Polynomial vector fields on the Clifford torus
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Murza, Adrian C. (University of Texas at Dallas. Department of Mathematical Sciences (USA))

Date:	2021
Abstract:	First, we characterize all the polynomial vector fields in R4 which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Invariant parallels ; Invariant meridians ; Polynomial vector field ; Clifford torus
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 4 (March 2021) , art. 2150057, ISSN 1793-6551

DOI: 10.1142/S0218127421500577

Postprint 8 p, 299.6 KB

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