Relativistic description of regular and chaotic dynamics in the giant monopole resonances

Nonlinear dynamical properties of giant monopole resonances in atomic nuclei are investigated within the time-dependent relativistic mean-field model. The time-series analysis and reconstruction of the phase space display two types of collective vibrations: regular motion for the isoscalar oscillations, and chaotic dynamics for the isovector mode. Information entropy functionals disclose the underlying nonlinear dynamics in quantum systems that have spatial as well as temporal structure.