Stability of steady cross waves: Theory and experiment

Seth Lichter; Andrew J. Bernoff

doi:10.1103/PhysRevA.37.1663

Stability of steady cross waves: Theory and experiment

Seth Lichter^*, Andrew J. Bernoff

^*Corresponding author for this work

Mechanical Engineering

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

13 Scopus citations

Abstract

A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.

Original language	English (US)
Pages (from-to)	1663-1667
Number of pages	5
Journal	Physical Review A
Volume	37
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.37.1663
State	Published - 1988

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Access to Document

10.1103/PhysRevA.37.1663

Cite this

@article{c9f48a0caf994c5fb51e462f75b4a73a,

title = "Stability of steady cross waves: Theory and experiment",

abstract = "A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.",

author = "Seth Lichter and Bernoff, {Andrew J.}",

year = "1988",

doi = "10.1103/PhysRevA.37.1663",

language = "English (US)",

volume = "37",

pages = "1663--1667",

journal = "Physical Review A",

issn = "2469-9926",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Stability of steady cross waves

T2 - Theory and experiment

AU - Lichter, Seth

AU - Bernoff, Andrew J.

PY - 1988

Y1 - 1988

N2 - A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.

AB - A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.

UR - http://www.scopus.com/inward/record.url?scp=24244463637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24244463637&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.37.1663

DO - 10.1103/PhysRevA.37.1663

M3 - Article

AN - SCOPUS:24244463637

SN - 2469-9926

VL - 37

SP - 1663

EP - 1667

JO - Physical Review A

JF - Physical Review A

IS - 5

ER -

Stability of steady cross waves: Theory and experiment

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this