dorsal/arxiv
View SchemaA Phase Front Instability in Periodically Forced Oscillatory Systems
| Authors | Christian Elphick, Aric Hagberg, Ehud Meron |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9803002 |
| URL | https://arxiv.org/abs/patt-sol/9803002 |
| DOI | 10.1103/PhysRevLett.80.5007 |
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 $\omega_{forcing}/\omega_{system}=2n$ ($n>1$). 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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"abstract": "Multiplicity of phase states within frequency locked bands in periodically\nforced oscillatory systems may give rise to front structures separating states\nwith different phases. A new front instability is found within bands where\n$\\omega_{forcing}/\\omega_{system}=2n$ ($n\u003e1$). Stationary fronts shifting the\noscillation phase by $\\pi$ lose stability below a critical forcing strength and\ndecompose into $n$ traveling fronts each shifting the phase by $\\pi/n$. The\ninstability designates a transition from stationary two-phase patterns to\ntraveling $n$-phase patterns.",
"arxiv_id": "patt-sol/9803002",
"authors": [
"Christian Elphick",
"Aric Hagberg",
"Ehud Meron"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.80.5007",
"title": "A Phase Front Instability in Periodically Forced Oscillatory Systems",
"url": "https://arxiv.org/abs/patt-sol/9803002"
},
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