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An example of the transition from chaos to integrability in magnetic geodesic flows.

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Publication:556575
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DOI10.1023/B:MATN.0000043489.36311.1bzbMath1068.37019OpenAlexW2093846299MaRDI QIDQ556575

Iskander A. Taimanov

Publication date: 21 June 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000043489.36311.1b

zbMATH Keywords

integrable Hamiltonian systemgeodesic flowsymplectic manifoldAnosov flowmultivalued functional


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


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Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve \(\mu^{2}= \nu^{n}-1, n \in \mathbb Z\): ergodicity, isochrony and fractals, Trace formula for the magnetic Laplacian on a compact hyperbolic surface, On first integrals of geodesic flows on a two-torus, Magnetic Jacobi fields in 3-dimensional Sasakian space forms



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