UNIVERSAL FORM OF RENORMALIZABLE KNOTS IN SYMBOLIC DYNAMICS OF BIMODAL MAPS

DOI10.1142/S0218127413501605zbMath1277.37021MaRDI QIDQ2866062

Wen Gao, Chuan-Yun Xu, Shou-Li Peng, Ke-Fei Cao

Publication date: 13 December 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicsbimodal mapelementary templaterenormalizable knot

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Symbolic dynamics (37B10)

Cites Work

• Knot theory based on the minimal braid in Lorenz system
• Knotted periodic orbits in suspensions of Smale's horseshoe: period multiplying and cabled knots
• Knots, links, and symbolic dynamics
• Topological methods in surface dynamics
• The generalized Milnor-Thurston conjecture and equal topological entropy class in symbolic dynamics of order topological space of three letters
• From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings
• From template analysis to generating partitions. II: Characterization of the symbolic encodings
• Knotted periodic orbits in dynamical systems. I: Lorenz's equations
• Dual star products and metric universality in symbolic dynamics of three letters.
• On entropy and monotonicity for real cubic maps (with an appendix by Adrien Douady and Pierrette Sentenac)
• An equation for continuous chaos
• Topological invariants in nonlinear boundary value problems
• Theory of braids
• Topological analysis of chaotic dynamical systems
• On the topology of the Henon map
• The universal templates of Ghrist
• AN ODE WHOSE SOLUTIONS CONTAIN ALL KNOTS AND LINKS
• TRIMODAL MAPS

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