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One usually thinks that when the  magnets   move one from another, it is always possible to distinguish symmetrical trajectory sectors, such that  

      if on the first sector the magnetic energy is transformed into kinetic energy,  

      then on the second sector the kinetic energy transforms into magnetic energy  

      so that the law of energy conservation is fulfilled

The idea of asymmetrical (in this sense) trajectories is contrary to this law and hence isn't considered.  But if we assume that magnetic energy may be replenished from other energy sources, then "self-inflicted ban" on such trajectories analysis is lifted.   Further it is shown that in Searle's generator ===> the magnets are moving along such trajectories.