A Phase Front Instability in Periodically Forced Oscillatory Systems

Abstract

Multiplicity of phase states within frequency locked bands in periodically forced oscillatory systems may give rise to front structures separating states with different phases. A new front instability is found within bands where $ω_{forcing}/ω_{system}=2n$ ($n>1$). Stationary fronts shifting the oscillation phase by $π$ lose stability below a critical forcing strength and decompose into $n$ traveling fronts each shifting the phase by $π/n$. The instability designates a transition from stationary two-phase patterns to traveling $n$-phase patterns.