Dissipative periodic processes

Dissipative Periodic Processes 1083

Periodic Solutions of Dissipative Systems Revisited

We reprove in an extremely simple way the classical theorem that time periodic dissipative systems imply the existence of harmonic periodic solutions, in the case of uniqueness. We will also show that, in the lack of uniqueness, the existence of harmonics is implied by uniform dissipativity. The localization of starting points and multiplicity of periodic solutions will be established, under su...

Dissipative Solitary Waves in Periodic Granular Crystals

We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dis-sipative terms in the equations of motion. We thereby propose a quantitatively-accurate extension of the H...

Elementary Processes in Dissipative Cosmic Medium

Quantum dynamics of a finite degrees of freedom is often much affected by interaction with the larger environment of cosmic medium. In this lecture we first review some recent developments of the theory of quantum dissipation in the linear open system. In the second part we discuss two classes of applications: decay of unstable particle in medium, and environmental effect on the parametric part...

Dissipative processes, quantum States, and entropy.