Skip to main content

1991 | OriginalPaper | Buchkapitel

A Minimal Model for Spatio-Temporal Patterns in Thin Film Flow

verfasst von : H. S. Brown, I. G. Kevrekidis, M. S. Jolly

Erschienen in: Patterns and Dynamics in Reactive Media

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

We consider the development of spatio-temporal oscillations in the Kuramoto-Sivashinsky amplitude model of thin film flow. These develop from Hopf bifurcations off of steady state solutions and are observed to undergo symmetry breaking and period doubling bifurcations. Oscillatory branches in the parameter regime studied apparently terminate in Silnikov type homo-clinic connections. A minimal, three mode nonlinear Galerkin discretization, capable of capturing this bifurcation behavior is constructed. A simple shooting algorithm which exploits this sharp reduction in dimensionality is used to accurately locate the homoclinic connections.

Metadaten
Titel
A Minimal Model for Spatio-Temporal Patterns in Thin Film Flow
verfasst von
H. S. Brown
I. G. Kevrekidis
M. S. Jolly
Copyright-Jahr
1991
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-3206-3_2