Journal
On 23 April 2018 I will be giving a talk at the Analysis and Geometry Seminar at the University of Antwerp.
I will be giving a talk at the conference Geometric Aspects of Momentum Maps and Integrability which takes place 8-13 April 2018. The conference takes place at the CSF (Congressi Stefano Franscini) in Ascona, Switzerland and is organized by Anton Alekseev, Sonja Hohloch, and Tudor Ratiu.
On the occasion of being elected Teacher of the Year for Chemical Engineering, Mónica Espinoza Cangahuala interviewed me for Het Chemisch Bindmiddel, the magazine of De Chemische Binding, the study association for Chemistry and Chemical Engineering. The interview is available here.
I have written a short introduction to the global geometry of physical systems of physical systems and its quantum manifestations. The article appeared in issue 2017-2 of Periodiek, the magazine of the FMF student association, and is also available on my website.
On 27 June 2017 I will be giving a talk at the JBI Mathematics Colloquium. The topic of my talk is Nontrivial Topology and Symmetry in Integrable Hamiltonian Systems.
The Chemical Engineering students in Groningen have selected me as Teacher of the Year 2016-2017 for my course Calculus for Chemistry. I am thankful to the students, and deeply honored, for selecting me as Teacher of the Year, and to the student association De Chemische Binding for organizing the election event.
I will be presenting a talk on Fractional Hamiltonian monodromy and circle actions at the conference Finite dimensional integrable systems in geometry and mathematical physics (FDIS 2017), which takes place at the CRM in Barcelona from 3 to 7 July 2017.
I will be presenting a talk on Fractional Hamiltonian monodromy at the XXVth International Conference on Integrable Systems and Quantum symmetries (ISQS-25), which takes place in Prague from 6 to 10 June 2017. The talk is part of the special session on Spectral Asymptotics of Quantum Integrable Systems that is being organized by John Toth, San Vũ Ngọc, and Steve Zelditch.
Pulse coupled oscillator networks with delay are a source of interesting dynamics, for example, unstable attractors. In recent work with Pan Li and Wei Lin we found that such networks exhibit isochronous regions―subsets of the phase space filled with periodic orbits having the same period. We studied such isochronous regions both analytically and numerically, giving a proof of their existence and a detailed description of their properties.
Details can be found in our paper which has been published in Chaos and is also available from the arXiv.
Together with Andrea Giacobbe and Tudor Ratiu we are organizing a special session on Geometry and Dynamics at the 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS 2018) which takes place in Taipei, Taiwan from 5 to 9 July 2018.
On 2 December 2016 I give a talk on Fractional Hamiltonian Monodromy and Circle Actions at the GQT colloquium. The organizers of the GQT school and colloquium are Raf Bocklandt, Gil Cavalcanti, and Maarten Solleveld.
It is important to notice that the quadratic part of the Hénon-Heiles Hamiltonian is a resonant oscillator so we will be computing here a resonant normal form. This affects the definition of rangePart and inverseAd below.
First, we define the Hamiltonian as a list of homogeneous polynomials of successively higher degree.
Hpq = {1/2 (p1^2 + p2^2) + 1/2 (q1^2 + q2^2), q1^2 q2 - 1/3 q2^3};
where