## Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill’s equations with indefinite weight

by
Duccio Papini
,
Fabio Zanolin

Venue: | Georgian Mathematical J |

Citations: | 4 - 3 self |

### BibTeX

@ARTICLE{Papini_periodicpoints,

author = {Duccio Papini and Fabio Zanolin},

title = {Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill’s equations with indefinite weight},

journal = {Georgian Mathematical J},

year = {},

pages = {339--366}

}

### OpenURL

### Abstract

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.