Authors: |
John E. Franke, James F. Selgrade |
Year: |
2003 |
Type: |
Scientific Journal |
Station: |
Southern Research Station |
Source: |
J. Math Anal. Appl. 286: 64-79 |
Abstract
A mathematical framework is introduced to study attractors of discrete, nonautonomous dynamical systems which depend periodically on time. A structure theorem for such attractors is established which says that the attractor of a time-periodic dynamical system is the unin of attractors of appropriate autonomous maps. If the nonautonomous system is a perturbation of an autonomous map, properties that the nonautonomous attractor inherits from the autonomous attractor are discussed.
Citation
Franke, John E.; Selgrade, James F. 2003. Attractors for discrete periodic dynamical systems. J. Math Anal. Appl. 286: 64-79