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We theoretically investigate four types of dynamical instability, inparticular the periodic and oscillatory type $I_O$, in an anti-ferromagneticspin-1 Bose-Einstein condensate in a nonzero magnetic field, by employing thecoupled-mode theory and numerical method. This is in sharp contrast to thedynamical stability of the same system in zero field. Remarkably, a patterntransition from a periodic dynamical instability $I_O$ to a uniform one $III_O$occurs at a critical magnetic field. All the four types of dynamicalinstability and the pattern transition are ready to be detected in $^{23}$Nacondensates within the availability of the current experimental techniques.

Magnetic field induced dynamical instabilities in an anti-ferromagnetic spin-1 Bose-Einstein condensate