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              <p>We investigate the properties of a thin-walled superconducting shell placed in electrical contact with a ferromagnetic cylinder embedded in the superconductor. The case of a superconductor surrounded by the ferromagnet is also considered. Associated with the orbital effect, spontaneous vortex states may appear, characterized by different winding numbers. Special attention is paid to the switching between states of different vorticities and to the behaviour of the critical temperature caused by an external field.</p>
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