Chaoslike behavior in nonchaotic systems at finite computation precision

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

Volumn 63, Issue 4, 2001, Pages

  Shi, Pengliang ^a   He, Daihai ^a   Kang, Wei ^a   Fu, Wujiu ^b   Hu, Gang ^a,c  

^a BEIJING NORMAL UNIVERSITY   (China)

^b Fuzhou Normal Coll   (China)

^c CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; LYAPUNOV METHODS; MATHEMATICAL MODELS; TIME VARYING SYSTEMS;

TWO DIMENSIONAL MAP SYSTEMS;

CHAOS THEORY;

EID: 0035304266     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.046310     Document Type: Article

References (16)

1. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
2. G. Benettin, L. Galgani, A Giorgilli, and J.-M. Strelcyn, Meccanica 15, 21 (1980).
3. J. L. Kaplan and J. A. Yorke, Commun. Math. Phys. 67, 93 (1979).
4. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1994).
5. A. S. Pikovsky and U. Feudel, Chaos 5, 253 (1995).
6. S. Kuznetsov, E. Neumann, A. Pikovsky and I. R. Sataev, Phys. Rev. E 62, 1995 (2000).
7. R. Bowen, J. Differential, J. Diff. Eqns. 18, 333 (1975).
8. S. M. Hammel, J. A. York, and C. Grebogi, Bull. Am. Math. Soc. 19, 465 (1988).
9. C. Grebogi, S. M. Hammel, J. A. York, and T. Sauer, Phys. Rev. Lett. 65, 1527 (1990).
10. S. Dawson, C. Grebogi, T. Sauer, and J. A. York, Phys. Rev. Lett. 73, 1927 (1994).
11. J. M. Sanz-Serna and S. Larsson, Appl. Numer. Math. 13, 181 (1993).
12. T. Sauer, C. Grebogi, and S. M. Hammel, Phys. Rev. Lett. 79, 59 (1997).
13. H. F. von Bremen, F. E. Udwadia, and W. Proskurowski, Physica D 101, 1 (1997).
14. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 16, 285 (1985).
15. J. M. Greene and J.-S. KIM, Physica D 24, 213 (1987).
16. K. Ramasubramanian and M. S. Sriram, Physica D 139, 72 (2000).