A Phase Front Instability in Periodically Forced Oscillatory Systems

Details A Phase Front Instability in Periodically Forced Oscillatory Systems A Phase Front Instability in Periodically Forced Oscillatory Systems

1998-03-17

arxiv.org/abs/patt-sol/9803002v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevLett.80.5007

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 $\omega_{forcing}/\omega_{system}=2n$ ($n>1$). Stationary fronts shifting the oscillation phase by $\pi$ lose stability below a critical forcing strength and decompose into $n$ traveling fronts each shifting the phase by $\pi/n$. The instability designates a transition from stationary two-phase patterns to traveling $n$-phase patterns.

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