Skip to Main Content
On the structure of attractors for discrete, periodically forced systems with applications to population modelsAuthor(s): James F. Selgrade; James H. Roberds
Source: Physica D. 158: 69-82
Publication Series: Miscellaneous Publication
PDF: View PDF (335 KB)
DescriptionThis work discusses the effects of periodic forcing on attracting cycles and more complicated attractors for autonomous systems of nonlinear difference equations. Results indicate that an attractor for a periodically forced dynamical system may inherit structure from an attractor of the autonomous (unforced) system and also from the periodicity of the forcing. In particular, a method is presented which shows that if the amplitude of the k-periodic forcing is small enough, then the attractor for the forced system is the union of k homeomorphic subsets. Examples from population biology and genetics indicate that each subset is also homeomorphic to the attractor of the original autonomous dynamical system.
- You may send email to email@example.com to request a hard copy of this publication.
- (Please specify exactly which publication you are requesting and your mailing address.)
- We recommend that you also print this page and attach it to the printout of the article, to retain the full citation information.
- This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.
CitationSelgrade, James F.; Roberds, James H. 2001. On the structure of attractors for discrete, periodically forced systems with applications to population models. Physica D. 158: 69-82
- Attractors for discrete periodic dynamical systems
- Dynamical Analysis of Density-dependent Selection in a Discrete one-island Migration Model
- Equilibrium and nonequilibrium attractors for a discrete, selection-migration model
XML: View XML