arxiv:0902.4233v2 [nlin.SI] 8 May 2009 Page 1 arxiv:0902.4233v2 [nlin.SI] 8 May 2009
BIFURCATIONS OF LIOUVILLE TORI IN ELLIPTICAL BILLIARDS VLADIMIR DRAGOVIC AND …

A comprehensive analysis of the Euler–Jacobi problem of motion in the field of two fixed
attracting centers is given, first classically and then quantum mechanically in semiclassical …

Billiards inside quadrics are considered as integrable dynamical systems with a rich
geometric structure. The two-way interaction between the dynamics of billiards and the …

We introduce fractional monodromy in order to characterize certain non-isolated critical
values of the energy–momentum map of integrable Hamiltonian dynamical systems …

A comprehensive study of periodic trajectories of billiards within ellipsoids in d-dimensional
Euclidean space is presented. The novelty of the approach is based on a relationship …

We show a natural relation between the monodromy formula for focus-focus singularities of
integrable Hamiltonian systems and a formula of Duistermaat–Heckman, and extend the …

We continue our previous study of level dynamics in the [O (6)–U (5)]⊃ O (5) transition of the
interacting boson model [Phys. Rev. C 73, 014306 (2006)] by using the semiclassical theory …

After reviewing the properties of the geodesic flow on the three-dimensional ellipsoid with
distinct semi-axes, we investigate the three-dimensional ellipsoid with the two middle semi …

Fractional Hamiltonian monodromy is a generalization of the notion of Hamiltonian
monodromy, recently introduced by [Nekhoroshev, Sadovskií, and Zhilinskií, CR Acad. Sci …

The 1∶ 1∶ 2 resonant elastic pendulum is a simple classical system that displays the
phenomenon known as Hamiltonian monodromy. With suitable initial conditions, the system …