Dynamical Systems and Nonlinear Control Theory
Vainchtein, Dimitri, Neishtadt, A I and Mezić, Igor (2006), "On passage through resonances in volume-preserving systems", Chaos: An Interdisciplinary Journal of Nonlinear Science.
Resonance processes are common phenomena in multiscale (slow-fast) systems. In the present paper we consider capture into resonance and scattering on resonance in 3D volume-preserving multiscale systems. We propose a general theory of