Christian Bick

Lecturer in Mathematics
Department of Mathematics, University of Exeter, Exeter, UK

OCIAM Visiting Research Fellow
Mathematical Institute, University of Oxford, Oxford, UK

Hans Fischer Fellow
TUM-IAS, Technische Universität München, Munich, Germany

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University of Exeter
Harrison Building
North Park Road
Exeter
EX4 4QF
United Kingdom

Research Interests

Dynamical systems and applications: Dynamics of coupled oscillator networks. Network dynamical systems with generalized, higher-order, and adaptive interactions. Dynamics of asynchronous networks.

Upcoming Events

Sept 9–11, 2019 Workshop on Higher-Order Interaction Networks: Dynamics, Structure, Data
Mathematical Institute, University of Oxford

Projects

2019–2022 Hans Fischer Fellowship
Network Dynamical Systems with State-Dependent Interactions
2015–2017 Marie Curie Intra European Fellowship (IEF)
GECO: Dynamics of Phase Oscillator Networks with Generalized Coupling

Publications

Preprints

  1. Benoit Duchet, Gihan Weerasinghe, Hayriye Cagnan, Peter Brown, Christian Bick, and Rafal Bogacz. Phase dependence of response curves to stimulation and their relationship: from a Wilson-Cowan model to essential tremor patient data. Submitted, 2019 [ bioRxiv ].
  2. Peter Ashwin, Christian Bick, Camille Poignard. State-dependent effective interactions in oscillator networks through coupling functions with dead zones. Submitted, 2019 [ arXiv ].
  3. Christian Bick, Marc Goodfellow, Carlo R. Laing, Erik A. Martens. Understanding the Dynamics of Biological and Neural Oscillator Networks through Mean-Field Reductions: A Review. Submitted, 2019 [ arXiv ].

Refereed Publications

  1. Gihan Weerasinghe, Benoit Duchet, Hayriye Cagnan, Peter Brown, Christian Bick, and Rafal Bogacz. Predicting the effects of deep brain stimulation using a reduced coupled oscillator model. PLOS Computational Biology, 15(8):e1006575, 2019 [ article (open access), bioRxiv ].
  2. Jorge Luis Ocampo-Espindola, Christian Bick, and István Z. Kiss. Weak Chimeras in Modular Electrochemical Oscillator Networks. Frontiers in Applied Mathematics and Statistics, 5:38, 2019 [ article (open access) ].
  3. Christian Bick and Alexander Lohse. Heteroclinic Dynamics of Localized Frequency Synchrony: Stability of Heteroclinic Cycles and Networks. Journal of Nonlinear Science, 2019 [ article (open access), arXiv ].
  4. Christian Bick. Heteroclinic Dynamics of Localized Frequency Synchrony: Heteroclinic Cycles for Small Populations. Journal of Nonlinear Science, 2019 [ article (open access), arXiv ].
  5. Christian Bick, Mark J. Panaggio, and Erik A. Martens. Chaos in Kuramoto oscillator networks. Chaos, 28(7):071102, 2018 [ article, arXiv ].
  6. Christian Bick. Heteroclinic switching between chimeras. Physical Review E, 97(5):050201(R), 2018 [ article, arXiv ].
  7. Christian Bick, Michael Sebek, and István Z. Kiss. Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions. Physical Review Letters, 119(16):168301, 2017 [ article, arXiv ].
  8. Christian Bick. Isotropy of Angular Frequencies and Weak Chimeras With Broken Symmetry. Journal of Nonlinear Science, 27(2):605–626, 2017 [ article (open access), arXiv ].
  9. Christian Bick and Michael Field. Asynchronous networks: modularization of dynamics theorem. Nonlinearity, 30(2):595–621, 2017 [ article, arXiv ].
  10. Christian Bick and Michael Field. Asynchronous networks and event driven dynamics. Nonlinearity, 30(2):558–594, 2017 [ article (open access), arXiv ].
  11. Christian Bick and Michael Field. Functional Asynchronous Networks: Factorization of Dynamics and Function. MATEC Web of Conferences 83:09001, 2016 [ article (open access), arXiv ].
  12. Erik A. Martens, Christian Bick, and Mark J. Panaggio. Chimera states in two populations with heterogeneous phase lag. Chaos 26(9):094819, 2016 [ article, arXiv ].
  13. Christian Bick, Peter Ashwin, and Ana Rodrigues. Chaos in generically coupled phase oscillator networks with nonpairwise interactions. Chaos, 26(9):094814, 2016 [ article, arXiv ].
  14. Peter Ashwin, Christian Bick, and Oleksandr Burylko. Identical phase oscillator networks: bifurcations, symmetry and reversibility for generalized coupling. Frontiers in Applied Mathematics and Statistics, 2:7, 2016 [ article (open access), arXiv ].
  15. Christian Bick and Peter Ashwin. Chaotic Weak Chimeras and their Persistence in Coupled Populations of Phase Oscillators. Nonlinearity, 29(5):1468-1486, 2016 [ article, arXiv ].
  16. Christian Bick and Erik A. Martens. Controlling Chimeras. New Journal of Physics, 17(3):033030, 2015 [ article (open access), arXiv ].
  17. Christian Bick, Christoph Kolodziejski, and Marc Timme. Controlling Chaos Faster. Chaos, 24(3):033138, 2014 [ article, arXiv ].
  18. Christian Bick, Christoph Kolodziejski, and Marc Timme. Stalling Chaos Control Accelerates Convergence. New Journal of Physics, 15(6):063038, 2013 [ article (open access), file ].
  19. Christian Bick, Marc Timme, and Christoph Kolodziejski. Adapting Predictive Feedback Chaos Control for Optimal Convergence Speed. SIAM Journal on Applied Dynamical Systems, 11(4):1310–1324, 2012 [ article, file, arXiv ].
  20. Mikhail I. Rabinovich, Valentin S. Afraimovich, Christian Bick, and Pablo Varona. Information flow dynamics in the brain. Physics of Life Reviews, 9(1):51–73, 2012 [ article ].
  21. Christian Bick, Marc Timme, Danilo Paulikat, Dirk Rathlev, and Peter Ashwin. Chaos in Symmetric Phase Oscillator Networks. Physical Review Letters, 107(24):244101, 2011 [ article, file, arXiv ].
  22. Christian Bick and Mikhail I. Rabinovich. On the occurrence of stable heteroclinic channels in Lotka–Volterra models. Dynamical Systems, 25(1):97–110, 2010 [ article ].
  23. Christian Bick and Mikhail I. Rabinovich. Dynamical Origin of the Effective Storage Capacity in the Brain's Working Memory. Physical Review Letters, 103(21):218101, 2009. [ article, file ].

Teaching

University of Exeter

ECM3724/ECMM450: Stochastic Processes (Winter 2017/18, Winter 2018/19)
ECMM718: Dynamical Systems and Chaos (Winter 2014/15, Winter 2015/16)
ECM3736: Research in the Mathematical Sciences, Geometry substream (Winter 2011/12)

University of Oxford

InFoMM Core 4: Modelling, analysis and computation of discrete real world problems (Fall 2016/17, Fall 2017/18)
InFoMM ModCase: Modelling Case Studies (Winter 2016/17)

Rice University

MATH 211: Ordinary Differential Equations and Linear Algebra (Fall 2014/15)
MATH 435: Dynamical Systems (Spring 2013/14)

Georg–August–Universität Göttingen

Seminar: Machine Learning (Fall 2012/13)
Seminar: Information Theory and Dynamical Systems (Fall 2011/12)