The interaction of a system with quasi-periodic autonomous dynamics and chaotic (Rossler system) is considered. behavior Lyapunov exponents studied to identify possible types dynamics: chaos additional zero exponents, three-frequency two-frequency regimes, periodic oscillations the mode oscillation death. Keywords: oscillations, dynamical chaos, Rossler system, exponents.

A first nonperturbative and unitary treatment of multichannel systems with anomalous thresholds based on realistic potentials is presented. We consider the isospin one-half example system, $D\ensuremath{\pi}$, $D\ensuremath{\eta}$, ${D}_{s}\overline{K}$, ${D}^{*}\ensuremath{\pi}$, ${D}^{*}\ensuremath{\eta}$, ${D}^{*}\overline{K}$ coupled channels in ${J}^{P}={1}^{\ensuremath{-}}$ partial wave, ...