【摘 要】
：
For a monotone twist map,under certain non-degenerate condition,we showed the exis-tence of infinitely many homoclinic and heteroclinic orbits between two periodic neighboring minimal orbits with the same rotation number,which indicates chaotic dynamics.O
【机 构】
：
Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300071,P.R.China
论文部分内容阅读
For a monotone twist map,under certain non-degenerate condition,we showed the exis-tence of infinitely many homoclinic and heteroclinic orbits between two periodic neighboring minimal orbits with the same rotation number,which indicates chaotic dynamics.Our results also apply to geodesics of smooth Riemannian metrics on the two-dimension torus.
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