PROBABILITY OF CAPTURE FOR THE 2ND FUNDAMENTAL MODEL OF RESONANCE

The extension of the adiabatic invariant theory for one-degree of free dom Hamiltonian systems with varying parameters proposes a way of eval uating the probability of capture from one domain of the phase space i nto another. We derive here analytic expressions for these probabiliti es for a typical model of resonance of order N. We show that the proba bilities depend only upon two parameters and not four as expected a pr iori.