The susceptibility of chaotic Hamiltonian systems with 2 degrees of freedom to a perturbation of harmonical time dependence is studied. The dispersion relation for the susceptibility that includes the Lyapunov exponent is established. The equations that connect the parameters of the susceptibility with those of the power spectrum of the coordinate and the density of states are derived from the equivalence of quantum and classical susceptibilities in the limit ħ → 0. The susceptibility of the Pullen-Edmonds nonlinear oscillator is calculated as an example.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)