Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling

Pan Jun Kim; Tae Wook Ko; Hawoong Jeong; Hie Tae Moon

doi:10.1103/PhysRevE.70.065201

Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling

Pan Jun Kim, Tae Wook Ko, Hawoong Jeong^*, Hie Tae Moon

^*Corresponding author for this work

Department of Biology

Research output: Contribution to journal › Journal article › peer-review

3 Citations (Scopus)

Abstract

We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike pinwheels, (anti)spirals with phase-randomized cores, and antiferro patterns embedded in (anti)spirals. We consider the symmetry properties of the system to explain the observed behaviors, and estimate the wavelengths of the patterns by linear analysis. Finally, we point out the implications of our work for biological neural networks.

Original language	English
Article number	065201
Number of pages	4
Journal	Physical Review E
Volume	70
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.70.065201
Publication status	Published - 27 Dec 2004

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.70.065201

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title = "Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling",

abstract = "We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike pinwheels, (anti)spirals with phase-randomized cores, and antiferro patterns embedded in (anti)spirals. We consider the symmetry properties of the system to explain the observed behaviors, and estimate the wavelengths of the patterns by linear analysis. Finally, we point out the implications of our work for biological neural networks.",

author = "Kim, {Pan Jun} and Ko, {Tae Wook} and Hawoong Jeong and Moon, {Hie Tae}",

note = "P.K. and H.J. acknowledge financial support from the Ministry of Information and Communication of Korea through Grant No. IMT2000-B3-2. T.K. and H.M. acknowledge support from the Basic Research Program of KOSEF through Grant No. R01-1999-000-00019-0 (2002).",

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T1 - Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling

AU - Kim, Pan Jun

AU - Ko, Tae Wook

AU - Jeong, Hawoong

AU - Moon, Hie Tae

N1 - P.K. and H.J. acknowledge financial support from the Ministry of Information and Communication of Korea through Grant No. IMT2000-B3-2. T.K. and H.M. acknowledge support from the Basic Research Program of KOSEF through Grant No. R01-1999-000-00019-0 (2002).

PY - 2004/12/27

Y1 - 2004/12/27

N2 - We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike pinwheels, (anti)spirals with phase-randomized cores, and antiferro patterns embedded in (anti)spirals. We consider the symmetry properties of the system to explain the observed behaviors, and estimate the wavelengths of the patterns by linear analysis. Finally, we point out the implications of our work for biological neural networks.

AB - We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike pinwheels, (anti)spirals with phase-randomized cores, and antiferro patterns embedded in (anti)spirals. We consider the symmetry properties of the system to explain the observed behaviors, and estimate the wavelengths of the patterns by linear analysis. Finally, we point out the implications of our work for biological neural networks.

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DO - 10.1103/PhysRevE.70.065201

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SN - 2470-0045

VL - 70

JO - Physical Review E

JF - Physical Review E

IS - 6

M1 - 065201

ER -

Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling

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