Dynamics of phase singularities in two-dimensional oscillating systems

Christian Elphick; Ehud Meron

doi:10.1016/0167-2789(91)90070-P

Dynamics of phase singularities in two-dimensional oscillating systems

Christian Elphick, Ehud Meron

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We study the dynamics of vortices that arise in two-dimensional nonequilibrium systems above a Hopf bifurcation to uniform, temporal oscillations. Evolution equations for the vortex positions and for a global phase field are derived and used to study vortex interactions. We suggest that the interactions need not be purely attractive or repulsive; bound vortex pairs can exist, which either precess around fixed points in the plane, or drift in directions perpendicular to the inter-vortex axes.

Original language	English
Pages (from-to)	385-399
Number of pages	15
Journal	Physica D: Nonlinear Phenomena
Volume	53
Issue number	2-4
DOIs	https://doi.org/10.1016/0167-2789(91)90070-P
State	Published - 1 Jan 1991
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(91)90070-P

Cite this

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title = "Dynamics of phase singularities in two-dimensional oscillating systems",

abstract = "We study the dynamics of vortices that arise in two-dimensional nonequilibrium systems above a Hopf bifurcation to uniform, temporal oscillations. Evolution equations for the vortex positions and for a global phase field are derived and used to study vortex interactions. We suggest that the interactions need not be purely attractive or repulsive; bound vortex pairs can exist, which either precess around fixed points in the plane, or drift in directions perpendicular to the inter-vortex axes.",

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AB - We study the dynamics of vortices that arise in two-dimensional nonequilibrium systems above a Hopf bifurcation to uniform, temporal oscillations. Evolution equations for the vortex positions and for a global phase field are derived and used to study vortex interactions. We suggest that the interactions need not be purely attractive or repulsive; bound vortex pairs can exist, which either precess around fixed points in the plane, or drift in directions perpendicular to the inter-vortex axes.

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Dynamics of phase singularities in two-dimensional oscillating systems

Abstract

ASJC Scopus subject areas

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