Statistical descriptions of nonlinear systems at the onset of chaos

Physica A: Statistical Mechanics and its Applications

Volumn 365, Issue 1, 2006, Pages 252-257

  Coraddu, Massimo ^a,b   Lissia, Marcello ^a,b   Tonelli, Roberto ^a,b,c  

^a UNIVERSITY OF CAGLIARI   (Italy)

^b SEZIONE DI CAGLIARI   (Italy)

^c INFM SLACS   (Italy)

Author keywords

Chaos; Entropy; Statistics

Indexed keywords

ASYMPTOTIC STABILITY; ENTROPY; GROWTH (MATERIALS); LOGISTICS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS; STATISTICAL METHODS;

ASYMPTOTIC LINEAR GROWTH; CHAOTIC SYSTEMS; NONLINEAR MAPS; STATISTICAL DESCRIPTIONS;

CHAOS THEORY;

EID: 33645988524     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.01.007     Document Type: Article

References (26)

1. Tsallis C., Plastino A.R., and Zheng W.-M. Chaos Solitons Fractals 8 (1997) 885
2. R. Tonelli, G. Mezzorani, F. Meloni, M. Lissia, M. Coraddu, arXiv:cond-mat/0412730.
3. Latora V., and Baranger M. Phys. Rev. Lett. 82 (1999) 520
4. Tsallis C. J. Stat. Phys. 52 (1988) 479
5. M. Lissia, M. Coraddu, R. Tonelli, Prog. Theor. Phys. 115 (2006) (arXiv:cond-mat/0501299).
6. Latora V., Baranger M., Rapisarda A., and Tsallis C. Phys. Lett. A 273 (2000) 97 (arXiv:cond-mat/9907412)
7. Costa U.M.S., Lyra M.L., Plastino A.R., and Tsallis C. Phys. Rev. E 56 (1997) 245
8. Tirnakli U., Ananos G.F.J., and Tsallis C. Phys. Lett. A 289 (2001) 51
9. Kaniadakis G., Lissia M., and Scarfone A.M. Phys. Rev. E 71 (2005) 046128 (arXiv:cond-mat/0409683)
10. Mittal D.P. Metrika 22 (1975) 35
11. Sharma B.D., and Taneja I.J. Metrika 22 (1975) 205
12. Borges E.P., and Roditi I. Phys. Lett. A 246 (1998) 399
13. Kaniadakis G., and Lissia M. Physica A 340 (2004) 15 (arXiv:cond-mat/0409615)
14. Kaniadakis G., Lissia M., and Scarfone A.M. Physica A 340 (2004) 41 (arXiv:cond-mat/0402418)
15. Naudts J. Physica A 316 (2002) 323 (arXiv:cond-mat/0203489)
16. Baldovin F., and Robledo A. Phys. Rev. E 66 (2002) 045104 (arXiv:cond-mat/0205371)
17. Baldovin F., and Robledo A. Europhys. Lett. 60 (2002) 518 (arXiv:cond-mat/0205356)
18. Baldovin F., and Robledo A. Phys. Rev. E 69 (2004) 045202R (arXiv:cond-mat/0304410)
19. Ananos G.F.J., and Tsallis C. Phys. Rev. Lett. 93 (2004) 020601 (arXiv:cond-mat/0401276)
20. Abe S. Phys. Lett. A 224 (1997) 326
21. Kaniadakis G. Physica A 296 (2001) 405
22. Kaniadakis G. Phys. Rev. E 66 (2002) 056125 (arXiv:cond-mat/0210467)
23. Kaniadakis G. Phys. Rev. E 72 (2005) 036108 (arXiv:cond-mat/0507311)
24. Kaniadakis G., and Scarfone A.M. Physica A 340 (2004) 102 (arXiv:cond-mat/0310728)
25. Abe S., Kaniadakis G., and Scarfone A.M. J. Phys. A (Math. Gen.) 37 (2004) 10513 (arXiv:cond-mat/0401290)
26. Johal R.S., and Tirnakli U. Physica A 331 (2004) 487