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Christian Bick
,
Sören von der Gracht
(2024).
Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions
. Journal of Complex Networks, Volume 12, Issue 2, April.
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DOI
arXiv
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2023).
Higher order interactions lead to "reluctant" synchrony breaking
.
PDF
arXiv
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2023).
Hypernetworks: cluster synchronisation is a higher-order effect
. SIAM Journal on Applied Mathematics, 83(6), 2329–2353.
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DOI
arXiv
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2023).
A parametrisation method for high-order phase reduction in coupled oscillator networks
.
PDF
arXiv
Raphael Gerlach
,
Sören von der Gracht
,
Michael Dellnitz
(2023).
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
.
PDF
arXiv
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2022).
Amplified steady state bifurcations in feedforward networks
. Nonlinearity 35.4, pp. 2073–2120.
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DOI
arXiv
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2021).
A new algorithm for computing idempotents of $\mathcal{R}$-trivial monoids
. Journal of Algebra and Its Applications, 20(12).
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DOI
arXiv
Sören von der Gracht
,
Thomas Schramm
,
Ingenuin Gasser
,
Ruedi Seiler
,
Alexander Lohse
,
Kay Zobel
(2020).
Linear Algebra driven by Data Science
. Massive Open Online Course, Hamburg Open Online University, 2020 (in German).
Link
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2020).
Quiver Representations and Dimension Reduction in Dynamical Systems
. SIAM Journal on Applied Dynamical Systems 19(4), 2428–2468.
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DOI
arXiv
Sören von der Gracht
,
Eddie Nijholt
,
Bob Rink
(2020).
Generalised Symmetry in Network Dynamics
. DSWeb, April 2020.
Link
Sören von der Gracht
(2019).
Genericity in Network Dynamics
. Dissertation, Universität Hamburg, Supervisor: Prof. Dr. Reiner Lauterbach.
PDF
Link
Sören von der Gracht
(2018).
Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
. SIAM Journal on Mathematical Analysis 50, 2466–2485.
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DOI
arXiv
Sören von der Gracht
,
Reiner Lauterbach
(2017).
Equivariant bifurcations in four-dimensional fixed point spaces
. Dynamical Systems 32(1), 117–147.
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DOI
arXiv
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