Preprints:

Higher order interactions lead to "reluctant" synchrony breaking with Eddie Nijholt and Sören von der Gracht. arXiv link

A parametrisation method for high-order phase reduction in coupled oscillator networks with Eddie Nijholt and Sören von der Gracht. arXiv link

More on the parameterization method for center manifolds with Jan Bouwe van den Berg and Wouter Hetebrij. arXiv link

Transversality in dynamical systems with generalized symmetry with Eddie Nijholt. arXiv link

Reviewed:

Hypernetworks: cluster synchronisation is a higher-order effect with Eddie Nijholt and Sören von der Gracht. SIAM J. Appl. Math. 83, no. 6 (2023), 2329-2353. arXiv link

Amplified steady state bifurcations in feedforward networks with Sören von der Gracht and Eddie Nijholt. Nonlinearity 35 (2022), 2073-2120. arXiv link

Korteweg-de-Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves with Matteo Gallone and Antonio Ponno, J. Physics A: Math. Theor. 54 (2021), 305701. arXiv link

Multiple timescales and the parametrisation method in geometric singular perturbation theory with Ian Lizarraga and Martin Wechselberger, Nonlinearity 34, no. 6 (2021), 4163-4201. arXiv link

Quiver representations and dimension reduction in dynamical systems with Eddie Nijholt and Sören Schwenker, SIAM J. Appl. Dyn. Syst. 19, no. 4 (2020), 2428–2468. arXiv link

A new algorithm for computing idempotents of R-trivial monoids with Eddie Nijholt and Sören Schwenker, J. Algebra and its Applications 20, no. 12 (2021) 2150227. arXiv link

The parameterization method for center manifolds with Jan Bouwe van den Berg and Wouter Hetebrij, J. Differential Equations 53 (2020), 2132 - 2184. arXiv link

Generalised symmetry in network dynamics with Eddie Nijholt and Sören Schwenker, DSWeb Magazine, April 2020

Center manifolds of coupled cell networks with Eddie Nijholt and Jan Sanders, SIAM Review 61 (2019), 121 - 155. arXiv link

Projection blocks in homogeneous coupled cell networks with Eddie Nijholt and Jan Sanders, Dynamical Systems 32, no. 1 (2017), 164 - 186. arXiv link

Center manifolds of coupled cell networks with Eddie Nijholt and Jan Sanders, SIAM J. Mathematical Analysis 49, no. 5 (2017), 4117 - 4148. arXiv link

Graph fibrations and symmetries of network dynamics with Eddie Nijholt and Jan Sanders, J. Differential Equations 261 (2016), 4861 - 4896. arXiv link

Coupled cell networks: semigroups, Lie algebras and normal forms with Jan Sanders, Trans. Amer. Math. Soc. 367 (2015), 3509 - 3548. arXiv link

Continuity of the Peierls barrier and robustness of laminations with Blaž Mramor, Ergod. Theor. Dyn. Syst. 35, no. 4, (2015), 1263 - 1288. arXiv link

A dichotomy theorem for minimizers of monotone recurrence relations with Blaž Mramor, Ergod. Theor. Dyn. Syst. 35, no. 1 (2015), 215 - 248. arXiv link

Coupled cell networks and their hidden symmetries with Jan Sanders, SIAM J. Mathematical Analysis 46, no. 2 (2014), 1577 - 1609. arXiv link

The laminations of a crystal near its anticontinuum limit with Vincent Knibbeler and Blaž Mramor, Nonlinearity 27 (2014), 927 - 952. arXiv link

On the destruction of minimal foliations with Blaž Mramor, Proc. London Math. Soc. 108 (2014), 704 - 737. arXiv link

Amplified Hopf bifurcations in feed-forward networks with Jan Sanders, SIAM J. Appl. Dyn. Syst. 12, no. 2 (2013), 1135 - 1157. arXiv link

Ghost circles in lattice Aubry-Mather theory with Blaž Mramor, J. Differential Equations 252, no. 4 (2012), 3163 - 3208. arXiv link

Fermi Pasta Ulam systems (FPU): mathematical aspects, Scholarpedia 4 (12): 9217

Branching patterns of wave trains in the FPU lattice with Shangjiang Guo and Jeroen Lamb, Nonlinearity 22 (2009), 283 - 299

Proof of Nishida's conjecture on anharmonic lattices, Commun. Math. Phys. 261 (2006), 613 - 627. arXiv link

A Cantor set of tori with monodromy near a focus-focus singularity, Nonlinearity 17 (2004), 347 - 356. arXiv link

Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice, Physica D 175 (2003), 31 - 42. arXiv link

Direction reversing traveling waves in the even Fermi-Pasta-Ulam lattice, J. Nonlinear Science 12 (2002), 479 - 504. arXiv link

Symmetry and resonance in periodic FPU chains, Commun. Math. Phys. 218 (2001), 665 - 685. arXiv link

Near-integrability of periodic FPU-chains with Ferdinand Verhulst, Physica A 285 (2000), 467 - 482.

In books:

An integrable approximation for the Fermi-Pasta-Ulam lattice, in "The Fermi-Pasta-Ulam problem", G. Gallavotti (ed.), Springer Lecture Notes in Physics 728, 2008, p. 283 - 301

Stability in Hamiltonian systems with Theo Tuwankotta, in "Geometric Mechanics and Symmetry; the Peyresq Lectures", J. Montaldi and T. Ratiu (eds.), Cambridge University Press, 2005

In proceedings:

Analysis of a model for ship maneuvering with M. Apri et al., in the proceedings of the 79th European Study Group Mathematics with Industry, Amsterdam, 2011

Traveling waves and monodromy in anharmonic lattices, in the proceedings of the international conference SPT2002, S. Abenda et al. (eds.), World Scientific, Singapore, 2002, pp. 217 - 220

A symmetric normal form for the Fermi Pasta Ulam chain, in the proceedings of the international conference SPT2001, D. Bambusi et al. (eds.), World Scientific, Singapore, 2001

Lecture notes:

Geometric dynamics and symmetry, MSc course taught between 2007 and 2012.

In national journals:

Tegenspraak in de statistische natuurkunde, Nederlands Tijdschrift voor Natuurkunde, januari 2004

PhD thesis:

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