corner
corner
APS » Journals » Phys. Rev. E » Volume 81 » Issue 4
< Previous Article | Next Article >

Phys. Rev. E 81, 046202 (2010) [5 pages]

Snap-back repellers and chaotic attractors

Abstract
References
No Citing Articles
Download: PDF (381 kB) Buy this article Export: BibTeX or EndNote (RIS)

Laura Gardini*
Department of Economics and Quantitative Methods, University of Urbino, Urbino, Italy

Fabio Tramontana†
Department of Economics, University of Ancona, Ancona, Italy and Department of Economics and Quantitative Methods, University of Urbino, Urbino, Italy

Received 1 February 2010; revised 27 February 2010; published 7 April 2010

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.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.81.046202
DOI:
10.1103/PhysRevE.81.046202
PACS:
05.45.-a

*laura.gardini@uniurb.it

†f.tramontana@univpm.it

 
< Previous Article | Next Article >