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Authors
Advisor(s)
Abstract(s)
We apply kneading theory to describe the knots and links generated by the iteration of renormalizable nonautonomous dynamical systems with reducible kneading invariants, in terms of the links corresponding to each factor. As a consequence we obtain explicit formulas for the genus for this kind of knots and links.
Description
Keywords
Non-Autonomous Dynamical Systems Piecewise Monotonous Maps Renormalization Knots
Citation
SIMÕES, Pedro; SILVA, Luís Manuel Ferreira da; FRANCO, Nuno – Genus for knots and links in renormalizable templates with several branch nodes. Nonlinear Dynamics. ISSN: 0924-090X. Vol. 77, N.º 3 (2014), pp. 1035-1045.
Publisher
Springer