Patterns of desynchronization and resynchronization in heteroclinic networks. (20th December 2016)

• Record Type: Journal Article
• Authors: Field, M J
• Is Part Of: Nonlinearity. Volume 30:Number 2(2017:Feb.)
• Page Start: 516
• Page End: 557
• Publication Date: 2016-12-20
• Subjects: heteroclinic networks -- coupled cell systems -- realization of heteroclinic networks -- edge and face cycles; Primary: 37C37 -- 34D06 -- Secondary: 34D20; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/aa4f48
• Languages: English
• ISSNs: 0951-7715

Abstract

Abstract: We prove results that enable the efficient and natural realization of a large class of robust heteroclinic networks in coupled identical cell systems. We also propose some general conjectures that relate a natural and large class of robust heteroclinic networks that occur in networks modelled by equations of Lotka–Volterra type, and certain networks of symmetric systems, to robust heteroclinic networks in coupled cell networks.