𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A measure of phase space delocalization for the eigenfunctions of non-linear vibrational systems

✍ Scribed by J. Brickmann; P.C. Schmidt


Book ID
103022328
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
388 KB
Volume
104
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis


A measure of phase space delocalization for the eigenfunctions of regular and irregular eigenstates of a bound hamiltonian is introduced on the basis of a smoothed Mgner distribution function and a phase space graining. This measure, which is an entropyake quantity, shows a large dispersion as a function of energy above and below the critical energy EC for dassically chaotic motion. It is conjectured that many chaotic states also show properties of regular states roe.


πŸ“œ SIMILAR VOLUMES


EXTENSIONS OF THE PHASE SPACE LINEARIZAT
✍ R.N. Iyengar; D. Roy πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 482 KB

This paper is devoted to further exploration of the PSL technique developed earlier in its companion paper. To start with, it is shown that the method is not only appicable for obtaining one-periodic orbits, but can be made use of for obtaining every conceivable orbit, including subharmonic or perio

Analysis of the Non-Linear Vibration Cha
✍ K.S. Kim; M.J. Lee πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 228 KB

In this paper, a mathematical model for a belt-driven system is proposed to analyze vibration characteristics of driving units having belts, and free and forced vibration analyses are carried out. The mathematical model for a beltdriven system includes belts, pulleys, spindle and bearings. The mater

A NEW DERIVATION OF THE FREQUENCY RESPON
✍ D.E. ADAMS; R.J. ALLEMANG πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 272 KB

Frequency response function matrices relate the inputs and the outputs of structural dynamic systems. If a system is linear the frequency response function matrix is the same for any combination or types of inputs over the entire operating range. Furthermore, the frequency response matrix of a linea

EXPERIMENTAL STUDY OF THE VIBRATIONAL BE
✍ M. BOLTEΕ½AR; J.K. HAMMOND πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 409 KB

The article describes an experimental analysis devised to determine the responses of a multi-degree-of-freedom non-linear mechanical system to various types and degrees of excitation. Such a system was designed and built to permit analysis in the time, frequency and phase-space domains. The system c