THE NONLINEAR DYNAMICS OF THE DAMPED AND DRIVEN TODA CHAIN .3. CLASSIFICATION OF THE NONLINEAR RESONANCES AND LOCAL BIFURCATIONS

The dynamics of damped and driven Toda chains is investigated. It is shown that the resonance and bifurcation scenario of alternating saddle-node and period-doubling bifurcations presented in the first part of this series on the nonlinear dynamics of the damped and driven Toda chain [Physica D 31 (1988) 103-116] can be explained by the specific structure of the eigenvalue spectrum of the associated linearized flow map D(x)phi-t\SIGMA.