On an example of a transition from chaos to integrability for magnetic geodesic flows
نویسنده
چکیده
In this paper we give an example of a real-analytic Hamiltonian system whose restrictions onto different energy levels are Anosov flows for E > Ecr, have only transitive trajectories for E = Ecr and are analytically integrable for E < Ecr where E|mathrmcr is some critical level of energy. This gives a simple example of a transition from chaos to integrability (on a fixed energy level) via a passing of the energy through the critical level. We have
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