An effective numerical method of the word-lifting technique in one-dimensional multimodal maps

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

Volumn 310, Issue 1, 2003, Pages 52-59

  Zhou, Zhong ^a   Cao, Ke Fei ^a,b,c  

^a YUNNAN UNIVERSITY   (China)

^b CCAST WORLD LABORATORY   (China)

^c Chinese Academy of Sciences   (China)

Author keywords

Inverse functions; Multimodal maps; Numerical solution; Symbolic dynamics; Word lifting technique

Indexed keywords

INVERSE PROBLEMS;

INVERSE FUNCTIONS; LIFTING TECHNIQUES; MULTIMODAL MAPS; NUMERICAL SOLUTION; SYMBOLIC DYNAMICS;

NUMERICAL METHODS;

ARTICLE; CALCULATION; DYNAMICS; LANGUAGE; MATHEMATICAL ANALYSIS; MATHEMATICS; METHODOLOGY; PARAMETER;

EID: 0037424833     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00243-3     Document Type: Article

References (21)

1. N. Metropolis, M.L. Stein, P.R. Stein, J. Combin. Theory A 15 (1973) 25.
2. P. Collet, J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, in: A. Jaffe, D. Ruelle (Eds.), Progress in Physics, Vol. 1, Birkhäuser, Boston, 1980.
3. B.-L. Hao, Elementary Symbolic Dynamics and Chaos in Dissipative Systems, World Scientific, Singapore, 1989.
4. B.-L. Hao, W.-M. Zheng, Applied Symbolic Dynamics and Chaos, in: Directions in Chaos, Vol. 7, World Scientific, Singapore, 1998.
5. P.J. Myrberg, Ann. Acad. Sci. Fenn. A 259 (1958) 1.
6. H. Kaplan, Phys. Lett. A 97 (1983) 365.
7. B. Derrida, A. Gervois, Y. Pomeau, Ann. Inst. H. Poincaré A 29 (1978) 305.
8. M.J. Feigenbaum, J. Stat. Phys. 19 (1978) 25.
9. M.J. Feigenbaum, J. Stat. Phys. 21 (1979) 669.
10. B. Derrida, A. Gervois, Y. Pomeau, J. Phys. A 12 (1979) 269.
11. W.-Z. Zeng, B.-L. Hao, G.-R. Wang, S.-G. Chen, Commun. Theor. Phys. 3 (1984) 283.
12. S.-J. Chang, J. McCown, Phys. Rev. A 31 (1985) 3791.
13. S.-L. Peng, X.-S. Zhang, K.-F. Cao, Phys. Lett. A 246 (1998) 87.
14. K.-F. Cao, S.-L. Peng, Phys. Rev. E 60 (1999) 2745.
15. H.-Z. Liu, Z. Zhou, S.-L. Peng, J. Phys. A 31 (1998) 8431.
16. Z. Zhou, S.-L. Peng, Physica D 140 (2000) 213.
17. Z. Zhou, S.-L. Peng, Chin. Phys. Lett. 17 (2000) 252.
18. J.H. Mathews, Numerical Methods for Mathematics, Science and Engineering, 2nd Edition, Prentice Hall, 1992.
19. S.-L. Peng, L.-M. Du, Phys. Lett. A 261 (1999) 63.
20. W.-M. Zheng, Phys. Rev. A 39 (1989) 6608.
21. Z. Zhou, H.-Z. Liu, S.-L. Peng, Symmetries of star products and metric universalities in one-dimensional quadrumodal maps, preprint YNU-CNLCS, 2002.