Subharmonic bifurcations of standing wave lattices in a driven ferrofluid system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 5, 2002, Pages

  Ko, Hee Kyoung ^a   Lee, Jysoo ^a,b   Lee, Kyoung J ^a  

^a Korea University   (South Korea)

^b Korea Institute of Science and Technology Information (KISTI)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); CAVITY RESONATORS; FLOW OF FLUIDS; FOURIER TRANSFORMS; MAGNETIC FIELDS; MATHEMATICAL MODELS; PHASE DIAGRAMS; WAVES;

FERROFLUID SYSTEM; RESONANT MODE INTERACTIONS; TEMPORAL EVOLUTIONS; WAVE LATTICES;

SUPERLATTICES;

EID: 37649030040     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.056222     Document Type: Article

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23. 2 represent the base state, subharmonic state, and sub-subharmonic state, respectively. The subsequent alphabet represents the symmetry of the involved lattice (e.g., H represents hexagon, S represents square, and R represents rhombus) and the temporal behavior (small letter: harmonic in time to the magnetic ac forcing, capital letter: subharmonic to the forcing). The following additional subscripts are used when necessary (i for isotropic, a for anisotropic, 1 for 1st kind, and 2 for 2nd kind).
24. c.
25. Our 1 R pattern has the same origin of the "two-mode rhomboid" (2kR) pattern described in Ref. [12] except that all four Fourier modes of the 1 R pattern are resonant modes whereas only two out of four are such for the 2kR pattern.
26. c]=0.02.