Asynchronous networks: modularization of dynamics theorem. (6th January 2017)

• Record Type: Journal Article
• Authors: Bick, Christian; Field, Michael
• Is Part Of: Nonlinearity. Volume 30:Number 2(2017:Feb.)
• Page Start: 595
• Page End: 621
• Publication Date: 2017-01-06
• Subjects: functional network -- feedforward network -- asynchronous network -- dynamical deadlock; 34A34 -- 34A36 -- 37N25 -- 37N35 -- 93A30; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/aa4f4d
• Languages: English
• ISSNs: 0951-7715

Abstract

Abstract: Building on the first part of this paper, we develop the theory of functional asynchronous networks. We show that a large class of functional asynchronous networks can be (uniquely) represented as feedforward networks connecting events or dynamical modules. For these networks we can give a complete description of the network function in terms of the function of the events comprising the network: the modularization of dynamics theorem. We give examples to illustrate the main results.