40 citations · 40 across the 2 of their papers we have counts for
2 papers
chao-dyn1998
Amplitude Equations for Reaction-Diffusion Systems with a Hopf Bifurcation and Slow Real Modes
M. Ipsen, F. Hynne, P. G. Soerensen
Using a normal form approach described in a previous paper we derive an amplitude equation for a reaction-diffusion system with a Hopf bifurcation coupled to one or more slow real…
chao-dyn1998★ 40 cited
Systematic Derivation of Amplitude Equations and Normal Forms for Dynamical Systems
M. Ipsen, F. Hynne, P. G. Soerensen
We present a systematic approach to deriving normal forms and related amplitude equations for flows and discrete dynamics on the center manifold of a dynamical system at local bifu…