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The multiple colliding laser pulse concept formulated in Ref. [1] isbeneficial for achieving an extremely high amplitude of coherentelectromagnetic field. Since the topology of electric and magnetic fieldsoscillating in time of multiple colliding laser pulses is far from trivial andthe radiation friction effects are significant in the high field limit, thedynamics of charged particles interacting with the multiple colliding laserpulses demonstrates remarkable features corresponding to random walktrajectories, limit circles, attractors, regular patterns and Levy flights.Under extremely high intensity conditions the nonlinear dissipation mechanismstabilizes the particle motion resulting in the charged particle trajectorybeing located within narrow regions and in the occurrence of a new class ofregular patterns made by the particle ensembles.

Radiating Electron Interaction with Multiple Colliding Electromagnetic  Waves: Random Walk Trajectories, Levy Flights, Limit Circles, and Attractors  (Survey of the Structurally Determinate Patterns)