Stable regions and singular trajectories in chaotic soft-wall billiards |
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| Institution: | 1. School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China;2. Laboratory of Solid State Microstructures and Innovation Center of Advanced Microstructures, Nanjing University, Nanjing, 210093, China;1. Laboratoire de Physique du Solide, Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, B.P. 1796, 30000 Fez-Atlas, Morocco;2. Laboratoire Systèmes et Environnements Durables, Université Privée de Fès, Lot. Quaraouiyine Route Ain Chkef, Fez, Morocco |
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| Abstract: | We present numerical and experimental results for the development of islands of stability in atom-optics billiards with soft walls. As the walls are soften, stable regions appear near singular periodic trajectories in converging (focusing) and dispersing billiards, and are surrounded by areas of “stickiness” in phase space. The size of these islands depends on the softness of the potential in a very sensitive way. |
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