Phase instabilities of oscillatory standing squares and alternating rolls
Phase instabilities of oscillatory standing squares and alternating rolls
The stability of standing squares and alternating rolls is investigated within the framework of the lowest-order amplitude equations describing the interaction of right-, left-, up-, and down-traveling waves on a square lattice. It is found that a standing-square or alternating-roll pattern is subject to a stationary rectangular phase instability and an oscillatory phase instability. The rectangular mode is locally equivalent to a stretching along one coordinate axis and contraction along the orthogonal axis. The oscillatory instability is locally equivalent to the coordinate axes rotating towards or away from each other, and leads to quasiperiodic temporal oscillations of the bifurcated state.
2875-2880
Hoyle, R. B.
e980d6a8-b750-491b-be13-84d695f8b8a1
1 April 1994
Hoyle, R. B.
e980d6a8-b750-491b-be13-84d695f8b8a1
Hoyle, R. B.
(1994)
Phase instabilities of oscillatory standing squares and alternating rolls.
Physical Review E, 49 (4), .
(doi:10.1103/PhysRevE.49.2875).
Abstract
The stability of standing squares and alternating rolls is investigated within the framework of the lowest-order amplitude equations describing the interaction of right-, left-, up-, and down-traveling waves on a square lattice. It is found that a standing-square or alternating-roll pattern is subject to a stationary rectangular phase instability and an oscillatory phase instability. The rectangular mode is locally equivalent to a stretching along one coordinate axis and contraction along the orthogonal axis. The oscillatory instability is locally equivalent to the coordinate axes rotating towards or away from each other, and leads to quasiperiodic temporal oscillations of the bifurcated state.
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Published date: 1 April 1994
Organisations:
Mathematical Sciences
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Local EPrints ID: 380304
URI: http://eprints.soton.ac.uk/id/eprint/380304
ISSN: 1539-3755
PURE UUID: fb5d0aad-8701-4f6a-96bc-cabfc1124556
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Date deposited: 12 Aug 2015 09:23
Last modified: 15 Mar 2024 03:36
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