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Periodic solutions of difference equations

โœ Scribed by Taishan Yi; Zhan Zhou

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

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โœฆ Synopsis

Consider the difference equation

arising as a discrete-time network of single neuron, where ฮฒ is the internal decay rate, g is a signal function with McCulloch-Pitts nonlinearity. For any positive integers k and m, necessary and sufficient conditions are obtained for ( * ) has a periodic solution of period 2k + 1 or 2 m . In addition, sufficient conditions are also given for ( * ) has a (2k + 1)2 m -periodic solution.

๐Ÿ“œ SIMILAR VOLUMES

Periodic solutions of difference equatio
Periodic solutions of difference equations with general periodicity
โœ R.P. Agarwal; Weinian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 389 KB

Motivated by [1], we study the existence of periodic solutions of a perturbed continuous difference equation of first order without the assumptions of one-periodicity. Moreover, we generalize our results to the case of higher-order difference equations. We also give an algorithm to estimate the boun