Forbidden sets of planar rational systems of difference equations with common denominator | Zendy

Ignacio Bajo | Zendy

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Forbidden sets of planar rational systems of difference equations with common denominator

Author(s) -

Ignacio Bajo

Publication year - 2013

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm131108022b

Subject(s) - mathematics , planar , complex plane , invariant (physics) , plane (geometry) , finite set , infinity , line (geometry) , pure mathematics , mathematical analysis , matrix (chemical analysis) , geometry , mathematical physics , materials science , computer graphics (images) , composite material , computer science

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

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