Adaptive box-assisted algorithm for correlation-dimension estimation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 6, 2000, Pages 7872-7881

  Corana, Angelo ^a  

^a CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CORRELATION METHODS;

ADAPTIVE BOX-ASSISTED ALGORITHMS;

TIME SERIES ANALYSIS;

EID: 0034516453     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.7872     Document Type: Article

References (21)

1. P. Grassberger and I. Procaccia, Phys. Rev. Lett. 50, 346 (1983).
2. P. Grassberger and I. Procaccia, Physica D 9, 189 (1983).
3. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, 1997).
4. J. Theiler, J. Opt. Soc. Am. A 7, 1055 (1990).
5. P. Grassberger, Phys. Lett. A 148, 63 (1990).
6. A. Corana, A. Casaleggio, C. Rolando, and S. Ridella, Parallel Comput. 17, 809 (1991).
7. E. Toledo, S. Toledo, Y. Almog, and S. Akselrod, Phys. Lett. A 229, 375 (1997).
8. S. Chirravuri, S.M. Bhandarkar, and D. Whitmiret, Int. J. Supercomput. Appl. 9, 296 (1995).
9. A. Corana, Concurrency: Practice and Experience 10, 737 (1998).
10. S. Bingham and M. Kot, Phys. Lett. A 140, 327 (1989).
11. J. Theiler, Phys. Rev. A 36, 4456 (1987).
12. M. Ding, C. Grebogi, E. Ott, T. Sauer, and J.A. Yorke, Physica D 69, 404 (1993).
13. H. Isliker, Phys. Lett. A 169, 313 (1992).
14. A. Casaleggio and A. Corana, Chaos Solitons Fractals 11, 2017 (2000).
15. H. Heng, M. Bauer, and W. Martienssen, Chaos Solitons Fractals 7, 197 (1996).
16. M.A.H. Nerenberg and C. Essex, Phys. Rev. A 42, 7065 (1990).
17. N.A. Gershenfeld, Physica D 55, 135 (1992).
18. A. Jedynak, M. Bach, and J. Timmer, Phys. Rev. E 50, 1770 (1994).
19. J.P. Eckmann and D. Ruelle, Physica D 56, 185 (1992).
20. A. Galka, T. Maab, and G. Pfister, Physica D 121, 237 (1998).
21. R. Badii and A. Politi, J. Stat. Phys. 40, 725 (1985).