The relative Lyapunov indicator: An efficient method of chaos detection

Celestial Mechanics and Dynamical Astronomy

Volumn 90, Issue 1-2, 2004, Pages 127-138

  Sándor, Zsolt ^a   Érdi, Bálint ^a   Széll, András ^b,c   Funk, Barbara ^d  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b GLASGOW CALEDONIAN UNIVERSITY   (United Kingdom)

^c RUTGERS UNIVERSITY   (United States)

^d UNIVERSITY OF VIENNA   (Austria)

Author keywords

chaos detection; exoplanetary systems; Lyapunov indicators

Indexed keywords

EID: 11144273164     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10569-004-8129-4     Document Type: Conference Paper

References (13)

1. Contopoulos, G. and Voglis, N.: 1997, 'A fast method for distinguishing between ordered and chaotic orbits', Astr. Astrophys. 317, 73.
2. Froeschlé, C., Lega, E. and Gonczi, R.: 1997, 'Fast Lyapunov indicators. Application to asteroidal motion', Celest. Mech. Dyn. Astron. 67, 41.
3. Froeschlé, C., Guzzo, M. and Lega, E.: 2000, 'Graphical evolution of the Arnold's web: from order to chaos', Science 289, N.5487, 2108.
4. Guzzo, M., Lega, E. and Froeschlé C.: 2002, 'On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems', Phys. D 163, 1.
5. Kasting, J. F., Whitmire, D. P. and Reynolds, R. T.: 1993, 'Habitable zones around main sequence stars', Icarus 101, 108.
6. Menou, K. and Tabachnik, S.: 2003, 'Dynamical habitability of known extrasolar planetary systems', Astrophys. J. 583, 473.
7. Morbidelli, A. and Froeschlé C.: 1996, 'On the relationship between Lyapunov times and macroscopic instability times', Celest. Mech. Dyn. Astron. 63, 227.
8. Nekhoroshev, N. N.: 1977, 'Exponential estimates of the stability time of near-integrable Hamiltonian systems', Russ. Math. Surveys 32, 1.
9. Nesvorný, D. and Ferraz-Mello, S.: 1997, 'On the asteroidal population of the first-order Jovian resonances', Icarus 130, 247.
10. Sándor, Zs., Érdi, B. and Efthymiopoulos, C.: 2000, 'The phase space structure around L4 in the restricted three-body problem', Celest. Mech. Dyn. Astron. 78, 113.
11. Skokos, Ch.: 2001, 'Alignment indices: a new simple method for determining the ordered or chaotic nature of orbits', J. Phys. A (Math. Gen.) 34, 10029.
12. Voglis, N., Contopoulos, G. and Efthymiopoulos, C.: 1998, 'Method for distinguishing between ordered and chaotic orbits in four-dimensional maps', Phys. Rev. E 57, 372.
13. Voglis, N., Contopoulos, G. and Efthymiopoulos, C.: 1999, 'Detection of ordered and chaotic motion using the dynamical spectra', Celest. Mech. Dyn. Astron. 73, 211.