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We consider dynamics of charged particles frozen into the magnetic field of two linked circular loops localized in the perpendicular planes. At large distances, the magnetic field of this system is well equivalent to the dipolar one, so that the corresponding field lines wrap the surfaces topologically equivalent to tori covering the entire system. At the small distances, the field lines approximately wrap the deformed toroids covering each loop separately. The most interesting region is the space between two above-mentioned domains of regular dynamics. This is a stochastic region, involving the "magnetic islands".