Optimal targeting of chaos

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

Volumn 245, Issue 5, 1998, Pages 399-406

  Bollt, Erik M ^a   Kostelich, Eric J ^b  

^a UNITED STATES NAVAL ACADEMY   (United States)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; GRAPH ALGORITHMS; GRAPH THEORY;

CHAOTIC DYNAMICAL SYSTEMS; GRAPH THEORETIC ALGORITHM; NUMERICAL EXPERIMENTS; ONE DIMENSIONAL MAP; OPTIMAL PATHS;

COST FUNCTIONS;

EID: 0043096887     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00270-9     Document Type: Article

References (24)

1. E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64 (1990) 1196.
2. E.M. Bollt, J.D. Meiss, Physica D 81 (1995) 280; E.J. Kostelich, C. Grebogi, E. Ott, J.A. Yorke, Phys. Rev. E 47 (1993) 305;
3. E.M. Bollt, J.D. Meiss, Physica D 81 (1995) 280; E.J. Kostelich, C. Grebogi, E. Ott, J.A. Yorke, Phys. Rev. E 47 (1993) 305;
4. T. Shinbrot, C. Grebogi, E. Ott, J.A. Yorke, Nature 363 (1993) 411; J. Schweizer, M.P. Kennedy, Phys. Rev. E 52 (1995) 4865.
5. T. Shinbrot, C. Grebogi, E. Ott, J.A. Yorke, Nature 363 (1993) 411; J. Schweizer, M.P. Kennedy, Phys. Rev. E 52 (1995) 4865.
6. E. Barreto, E.J. Kostelich, C. Grebogi, E. Ott, J.A. Yorke, Phys. Rev. E 51 (1995) 4169.
7. C. Robinson, Dynamical Systems: Stability, Symbol Dynamics, and Chaos (CRC Press, Boca Raton, 1995).
8. P. Cvitanović, G. Gunaratne, I. Procaccia, Phys. Rev. A 38 (1988) 1503; P. Grassberger, H. Kantz, U. Moenig, J. Phys. A 22 (1989) 5217; F. Christiansen and A. Politi, Nonlinearity 9 (1996) 1623.
9. P. Cvitanović, G. Gunaratne, I. Procaccia, Phys. Rev. A 38 (1988) 1503; P. Grassberger, H. Kantz, U. Moenig, J. Phys. A 22 (1989) 5217; F. Christiansen and A. Politi, Nonlinearity 9 (1996) 1623.
10. P. Cvitanović, G. Gunaratne, I. Procaccia, Phys. Rev. A 38 (1988) 1503; P. Grassberger, H. Kantz, U. Moenig, J. Phys. A 22 (1989) 5217; F. Christiansen and A. Politi, Nonlinearity 9 (1996) 1623.
11. R. Gould, Graph Theory (Benjamin/Cummings, Menlo Park, 1988); J.A. Bondy, U.S.R. Murty, Graph Theory with Applications (Elsevier, New York, 1976).
12. R. Gould, Graph Theory (Benjamin/Cummings, Menlo Park, 1988); J.A. Bondy, U.S.R. Murty, Graph Theory with Applications (Elsevier, New York, 1976).
13. E. Bollt, M. Dolnik, Phys. Rev. E 64 (1990) 1196.
14. D. Lind, B. Marcus, An Introduction to Symbolic Dynamics and Coding (Cambridge Univ. Press, Cambridge, 1995).
15. J.D. Farmer, E. Ott, J.A. Yorke, Physica D 7 (1983) 153.
16. E. Bollt, J. Meiss, Physica D 81 (1995) 280.
17. Y. Lai, M. Dong, C. Grebogi, Phys. Rev. E 47 (1992) 86.
18. E. Bollt, E.J. Kostelich, in preparation.
19. E.J. Kostelich, C. Grebogi, E. Ott, J.A. Yorke, Phys. Rev. E 47 (1993) 305.
20. E.M. Bollt, Y.-C. Lai, C. Grebogi, Phys. Rev. Lett. 79 (1997) 3787.
21. B.R. Hunt, E. Ott, Phys. Rev. E 54 328 (1996).
22. T. Shinbrot, E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 65 (1990) 3250.
23. F.J. Romeiras, C. Grebogi, E. Ott, W.P. Dayawansa, Physica D 58 (1992) 165.
24. C. Hsu, Cell-to-Cell Mapping (Springer, New York, 1987).