We show that a number of models in virus dynamics, epidemiology and plant biology can be presented as ``damped" versions the Lotka-Volterra predator-prey model, by analogy to damped harmonic oscillator. The deepens with use Lyapunov functions, which allow us characterize their dynamics even make some estimates.

Quantum chaos—the study of quantized nonintegrable Hamiltonian systems—is an extremely well-developed and sophisticated field. By contrast, very little work has been done in looking at quantum versions of systems which classically exhibit dissipative chaos. Using the decoherence formalism of Gell-Mann and Hartle, I find a quantum mechanical analog of one such system, the forced damped Duffing o...

The asymmetrically forced, damped Duung oscillator is introduced as a prototype model for analyzing the homoclinic tangle of symmetric dissipative systems with symmetry breaking disturbances. Even a slight xed asymmetry in the perturbation may cause a substantial change in the asymptotic behavior of the system, e.g. transitions from two sided to one sided strange attractors as the other paramet...