Vrije Universiteit Amsterdam
Department of Mathematics


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Here is a list of my publications:


Reviewed:

E. Nijholt, B. Rink and J. Sanders, Center manifolds of coupled cell networks, to appear in SIAM J. Math. Anal.
E. Nijholt, B. Rink and J. Sanders, Projection blocks in homogeneous coupled cell networks, Dynamical Systems 32 (2017), no. 1, 164-186.
E. Nijholt, B. Rink and J. Sanders, Graph fibrations and symmetries of network dynamics, J. Differ. Equations 261 (2016), 4861-4896.
B. Rink and J. Sanders, Coupled cell networks: semigroups, Lie algebras and normal forms, Trans. Amer. Math. Soc. 367 (2015), 3509-3548.
B. Mramor and B. Rink, Continuity of the Peierls barrier and robustness of laminations, Ergod. Theor. Dyn. Syst. 35 (2015), no. 4, 1263-1288.
B. Rink and J. Sanders, Coupled cell networks and their hidden symmetries, SIAM J. Math. Anal. 46 (2014), no. 2, 1577-1609.
B. Mramor and B. Rink, A dichotomy theorem for minimizers of monotone recurrence relations, Ergod. Theor. Dyn. Syst. 35 (2015), no. 1, 215-248.
V. Knibbeler, B. Mramor and B. Rink, The laminations of a crystal near its anticontinuum limit, Nonlinearity 27 (2014), 927-952.
B. Mramor and B. Rink, On the destruction of minimal foliations, Proc. London Math. Soc. 108 (2014), 704-737.
B. Rink and J. Sanders, Amplified Hopf bifurcations in feed-forward networks, SIAM J. Appl. Dyn. Syst. 12 no. 2 (2013), 1135-1157.
B. Mramor and B. Rink, Ghost circles in lattice Aubry-Mather theory, J. Differ. Equations 252 no. 4 (2012), 3163-3208.
B. Rink, Fermi Pasta Ulam systems (FPU): mathematical aspects, Scholarpedia 4 (12): 9217.
S.J. Guo, J.S.W. Lamb and B. Rink, Branching patterns of wave trains in the FPU lattice, Nonlinearity 22 (2009), 283-299.
B. Rink, Proof of Nishida's conjecture on anharmonic lattices, Commun. Math. Phys. 261 (2006), 613-627.
B. Rink, A Cantor set of tori with monodromy near a focus-focus singularity, Nonlinearity 17 (2004) 347-356.
B. Rink, Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice, Physica D 175 (2003), 31-42.
B. Rink, Direction reversing traveling waves in the even Fermi-Pasta-Ulam lattice, J. Nonlinear Sci. 12 (2002), 479-504.
B. Rink, Symmetry and resonance in periodic FPU chains, Commun. Math. Phys. 218 (2001), 665-685.
B. Rink and F. Verhulst, Near-integrability of periodic FPU-chains, Physica A 285 (2000), 467-482.

Preprints:

A. Ponno and B. Rink, Integrable asymptotic evolution equations for the Fermi-Pasta-Ulam continuum approximation, in preparation.

In books:

B. Rink, An integrable approximation for the Fermi-Pasta-Ulam lattice, in ``The Fermi-Pasta-Ulam experiment: 50 years later'', G. Gallavotti (ed.), Springer Lecture Notes in Physics, 2007.
B. Rink and J.M. Tuwankotta, Stability in Hamiltonian systems, in ``Geometric Mechanics and Symmetry; the Peyresq Lectures'', J. Montaldi and T. Ratiu (eds.), Cambridge University Press, 2005.

In conference proceedings:

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

In national journals:

B. Rink, Tegenspraak in de statistische natuurkunde, Nederlands Tijdschrift voor Natuurkunde (Januari 2004).

PhD thesis:

B.Rink, Geometry and Dynamics in Hamiltonian Lattices, PhD thesis, Universiteit Utrecht, 17 September 2003.