Let's break some structures imposed by higher-order interactions! We compute how things deform and what remains when continuous symmetries are broken. For now freely available at www.aimsciences.org/article/doi/... (but also at arXiv:2408.02119).

Dynamics on invariant tori emerging through forced symmetry breaking in phase oscillator networks

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...

aimsciences.org

"Higher-order phase reduction for delay-coupled oscillators beyond the phase-shift approximation" now on the arXiv at arxiv.org/abs/2510.27524.

Higher-order phase reduction for delay-coupled oscillators beyond the phase-shift approximation

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...

arxiv.org

New paper with @math-martens.bsky.social on "Multiple timescale dynamics of network adaptation with constraints" now available Open Access in Chaos: doi.org/10.1063/5.02...

Multiple timescale dynamics of network adaptation with constraints

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

doi.org

🥼Global South Fellowship! DIEP is co-hosting one fellowship for a researcher from the Global South to work on subjects related to the Research Priority Area: Emergent Phenomena in Society in Amsterdam! 🚨Deadline to apply: 15/11 midnight Please share! More info: www.uva.nl/en/about-the...

Global South Fellowship Scheme

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...

uva.nl

We just advertised the Hooke Fellowships for exceptional researchers (typically after their first post-doc). You are completely free to set up your own research agenda for three years. RT please my.corehr.com/pls/uoxrecru...

Lots of higher-order interactions at the joint @beyondtheedge.network and RUNES workshop at AMU in Marseille this week. Thanks to @alainbarrat.bsky.social and @lordgrilo.bsky.social!

Happening soon with the fantastic @haharrington.bsky.social. Join us!

BeyondTheEdge@beyondtheedge.network · 10mo ago

Join us Tue, 30 Sept (11:00 CET) as the #BeyondTheEdge Seminar series returns after the summer break! 🎙 Prof. Heather Harrington (Oxford & MPI-CBG) 📖 Topological Data Analysis for Multiscale Biology 📍 Online → beyondtheedge.network/event/semina... #TDA #ComplexSystems #Networks

Ever wondered how many points converge to a heteroclinic network in an aperiodic way? doi.org/10.1080/1468...

How many points converge to a heteroclinic network in an aperiodic way?

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...

doi.org

BeyondTheEdge at the School of Complexity on "Higher-order interactions: mechanisms, behaviors, and networks" by our own @lordgrilo.bsky.social and @gin-bianconi.bsky.social with @aliceschwarze.bsky.social, @danielemarinazzo.bsky.social. Great perspectives! www.beyondtheedge.network/articles/bey...

BeyondTheEdge goes to Sicily

BeyondTheEdge researchers participated in the School of Complexity on

beyondtheedge.network

Fun collaborative project with Istvan Z. Kiss (London) and Peter Simon to understand how higher-order interactions affect the dynamics of contagion processes now out in J Math Bio: doi.org/10.1007/s002...

Decoding how higher-order network interactions shape contagion dynamics - Journal of Mathematical Biology

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...

doi.org

I am extremely excited that my Istvan Z. Kiss number now is one with multiplicity 2!

Going #BeyondTheEdge in Aachen! Great fun catching up with @beyondtheedge.network colleagues at the HOOC workshop organized by M Schaub: conf.netsci.rwth-aachen.de

Adaptive network dynamics are too high dimensional? Constrain! Or maybe adaptation may be naturally constrained to low-dimensional dynamics? Joint work with @math-martens.bsky.social now on the arXiv at arxiv.org/abs/2507.06359.

Multiple Timescale Dynamics of Network Adaptation with Constraints

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...

arxiv.org

Ancient vector fields excavated close to Dynamics Days Europe 2025 in Thessaloniki. It was a fun conference (just too short), see you in Lisbon next year!

If you couple two systems with bistability between oscillations of distinct effective frequencies, you have to make them different for the distinct states to synchronize in frequency. Some theory and experiments now in Science Advances. doi.org/10.1126/scia...

Frequency synchronization induced by frequency detuning

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

doi.org

Can a network be physically be a graph but effectively be a hypergraph? Tiago Pereira is speaking about emergent hypernetworks in the focus session “Network Dynamical Systems” at @netsciconf.bsky.social.

