An example of a jump from chaos to integrability for magnetic geodesic flows
英文摘要：
It is proved that the motion of a charge particle on a hyperbolic oriented two-dimensional surface in a magnetic field given by the volume form of the hyperbolic metric is completely integrable on the energy levels E < 1/2 in terms of real-analytic integrals. However it was known that on the level E=1/2 every trajectory is transitive and the restrictions of this flow onto the levels E>1/2 are Anosov flows
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
