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Periodic orbits on discrete dynamical systems

โœ Scribed by Zhan Zhou

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
367 KB
Volume
45
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

this paper, we discuss the discrete dynamical system GL+1 = PGI -g(h), n=O,l,..., (*I arising as a discrete-time network of single neuron, where p is the internal decay rate, g is a signal function. First, we consider the case where g is of McCulloch-Pitts nonlinearity. Periodic orbits are discussed according to different range of p. Moreover, we can construct periodic orbits. Then, we consider the case where g is a sigmoid function. Sufficient conditions are obtained for (*) has periodic orbits of arbitrary periods and an example is also given to illustrate the theorem.

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