Come to the Focus Session "Network Dynamical Systems" at @netsciconf.bsky.social Friday afternoon for a free copy of Bear Networks! www.beyondtheedge.network/resources/be... #NetSci2025

Join us July 9-11 at the Amsterdam Center for Dynamics and Computation to celebrate dynamical systems theory and application as well as two 0 mod 10 birthdays! Register now at www.amsterdam-dynamics.nl/zero-mod-ten/

0 mod 10 workshop

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, ...

amsterdam-dynamics.nl

You've got friends round for coffee and cake. There are seven of you. Trouble is, you've made a square cake. How do you make sure everyone receives an equal share? Dominic has his cake and they all eat it.

About a week left to apply (through May 5) for a fully-funded PhD position on the collective dynamics on networks. Come to Amsterdam to join the Emergence at All Scales consortium led by @emergencediep.bsky.social. Please share!

Christian Bick@bickmath.bsky.social · last yr.

Come join the Amsterdam Center for Dynamics and Computation! Bob Rink and I are recruiting a PhD student to work on network dynamics as part of the consortium Emergence at All Scales (www.d-iep.org/eaas). Apply by May 5, 2025 through workingat.vu.nl/vacancies/ph...

Bear Networks at the Dutch Mathematical Congress www.beyondtheedge.network/articles/bea...

Bear Networks at the Dutch Mathematical Congress

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

beyondtheedge.network

Fantastic to have our own @lordgrilo.bsky.social for a visit in the NL! Join his seminar if you can.

Dutch Institute for Emergent Phenomena@emergencediep.bsky.social · last yr.

🧑‍🔬Tomorrow 11am we have the honour to host Giovanni Petri @lordgrilo.bsky.social, Professor @nunetsi.bsky.social, for a DIEP seminar on renormalization and higher-order interactions and their impact on collective behavior 🧡Curious? Check out the abstract and register here: ias.uva.nl/content/even...

👩‍👩‍👧‍👧 Open PhD position in collective dynamics on networks at @vuamsterdam.bsky.social ! ⏳ As part of the Emergence at All Scales consortium, positions are gradually opening. Please share and forward to potential candidates! Deadline to apply: 5/05 More info: www.d-iep.org/openeaasposi...

Come join the Amsterdam Center for Dynamics and Computation! Bob Rink and I are recruiting a PhD student to work on network dynamics as part of the consortium Emergence at All Scales (www.d-iep.org/eaas). Apply by May 5, 2025 through workingat.vu.nl/vacancies/ph...

About a week left to apply to join the Amsterdam Center for Dynamics and Computation as a postdoc!

Christian Bick@bickmath.bsky.social · last yr.

The Amsterdam Center for Dynamics and Computation (www.amsterdam-dynamics.nl) at @vuamsterdam.bsky.social is recruiting a 2-year postdoc in dynamical systems. Applications are accepted through Fri April 4, 2025 at workingat.vu.nl/vacancies/po.... Please share!

Join us for a workshop at the Amsterdam Center for Dynamics and Computation of the Vrije Universiteit Amsterdam on Jul 9-11, 2025 to celebrate progress in dynamical systems! More information at amsterdam-dynamics.nl/zero-mod-ten

0 mod 10 workshop

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, ...

amsterdam-dynamics.nl

Join us next Tuesday for the next BeyondTheEdge seminar with Prof. Renaud Lambiotte (University of Oxford) 🔬 Title: Consensus and Random Walks on Higher-Order Networks 📅 Date & Time: March 25th, 2-3pm (CET) Link: www.beyondtheedge.network/event/semina...

BeyondTheEdge Seminar: Renaud Lambiotte

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

beyondtheedge.network

The Amsterdam Center for Dynamics and Computation (www.amsterdam-dynamics.nl) at @vuamsterdam.bsky.social is recruiting a 2-year postdoc in dynamical systems. Applications are accepted through Fri April 4, 2025 at workingat.vu.nl/vacancies/po.... Please share!

Kuramoto oscillators + inertia + symmetry = global symmetric bifurcations organizing chimeras. Work with Pete Ashwin, available open access at doi.org/10.1007/s003....

Global Bifurcations Organizing Weak Chimeras in Three Symmetrically Coupled Kuramoto Oscillators with Inertia - Journal of Nonlinear Science

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...

doi.org

Join us TODAY for the first @beyondtheedge.bsky.social seminar! BeyondTheEdge PhD student Cyril Rommens will host Ginestra Bianconi at 15h CET, details at www.beyondtheedge.network/event/semina...

BeyondTheEdge Seminar: Ginestra Bianconi

Ginestra Bianconi (QMUL) speaks in the BeyondTheEdge Seminar

beyondtheedge.network