| Автор | G E Powell |
| Автор | I C Percival |
| Дата выпуска | 1979-11-01 |
| dc.description | Regular and irregular motions of bounded conservative Hamiltonian systems of N degrees of freedom can be distinguished by the structure of the frequency spectrum of a single trajectory. The spectral entropy S is introduced which provides a measure of the distribution of the frequency components. Numerical calculations on the model Henon and Heiles system and a realistic molecular model are performed. Power spectra are obtained from numerical solutions to Hamilton's equations using fast Fourier transforms and the Hanning method. For regular trajectories S is found to stabilise after a finite time of integration, while for irregular cases S increases erratically. Estimates of the relative volume of regular regions of phase space as a function of energy are given for the two systems. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A spectral entropy method for distinguishing regular and irregular motion of Hamiltonian systems |
| Тип | paper |
| DOI | 10.1088/0305-4470/12/11/017 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 12 |
| Первая страница | 2053 |
| Последняя страница | 2071 |
| Аффилиация | G E Powell; Dept. of Appl. Math., Queen Mary Coll., Univ. of London, London, UK |
| Аффилиация | I C Percival; Dept. of Appl. Math., Queen Mary Coll., Univ. of London, London, UK |
| Выпуск | 11 |
