Destroying ergodicity in geodesic flows on surfaces

DOI10.1088/0951-7715/19/1/008zbMath1102.37019OpenAlexW2061343865MaRDI QIDQ5473335

Victor J. Donnay

Publication date: 20 June 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/19/1/008

zbMATH Keywords

perturbationshomoclinic connectionergodic geodesic flowhorseshoe mapselliptic periodic orbitspartially focusing systems

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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