Abstract
The dynamical model of a particle moving in the magnetic field and wave packet field is discussed. Particle trajectories produce tilings with the same quasisymmetry on the phase plane as is, for example, in quasicrystals. This makes it possible to find the dynamical generator of quasisymmetry and to consider the quasisymmetry onset as the result of a weak interaction between a rotational symmetry and a translational symmetry. Such an interaction produces thin channels of chaotic dynamics of the particle in the phase space (stochastic web) which realizes the tiling of the plane with quasisymmetry.
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