193 citations · 418 across the 7 of their papers we have counts for
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chao-dyn1999★ 25 cited
Finite Wavelength Instabilities in a Slow Mode Coupled Complex Ginzburg-Landau Equation
M. Ipsen, P. G. Soerensen
In this letter, we discuss the effect of slow real modes in reaction-diffusion systems close to a supercritical Hopf bifurcation. The spatio-temporal effects of the slow mode canno…
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…