FORBIDDEN SETS OF PLANAR RATIONAL SYSTEMS OF DIFFERENCE EQUATIONS WITH COMMON DENOMINATOR

Applicable Analysis and Discrete Mathematics

article

Ignacio Bajo¹ 

[1] Depto. Matem´atica Aplicada II, E.I. Telecomunicaci´on, Campus Marcosende, Universidad de Vigo

关键词: Difference equations;    rational system;    forbidden set;    affine transformations;   

DOI  :  10.2298/AADM131108022B

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

The forbidden sets of systems of first order rational difference equations inthe plane in which the denominators are common for all the componentsof the system is studied. Such forbidden sets are composed of lines which,depending of some spectral properties of an associated matrix, can either bea finite number or lines or an infinity of lines converging to either an invariantline or to a finite number of lines itersecting in a fixed point or else it can bedense in a large subset of R2.

【 授权许可】

Unknown