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Attractors for discrete periodic dynamical systems

✍ Scribed by John E. Franke; James F. Selgrade

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
282 KB
Volume
286
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 union 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. Examples from population biology are presented.

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