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Titolo:
Surface waves in a square container due to resonant horizontal oscillations
Autore:
Yoshimatsu, K; Funakoshi, M;
Indirizzi:
Kyoto Univ, Grad Sch Informat, Dept Appl Anal & Complex Dynam Syst, Kyoto 6068501, Japan Kyoto Univ Kyoto Japan 6068501 Complex Dynam Syst, Kyoto 6068501, Japan
Titolo Testata:
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
fascicolo: 2, volume: 70, anno: 2001,
pagine: 394 - 406
SICI:
0031-9015(200102)70:2<394:SWIASC>2.0.ZU;2-G
Fonte:
ISI
Lingua:
ENG
Soggetto:
NONLINEAR FARADAY RESONANCE; CIRCULAR-CYLINDER; WATER-WAVES; BIFURCATIONS; SYMMETRY; DYNAMICS;
Keywords:
forced waves; gravity waves; horizontal oscillation; square container; bifurcation;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
24
Recensione:
Indirizzi per estratti:
Indirizzo: Yoshimatsu, K Kyoto Univ, Grad Sch Informat, Dept Appl Anal & Complex Dynam Syst, Kyoto 6068501, Japan Kyoto Univ Kyoto Japan 6068501 Syst, Kyoto 6068501, Japan
Citazione:
K. Yoshimatsu e M. Funakoshi, "Surface waves in a square container due to resonant horizontal oscillations", J PHYS JPN, 70(2), 2001, pp. 394-406

Abstract

Resonantly forced water waves in a square container due to its horizontal oscillations are examined. The excited waves are assumed to be gravity waves for infinite depth. Using the reductive perturbation method and includingthe effect of a linear damping, we derive an evolution equation for the complex amplitudes of two degenerate resonant modes. When the angle theta between the direction of the oscillations and that along one of the sidewalls of the container is 0 degrees or 45 degrees, we obtain planar stationary solutions without the rotation of wave pattern as well as a pair BE non-planar ones associated with the clockwise or anti-clockwise rotation. If 0 degrees < <theta> < 45<degrees>, however, no planar stationary solution exists, and the symmetry between these non-planar solutions for theta = 0 degrees or 45 degrees is broken. We find the pitchfork bifurcations of the stationary solution for theta = 0 degrees and 45 degrees, and also the Hopf and saddle-node bifurcations of this solution for 0 degrees < <theta> < 45<degrees>. Furthermore, periodic or chaotic solutions exist within the parameter region of no stable stationary solution for any theta. The obtained bifurcations of the stationary solutions are found to be a little more complicated than those for a circular cylinder.

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Documento generato il 01/10/20 alle ore 07:43:48