Characterization of sensitivity to finite perturbations

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

Volumn 61, Issue 3, 2000, Pages 2533-2538

  Letz, Tobias ^a   Kantz, Holger ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS;

DEPENDENT STABILITY; FINITE SIZE; FINITE SIZE ANALYSIS; INFINITESIMAL PERTURBATIONS; MAXIMAL LYAPUNOV EXPONENT; MESOSCOPIC SCALE;

DYNAMICAL SYSTEMS;

EID: 4243566577     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2533     Document Type: Article

References (13)

1. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, England, 1997).
2. A. Wolf, J. B. Swift, L. Swinney, and A. Vastano, Physica D 16, 285 (1985).
3. M. T. Rosenstein, J. J. Collins, and C. J. de Luca, Physica D 65, 117 (1993).
4. H. Kantz, Phys. Lett. A 185, 77 (1994).
5. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
6. H. Kantz and T. Letz (in preparation).
7. A. Politi, R. Livi, G.-L. Oppo, and R. Kapral, Europhys. Lett. 22, 571 (1993).
8. E. Gutkin, Physica D 19, 311 (1986)
9. E. GutkinJ. Stat. Phys. 83, 7 (1996).
10. J. L. Vega, T. Uzer, and J. Ford, Phys. Rev. E 48, 3414 (1993).
11. B. V. Chirikov and F. Vivaldi, Physica D 129, 223 (1999).
12. E. Aurell, G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani, J. Phys. A 30, 1 (1997).
13. G. Boffetta, A. Crisanti, F. Paparella, A. Provenzale, and A. Vulpiani, Physica D 116, 301 (1998).