power spectra, generalized informational entropies and Lyapunov exponents. Furthermore, we try to identify possible pathways to chaos, including the intermittent one, previously put in evidence [@felea-09a].

Configuration and kinetic energy spaces
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In order to establish if a specific physical system presents a chaotic dynamics and to identify possible routes to chaos we analyzed the behaviour of a small bunch of trajectories in the configuration and in the kinetic energy space, respectively. For example, we took five trajectories separated by an $\epsilon = \Delta r=0.01\ \rm{fm}$ aperture, while keeping the rest of the initial phase space variables constant and let the system evolve over a given time $\left(\Delta t = 1,600\ \rm{fm}/c\right)$.

For the transient stages from adiabatic to resonance, the temporal evolution of an initially confined trajectory bundle was studied for the monopole and dipole oscillation modes of the potential wall and also for the limit situation, in which the individual and collective degrees of freedom remain uncoupled (Figs. \[fig:2\] and \[fig:3\]).

The configuration space revealed a high degree of symmetry in $\left(r,\theta\right)$ plane in both cases, $\left( 4+2\right)$ uncoupled nonlinear differential equations and monopole (left and middle panels). Also, that the central zone remained uncovered, reflecting the conservation 