This paper focuses on the dynamics near the collinear equilibrium points L1, 2, 3 of the
spatial Restricted Three Body Problem (RTBP). It is well known that the linear behavior of …

The betatronic motion of a particle in a circular accelerator is analysed using the transfer
map description of the magnetic lattice. In the linear case the transfer matrix approach is …

A prominent aspect of quantum theory, tunneling arises in a variety of contexts across
several fields of study. This volume presents the work of international experts who discuss …

The problem of analytical determination of the stability domain around the points L 4 or L 5
of the Lagrangian equilateral configuration of the three-body problem has served in the …

Trapping phenomena involving nonlinear resonances have been considered in the past in
the framework of adiabatic theory. Several results are known for continuous-time dynamical …

The predominant source of nonlinearity in most existing accelerators are sextupoles, which
introduce nonlinear resonances. When the horizontal tune of an accelerator is near such a …

We review the fictitious integrable system approach which predicts dynamical tunneling
rates from regular states to the chaotic region in systems with a mixed phase space. It is …

This paper reports analytic estimates of the domain of Nekhoroshev stability for the orbits of
Jupiter's Trojan asteroids calculated in the space of proper elements (D p, ep), for a stability …

The geometry of the resonant orbits of symplectic four-dimensional mappings, in the
neighborhood of an elliptic fixed point, is analyzed in the framework of a perturbative …

Local bifurcations of fixed points, being symmetric with respect to a reversing point group
consisting of mirrors, two-and fourfold rotations, are studied for dynamical systems in R 2 …