24 citations · 40 across the 6 of their papers we have counts for
8 papers
Schur reduction of trees and extremal entries of the Fiedler vector
Hannes Gernandt, Jan Philipp Pade
We study the eigenvectors of Laplacian matrices of trees. The Laplacian matrix is reduced to a tridiagonal matrix using the Schur complement. This preserves the eigenvectors and al…
The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks
Jan Philipp Pade, Camille Poignard, Tiago Pereira
We investigate the effects of structural perturbations of both, undirected and directed diffusive networks on their ability to synchronize. We establish a classification of directe…
Spectra of Laplacian matrices of weighted graphs: structural genericity properties
Camille Poignard, Tiago Pereira, Jan Philipp Pade
This article deals with the spectra of Laplacians of weighted graphs. In this context, two objects are of fundamental importance for the dynamics of complex networks: the second ei…
The dynamical impact of a shortcut in unidirectionally coupled rings of oscillators
Jan Philipp Pade, Leonhard Lücken, Serhiy Yanchuk
We study the destabilization mechanism in a unidirectional ring of identical oscillators, perturbed by the introduction of a long-range connection. It is known that for a homogeneo…
Pattern Recognition in a Ring of Delayed Phase Oscillators
Jan Philipp Pade, Serhiy Yanchuk, Liang Zhao
We show that a ring of phase oscillators coupled with transmission delays can be used as a pattern recognition system. The introduced model encodes patterns as stable periodic orbi…
Improving the Network Structure can lead to Functional Failures
Jan Philipp Pade, Tiago Pereira
In many real-world networks the ability to synchronize is a key property for its performance. Examples include power-grid, sensor, and neuron networks as well as consensus formatio…