Disorder versus order: Global multifractal relationship between topological entropies and universal convergence rates

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 211, Issue 3, 1996, Pages 148-154

  Zhang, Xu Sheng ^a   Liu, Xiao Dong ^b   Kwek, Keng Huat ^c   Peng, Shou Li ^a,d  

^a YUNNAN UNIVERSITY   (China)

^b Yunnan Polytechnic University   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^d CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; TOPOLOGY;

CHAOTIC DYNAMICS; CONVERGENCE RATES; FRACTAL INTERPOLATION; ITERATED FUNCTION SYSTEM; METRIC REGULARITY; MULTI FRACTALS; SELF-SIMILARITIES; TOPOLOGICAL ENTROPY;

FRACTAL DIMENSION;

EID: 0005803069     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(95)00923-X     Document Type: Article

References (19)

1. M.J. Feigenbaum, J. Stat. Phys. 19 (1978) 25; 21 (1979) 669.
2. M.J. Feigenbaum, J. Stat. Phys. 19 (1978) 25; 21 (1979) 669.
3. S.-L. Peng and K.-F. Cao, Phys. Lett. A 131 (1988) 261; 133 (1988) 543;
4. S.-L. Peng and K.-F. Cao, Phys. Lett. A 131 (1988) 261; 133 (1988) 543;
5. K.-F. Cao, R.-L. Liu and S.-L. Peng, Phys. Lett. A 136 (1989) 213;
6. K.-F. Cao and S.-L. Peng, J. Phys. A 25 (1992) 589.
7. S.-L. Peng, K.-F. Cao and Z.-X. Chen, Phys. Lett. A 193 (1994) 437.
8. B. Derrida, A. Gervois and Y. Pomeau, Ann. Inst. Henri Poincaré A 29 (1978) 305.
9. Z.-X. Chen, K.-F. Cao and S.-L. Peng, to be published in Phys. Rev E.
10. S.-L. Peng and K.-F. Cao, Preprint CNCS-YU-94-005.
11. J.A. Yorke, C. Grebogi, E. Ott and L. Tedeschini-Lalli, Phys. Rev. Lett. 54 (1985) 1095.
12. K. Shibayama, in: The theory of dynamical systems and its applications to nonlinear problems, ed. H. Kawakami (World Scientific, Singapore, 1984) p. 124.
13. W.-M. Zheng, J. Phys. A 22 (1989) 3307;
14. W.-M. Zheng and B.-L. Hao, Prog. Phys. 10 (1990) 316 (in Chinese).
15. J. Ford, Phys. Today 40 (April, 1983);
16. G.J. Chaitin, Sci. Am. 47 (May, 1975).
17. J.-P. Eckmann, H. Epstein and P. Wittwer, Commun. Math. Phys. 93 (1984) 495.
18. K. Falconer, Fractal geometery Mathematical foundations and applications (Wiley, New York, 1990).
19. M.F. Barnsley, Fractals everywhere (Academic press, New York, 1988) Ch. 6.