coupled systems

On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
In this article we investigate the convergence behavior of gathering protocols with fixed circulant topologies using tools form …
Raphael Gerlach, Sören von der Gracht, Michael Dellnitz
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Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
In the general pattern formation (GPF) problem, a swarm of simple autonomous, disoriented robots must form a given pattern. The …
Raphael Gerlach, Sören von der Gracht, Christopher Hahn, Jonas Harbig, Peter Kling
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Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions
Heteroclinic structures organize global features of dynamical systems. We analyse whether heteroclinic structures can arise in network …
Christian Bick, Sören von der Gracht
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Hypernetworks: cluster synchronisation is a higher-order effect
Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can …
Sören von der Gracht, Eddie Nijholt, Bob Rink
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Genericity in Network Dynamics
This thesis deals with the investigation of dynamical properties – in particular generic synchrony breaking bifurcations – that are …
Sören von der Gracht
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Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid …
Sören von der Gracht
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