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Marc Homs Dones

Research: I am a third-year PhD student in dynamical systems, under the supervision of Prof. Robert MacKay. I am interested in qualitative theory of vectorfields in dimension two, dynamics on networks and network decompositions.

Publications:

  • Claude Baesens, Marc Homs-Dones, Robert S. MacKay. "Example of simplest bifurcation diagram for a monotone family of vector fields on a torus." arXiv:2207.04031.
  • Homs-Dones, M., Devriendt, K., Lambiotte, L. "Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs." SIAM J. Appl. Dyn. Syst., 20, (2021), 1544–1570. doi: 10.1137/20M1376844Link opens in a new window.
  • Homs-Dones, Marc. "A generalization of the Babbage functional equation." Discrete & Continuous Dynamical Systems - A, 41, (2021), 899-919. doi: 10.3934/dcds.2020303.

Conferences:

Teaching: I am the TA for MA4H0 Applied Dynamical Systems and MA259 Multivariable Calculus. I have also been the TA for MA254 Theory of ODEs, as well as provide supervisions for 1st-year undergraduate students in Mathematics.

Education: I did my master's at the University of Oxford, and my undergraduate studies at the Autonomous University of Barcelona.

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Email:

marc.homs-dones'at'warwick.ac.uk

Office: B0.24

Orcid: 0000-0002-8528-8140