Reversibility, Continued Fractions, and Infinite Meander Permutations of Planar Homoclinic Orbits in Linear Hyperbolic Anosov Maps

DOI10.1142/S0218127414400082zbMath1300.37032MaRDI QIDQ2930469

Bernold Fiedler

Publication date: 19 November 2014

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

zbMATH Keywords

transverse homoclinic orbitsconjugation invariantsSturm permutations

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

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• Topological and dynamical classification of the unstable manifolds of one-rectangle systems
• Some unsolved problems in the theory of differential equations and mathematical physics
• Orbit equivalence of global attractors of semilinear parabolic differential equations
• Class numbers of indefinite binary quadratic forms

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