COMPLETE PERIODICITY ANALYSIS FOR A DISCONTINUOUS RECURRENCE EQUATION-Reference-Cited by-同舟云学术

COMPLETE PERIODICITY ANALYSIS FOR A DISCONTINUOUS RECURRENCE EQUATION

Published:2013-04 Issue:04 Volume:23 Page:1330012
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CHANG YEN CHIH¹,CHENG SUI SUN²

Affiliation:

1. Department of Industrial Engineering and Engineering Management, Tsing Hua University, Hsinchu, Taiwan 30043, R. O. C.

2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R. O. C.

Abstract

A nonlinear three-term recurrence relation arising from seeking the steady states of a cellular neural network with bang bang control is studied. A complete analysis of its periodic behavior is given. In particular, we show that each solution is periodic and its prime period can be determined by two of its consecutive terms. By means of our periodicity analysis, we may then solve the steady state problem which to our knowledge is not solved by other means.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413300127

Reference2 articles.

1. Complete set of periodic solutions of a discontinuous recurrence equation

2. Periodic solutions of a bang bang recurrence equation with least periods 1 through 8

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