Nonlinear Dynamics

, Volume 77, Issue 3, pp 1035–1045 | Cite as

Genus for knots and links in renormalizable templates with several branch nodes

  • Pedro Simões
  • Luís Silva
  • Nuno Franco
Original Paper


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.


Nonautonomous dynamical systems Piecewise monotonous maps Renormalization Knots 



Luís Silva and Nuno Franco were partially supported by FCT-Portugal.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ÉvoraÉvoraPortugal
  2. 2.CIMA-UE and Department of MathematicsISEL - Lisbon Superior Engineering InstituteLisboaPortugal
  3. 3.CIMA-UE and Department of MathematicsUniversity of ÉvoraÉvoraPortugal

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