193 citations · 418 across the 7 of their papers we have counts for
7 papers
Semi-Empirical Model for Nano-Scale Device Simulations
Kurt Stokbro, Dan Erik Petersen, Søren Smidstrup +3
We present a new semi-empirical model for calculating electron transport in atomic-scale devices. The model is an extension of the Extended Hückel method with a self-consistent Har…
Evolutionary reconstruction of networks
Mads Ipsen, Alexander S. Mikhailov
Can a graph specifying the pattern of connections of a dynamical network be reconstructed from statistical properties of a signal generated by such a system? In this model study, w…
Composite "zigzag" structures in the 1D complex Ginzburg-Landau equation
Mads Ipsen, Martin van Hecke
We study the dynamics of the one-dimensional complex Ginzburg Landau equation (CGLE) in the regime where holes and defects organize themselves into composite superstructures which…
Breakdown of universality in transitions to spatio-temporal chaos
Tomas Bohr, Martin van Hecke, Rene' Mikkelsen +1
In this Letter we show that the transition from laminar to active behavior in extended chaotic systems can vary from a continuous transition in the universality class of Directed P…
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…
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…
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…