Simple examples of the derivation of amplitude equations for systems of equations possessing bifurcations
- 1 July 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 27 (1) , 48-65
- https://doi.org/10.1017/s0334270000004756
Abstract
The method of Coullet and Spiegel [3], which derives ordinary differential equations describing the time evolution of a system of partial differential equations when the system is near critical, is applied to some simple problems. These problems serve to illustrate simply many features of the method.Keywords
This publication has 2 references indexed in Scilit:
- An Introduction to the Technique of ReconstitutionSIAM Journal on Mathematical Analysis, 1985
- Amplitude Equations for Systems with Competing InstabilitiesSIAM Journal on Applied Mathematics, 1983