Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …

Modern notions and important tools of classical mechanics are used in the study of concrete
examples that model physically significant molecular and atomic systems. The parametric …

The hydrogen atom perturbed by sufficiently small homogeneous static electric and
magnetic fields of arbitrary mutual alignment is a specific perturbation of the Kepler system …

Kolmogorov–Arnold–Moser (or KAM) Theory was developed for conservative (Hamiltonian)
dynamical systems that are nearly integrable. Integrable systems in their phase space …

We consider a generalization of the 1: 1: 2 resonant swing–spring [see H. Dullin, A.
Giacobbe, RH Cushman, Physica D 190 (2004) 15] which is suggested both by the …

Quantum monodromy is a non-trivial qualitative characteristic of certain non-regular lattices
formed by the joint eigenvalue spectrum of mutually commuting operators. The latter are …

We demonstrate how relative equilibria of a vibrating molecule, which are families of
principal periodic orbits otherwise known as nonlinear normal modes, can be used to …

Dynamic coupling in Cooker's sloshing experiment with baffles | Physics of Fluids | AIP
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We study the dynamics near the origin of a family of autonomous Hamiltonian systems
associated with the polynomial function H= 1 2 (x 2+ X 2)+ 1 2 (y 2+ Y 2)+ δ (z 2+ Z 2)+[α (x …

We investigate the large-N limit of the BMN matrix model with classical bosonic membranes
which have spherical topologies and spin inside the 11-dimensional maximally …