Abstract
We analyse resonant triad interactions in symmetric systems. The case of coupling at quadratic order in amplitudes and the case of coupling at cubic order are considered. We study modulated travelling waves and heteroclinic cycles in amplitude equations and we discuss their stability types. We describe possible dynamical regimes and spatial patterns arising from triad interactions of long waves in rapidly rotating Hagen-Poiseuille flow.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 267-310 |
| Number of pages | 44 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 54 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jan 2 1992 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Applied Mathematics
- Statistical and Nonlinear Physics
Cite this
Resonant triad interactions in symmetric systems. / Guckenheimer, John; Mahalov, Alex.
In: Physica D: Nonlinear Phenomena, Vol. 54, No. 4, 02.01.1992, p. 267-310.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Resonant triad interactions in symmetric systems
AU - Guckenheimer, John
AU - Mahalov, Alex
PY - 1992/1/2
Y1 - 1992/1/2
N2 - We analyse resonant triad interactions in symmetric systems. The case of coupling at quadratic order in amplitudes and the case of coupling at cubic order are considered. We study modulated travelling waves and heteroclinic cycles in amplitude equations and we discuss their stability types. We describe possible dynamical regimes and spatial patterns arising from triad interactions of long waves in rapidly rotating Hagen-Poiseuille flow.
AB - We analyse resonant triad interactions in symmetric systems. The case of coupling at quadratic order in amplitudes and the case of coupling at cubic order are considered. We study modulated travelling waves and heteroclinic cycles in amplitude equations and we discuss their stability types. We describe possible dynamical regimes and spatial patterns arising from triad interactions of long waves in rapidly rotating Hagen-Poiseuille flow.
UR - http://www.scopus.com/inward/record.url?scp=0038868531&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0038868531&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(92)90040-T
DO - 10.1016/0167-2789(92)90040-T
M3 - Article
AN - SCOPUS:0038868531
VL - 54
SP - 267
EP - 310
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 4
ER -