@BickMath

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
math.vu.nl/~bick/
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

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...

aimsciences.org
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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
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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
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A summary of the results are now also part of a Oxford Mathematics Research Case Study: maths.ox.ac.uk/node/74552
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"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...

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...

arxiv.org
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Ever wondered how many points converge to a heteroclinic network in an aperiodic way? doi.org/10.1080/14689367.202…

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...

tandfonline.com
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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…

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...

link.springer.com
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I am extremely excited that my Istvan Z. Kiss number now is one with multiplicity 2! @KissGroupSLU @istvanzkiss
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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
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Workshop at the Amsterdam Center for Dynamics and Computation covers many facets of dynamical systems amsterdam-dynamics.nl/worksh…

Workshop at the Amsterdam Center for Dynamics and Computation covers many facets of dynamical...

On June 9–11 the Amsterdam Center for Dynamics and Computation hosted the 0 mod 10 Dynamics workshop organized by Bob Rink and Chris Bick. The workshop attracted more than 40 participants both from...

amsterdam-dynamics.nl
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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.

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...

arxiv.org
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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!
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Maybe I should use generative AI to plot any planar vector field in the style of ancient nails...
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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…

Frequency synchronization induced by frequency detuning

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

science.org
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Come to the Focus Session "Network Dynamical Systems" at @NetSciConf Friday afternoon for a free copy of Bear Networks! beyondtheedge.network/resour… #NetSci2025

Bear Networks

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

beyondtheedge.network
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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…
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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!
Christian Bick@BickMath1 Apr 2025
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…

DIEP | Emergence at All Scales

DIEP national consortium exploring emergence accross scales and systems

d-iep.org
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