Subharmonic bifurcations of standing wave lattices in a driven ferrofluid system

Hee Kyoung Ko, Jysoo Lee, Kyoung Jin Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Superlattice standing waves arising on the surface of ferrofluids that are driven by an ac magnetic field are investigated experimentally. Several different types are obtained through successive spatial period doublings, which are mediated by resonant mode interactions. The observed superlattices are quite diverse, depending on the relevant base Fourier modes, the orientation and the number of emerged subharmonic modes, and the phase difference among the involved modes all together. On the other hand, their temporal evolutions are all either period-1 (harmonic) or period-2 (subharmonic).

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume65
Issue number5
DOIs
Publication statusPublished - 2002 Jan 1

Fingerprint

Ferrofluid
Superlattices
ferrofluids
Subharmonics
Standing Wave
standing waves
Bifurcation
Mode Interaction
Period Doubling
Phase Difference
Harmonic
Magnetic Field
period doubling
superlattices
harmonics
magnetic fields
interactions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

@article{002abfd17ff9495a9bd1bb02533a054d,
title = "Subharmonic bifurcations of standing wave lattices in a driven ferrofluid system",
abstract = "Superlattice standing waves arising on the surface of ferrofluids that are driven by an ac magnetic field are investigated experimentally. Several different types are obtained through successive spatial period doublings, which are mediated by resonant mode interactions. The observed superlattices are quite diverse, depending on the relevant base Fourier modes, the orientation and the number of emerged subharmonic modes, and the phase difference among the involved modes all together. On the other hand, their temporal evolutions are all either period-1 (harmonic) or period-2 (subharmonic).",
author = "Ko, {Hee Kyoung} and Jysoo Lee and Lee, {Kyoung Jin}",
year = "2002",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.65.056222",
language = "English",
volume = "65",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Subharmonic bifurcations of standing wave lattices in a driven ferrofluid system

AU - Ko, Hee Kyoung

AU - Lee, Jysoo

AU - Lee, Kyoung Jin

PY - 2002/1/1

Y1 - 2002/1/1

N2 - Superlattice standing waves arising on the surface of ferrofluids that are driven by an ac magnetic field are investigated experimentally. Several different types are obtained through successive spatial period doublings, which are mediated by resonant mode interactions. The observed superlattices are quite diverse, depending on the relevant base Fourier modes, the orientation and the number of emerged subharmonic modes, and the phase difference among the involved modes all together. On the other hand, their temporal evolutions are all either period-1 (harmonic) or period-2 (subharmonic).

AB - Superlattice standing waves arising on the surface of ferrofluids that are driven by an ac magnetic field are investigated experimentally. Several different types are obtained through successive spatial period doublings, which are mediated by resonant mode interactions. The observed superlattices are quite diverse, depending on the relevant base Fourier modes, the orientation and the number of emerged subharmonic modes, and the phase difference among the involved modes all together. On the other hand, their temporal evolutions are all either period-1 (harmonic) or period-2 (subharmonic).

UR - http://www.scopus.com/inward/record.url?scp=85035298607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035298607&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.65.056222

DO - 10.1103/PhysRevE.65.056222

M3 - Article

AN - SCOPUS:37649030040

VL - 65

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

ER -