
2002
Abstract
We prove some results about the existence of fixed points, periodic points and chaotic-like dynamics for a class of planar maps which satisfy a suitable property of “arc expansion” type. We also outline some applications to the nonlinear Hill’s equations with indefinite weight.
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