On the Periods of Parallel Dynamical Systems. (12th January 2017)

• Record Type: Journal Article
• Authors: Aledo, Juan A.; Diaz, Luis G.; Martinez, Silvia; Valverde, Jose C.
• Other Names: Arroyo David Academic Editor.
• Is Part Of: Complexity. Volume 2017(2017)
• Publication Date: 2017-01-12
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2017/7209762
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this work, we provide conditions to obtain fixed point theorems for parallel dynamical systems over graphs with (Boolean) maxterms and minterms as global evolution operators. In order to do that, we previously prove that periodic orbits of different periods cannot coexist, which implies that Sharkovsky's order is not valid for this kind of dynamical systems.