Dynamics, Networks, and Dynamics. Based at VU Amsterdam but also roaming around Exeter, Munich, and Oxford. See https://xitter.cf/t.co/4Dh5V8AgYP for other social media.
Amsterdam, the Netherlands
Joined March 2017
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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 aimsciences.org/article/doi/… (but also at arXiv:2408.02119). @AmsterdamDyn
A summary of the results are now also part of a Oxford Mathematics Research Case Study: maths.ox.ac.uk/node/74552
"Higher-order phase reduction for delay-coupled oscillators beyond the phase-shift approximation" now on the arXiv at arxiv.org/abs/2510.27524.
The nice summary "Reducing the dimensions of adaptive networks" for a broader audience was published alongside the paper at doi.org/10.1063/10.0039766
This motivates new mathematical insights into the multiple time scale dynamics of adaptive networks. And opens up questions how constraints and adaptive dependency is realized in real world adaptive networks.
We introduce constraints to the adaptive dynamics as a way to reduce dimensionality. These may be intrinsic, for example, if the adaptation rule is nondirectional. Or they may be forced by a homeostasis mechanism.
Adaptivity is a crucial ingredient of many networked systems, but a key issue is their high-dimensionality. A dense network of N nodes has O(N^2) adaptive connections.
New paper with @math_martens on "Multiple timescale dynamics of network adaptation with constraints" now available Open Access in Chaos: doi.org/10.1063/5.0289706
Ever wondered how many points converge to a heteroclinic network in an aperiodic way? doi.org/10.1080/14689367.202…
Fun collaborative project with @istvanzkiss 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/s00285-025-0…
I am extremely excited that my Istvan Z. Kiss number now is one with multiplicity 2! @KissGroupSLU @istvanzkiss
Going #BeyondTheEdge in Aachen! Great fun catching up with @BeyondEdge_MSCA colleagues at the HOOC workshop organized by M Schaub: conf.netsci.rwth-aachen.de
Christian Bick retweeted
Workshop at the Amsterdam Center for Dynamics and Computation covers many facets of dynamical systems
amsterdam-dynamics.nl/worksh…
Adaptive network dynamics are too high dimensional?Constrain! Or maybe adaptation may be naturally constrained to low-dimensional dynamics? Joint work with @math_martens now on the arXiv at arxiv.org/abs/2507.06359.
Ancient vector fields excavated close to @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. Work with @adilson_motter and @KissGroupSLU out in @ScienceAdvances. doi.org/10.1126/sciadv.adu41…
Come to the Focus Session "Network Dynamical Systems" at @NetSciConf Friday afternoon for a free copy of Bear Networks! beyondtheedge.network/resour… #NetSci2025
Join us July 9-11 at @AmsterdamDyn to celebrate dynamical systems theory and application as well as two 0 mod 10 birthdays! Register now at amsterdam-dynamics.nl/zero-m…
About a week left to apply (through May 5) for a fully-funded PhD position on the collective dynamics on networks at @AmsterdamDyn. Come to Amsterdam to join the Emergence at All Scales consortium led by @EmergenceDIEP. Please share!
Come join the Amsterdam Center for Dynamics and Computation @AmsterdamDyn! Bob Rink and I are recruiting a PhD student to work on network dynamics as part of the consortium Emergence at All Scales (d-iep.org/eaas). Apply by May 5, 2025 through workingat.vu.nl/vacancies/ph…