Density of Trajectories on the Border of Bunimovich Stadium

Student: Zamiatnina Elena

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Supercomputer Modeling in Science and Engineering (Master)

Year of Graduation: 2020

Bunimovich stadium is an example of a stochastic dynamic model with intermittency. Its fundamental difference from the Sinai hyperbolic stadium is the absence of local hyperbolicity. Interest in Bunimovich stadium does not fade away because of its’ connection with quantum stochastic mechanics. We set the task of numerically modeling the trajectories of Bunimovich stadium in order to find the probability density of reflections of the trajectories at the stadium boundary and the evolution of the probability density in time for a typical trajectory.

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