Biperiodicity in neutral-type delayed difference neural networks

Abstract

In this article we employ Krasnoselskii's fixed point theorem to obtain new biperiodicity criteria for neutral-type difference neural networks with delays. It is shown that the neutral-type term can leads to biperiodicity results. That is coexistence of a positive periodic sequence solution and its anti-sign periodic sequence solution. We illustrate our novel approach the biperiodicity dynamics of biperiodicity for neutral-type delay difference neural networks by two computer numerical examples. Mathematics Subject Classification 2010: 39A23; 39A10.

Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign

“…Systems (1) and (3) have been investigated by many authors using various methods, see [1][2][3][4][5]. The dynamical behavior of differential and difference equations was studied by using various methods, and many interesting results have obtained, see [6][7][8][9][10] and references therein. The critical point theory [11][12][13][14] is a useful tool to investigate differential equations.…”

Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems

“…This approach is different from the direct method of variations; some scholars applied it to consider the periodic solutions, subharmonic solutions with prescribed minimal period of Hamiltonian systems; one can refer to [3,5,[12][13][14] and references therein. The dynamical behavior of differential and difference equations was studied by using various methods; see [15][16][17][18][19]. We refer the reader to Agarwal [20] for a broad introduction to difference equations.…”