title: Snap-back repellers and chaotic attractors.
abstract: When homoclinic orbits to an expanding periodic point exist, the point is called a snap-back repeller. Here, we consider the two-dimensional piecewise-linear map in canonical form, continuous and discontinuous, showing how snap-back repellers may be associated with robust chaotic attracting sets (not only with chaotic repellers). Examples are given both for the continuous and discontinuous maps.
authors.affiliation: Department of Economics and Quantitative Methods, University of Urbino, Urbino, Italy. laura.gardini@uniurb.it
authors.forename: Laura
authors.initials: L
authors.lastname: Gardini
authors.forename: Fabio
authors.initials: F
authors.lastname: Tramontana