Dynamics of “leaking” Hamiltonian systems

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

Volumn 66, Issue 6, 2002, Pages 6-

  Schneider, Judit ^a   Tél, Tamás ^b   Neufeld, Zoltán ^c  

^a UNIVERSITY OF POTSDAM   (Germany)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CHEMICAL REACTIONS; COMPUTER SIMULATION; HYDRODYNAMICS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; VISUALIZATION;

DROPLET PATTERNS; FILAMENTAL STRUCTURES; HAMILTONIAN FOLIATION; LYAPUNOV EXPONENTS;

HAMILTONIANS;

ARTICLE;

EID: 41349112685     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.066218     Document Type: Article

References (29)

1. G. Pianigiani and J. A. Yorke, Trans. Am. Math. Soc. 252, 351 (1979).
2. S. Bleher, C. Grebogi, E. Ott, and R. Brown, Phys. Rev. A 38, 930 (1988).
3. O. Legrand and D. Sornette, Europhys. Lett. 11, 538 (1990).
4. A. Lopes and R. Markarian, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 56, 651 (1996);
5. N. Chernov and R. Markarian, Bol. Soc. Bras. Math 28, 271 (1997);
6. N. Chernov, R. Markarian, and Troubetzkoy, Ergod. Theory Dyn. Syst. 18, 1049 (1998);
7. Ergod. Theory Dyn. Syst.N. ChernovR. MarkarianTroubetzkoy20, 1007 (2000).
8. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
9. V. Paar and N. Pavin, Phys. Rev. E 55, 4112 (1997);
10. Phys. Rev. EV. Paar and H. Buljan, 62, 4869 (2000);
11. Phys. Rev. EH. Buljan and V. Paar, 63, 066205 (2001).
12. R. Pierrehumbert, Chaos, Solitons Fractals 4, 1091 (1994).
13. Z. Neufeld, C. López, and P. Haynes, Phys. Rev. Lett. 82, 2606 (1999);
14. Z. Neufeld, Phys. Rev. E 61, 3857 (2001);
15. C. López, Phys. Chem. Earth 26, 313 (2001).
16. T. Tél, in Directions in Chaos, edited by Hao-Bai Lin (World Scientific, Singapore, 1990), p. 149.
17. Y.-C. Lai, T. Tél, and C. Grebogi, Phys. Rev. E 48, 709 (1993).
18. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
19. Z. Neufeld, P. Haynes, and G. Picard, Phys. Fluids 12, 2506 (2000).
20. F. Christiansen and P. Grassberger, Phys. Lett. A 181, 47 (1993);
21. Y. Lau, J. Finn, and E. Ott, Phys. Rev. Lett. 66, 978 (1991).
22. J. Jacobs, E. Ott, T. Antonsen, and J. Yorke, Physica D 110, 1 (1997);
23. Z. Neufeld and T. Tél, Phys. Rev. E 57, 2832 (1998).
24. J. Nagler (private communications).
25. A. E. Motter and P. S. Letelier, Phys. Lett. A 285, 127 (2001).
26. M. L. Roukes and O. L. Alerhand, Phys. Rev. Lett. 65, 1651 (1990);
27. S. Ree and L. E. Reichl, Phys. Rev. E 65, 055205 (2002);
28. H.-S. Sim and H. Schomerus, e-print cond-mat/0203091.
29. J. Schneider and T. Tél (unpublished).