Funct. Mater. 2015; 22 (2): 233-244.
Triangular billiard in a constant field
[1] Institute for Single Crystals, STC "Institute for Single Crystals" National Academy of Sciences of Ukraine, Kharkiv 61001, Ukraine
[2] V.Karazin Kharkiv National University 4 Svobody Sq., Kharkiv 61022, Ukraine
[3] Universite de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Planetologie, 9 avenue du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France
The motion of a charged particle in a constant field inside the triangular region with elastically reflecting boundary is considered. The natural phase space is introduced and its properties are clarified. The dynamical map defining a motion of point in the phase space is derived analytically. The typical properties of trajectories and characteristic features of the phase portraits are found.
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