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Magnetic field is unstable in a medium with time-independent chiralconductivity. Owing to the chiral anomaly, the electromagnetic field and themedium exchange helicity which results in time-evolution of the chiralconductivity. Using the fastest growing momentum and helicity state of thevector potential as an ansatz, the time-evolution of the chiral conductivityand magnetic field is solved analytically. The solution for the hot and coldequations of state shows that the magnetic field does not develop aninstability due to he helicity conservation. Moreover, it develops a peak onlyif a significant part of the \emph{initial} helicity is stored in the medium.The initial helicity determines the height and position of the peak.

Taming instability of magnetic field in chiral medium