We consider synchrony patterns in coupled phase oscillator networks that correspond to invariant tori. For specific nongeneric coupling, these tori are equilibria relative to a continuous symmetry act...

Network interactions between dynamical units are often subject to time delay. We develop a phase reduction method for delay-coupled oscillator networks. The method is based on rewriting the delay-diff...

Framework for decreasing the dimensionality of complex systems facilitates analysis of complexity.

Adaptive network dynamical systems describe the co-evolution of dynamical quantities on the nodes and the dynamics of the network connections themselves. For de

The Global South Plan of the Faculty of Science (FNWI) at the University of Amsterdam (UvA) offers four fellowships to talented scientists from the Global South to visit our Faculty for a few months a...

Homoclinic and heteroclinic connections can form cycles and networks in phase space, which organize global phenomena in dynamical systems. On the one hand, stability notions for (omni)cycles give i...

BeyondTheEdge researchers participated in the School of Complexity on

Complex contagion models that involve contagion along higher-order structures, such as simplicial complexes and hypergraphs, yield new classes of mean-field models. Interestingly, the differential equ...

Adaptive network dynamical systems describe the co-evolution of dynamical quantities on the nodes as well as dynamics of the network connections themselves. For dense networks of many nodes, the resul...

Analyses and experiments on multistable networks show that frequency detuning can promote synchronization.

BeyondTheEdge publication: Bear Networks, mathematics of networks introduced by soccer-loving bears

We are excited to announce a Workshop on Dynamical Systems at the Amsterdam Center of Dynamics and Computation of the Vrije Universiteit Amsterdam. The workshop, organised by Chris Bick and Bob Rink, ...

BeyondTheEdge researcher Raffaella Mulas spoke about outreach at the Dutch Mathematical Congress

Open positions in the Emergence at All Scales consortium

Do you have an inquisitive mind and a passion for mathematics or physics? Please apply for a PhD position at Vrije Universiteit Amsterdam.

We are excited to announce a Workshop on Dynamical Systems at the Amsterdam Center of Dynamics and Computation of the Vrije Universiteit Amsterdam. The workshop, organised by Chris Bick and Bob Rink, ...

Renaud Lambiotte (University of Oxford) speaks in the BeyondTheEdge Seminar

Do you have an inquisitive mind and a passion for dynamical systems? Please apply for a Postdoctoral position at Vrije Universiteit Amsterdam.

Frequency desynchronized attractors cannot appear in identically coupled symmetric phase oscillators because “overtaking" of phases cannot occur. This restriction no longer applies for more general id...

Ginestra Bianconi (QMUL) speaks in the BeyondTheEdge Seminar

Ginestra Bianconi (QMUL) speaks in the BeyondTheEdge Seminar on Jan 16, 2025

Ginestra Bianconi (QMUL) speaks in the BeyondTheEdge Seminar on Jan 16, 2025