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
A measure of phase space delocalization for the eigenfunctions of non-linear vibrational systems
β 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.
β¦ 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.
π SIMILAR VOLUMES
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
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
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