TWIST ANGLES - A METHOD FOR DISTINGUISHING ISLANDS, TORI AND WEAK CHAOTIC ORBITS - COMPARISON WITH OTHER METHODS OF ANALYSIS

Authors
FROESCHLE C LEGA E
Citation
C. Froeschle et E. Lega, TWIST ANGLES - A METHOD FOR DISTINGUISHING ISLANDS, TORI AND WEAK CHAOTIC ORBITS - COMPARISON WITH OTHER METHODS OF ANALYSIS, Astronomy and astrophysics, 334(1), 1998, pp. 355-362
Citations number
20
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Astronomy and astrophysics → ACNP
ISSN journal
00046361
Volume
334
Issue
1
Year of publication
1998
Pages
355 - 362
Database
ISI
SICI code
0004-6361(1998)334:1<355:TA-AMF>2.0.ZU;2-J
Abstract
Using the standard map as a model problem we have investigated the met hod of the twist angles (Contopoulos and Voglis 1997) to distinguish i slands tori and weak chaotic orbits. In the case of regular orbits, we have shown the relationship with the frequency studying in particular the case of second order resonances. We have tested the sensitivity o f the method comparing it to the frequency analysis, the sup-map analy sis and the fast Lyapunov indicator.