Return map for the chaotic dripping faucet

Progress of Theoretical Physics Supplement

Volumn , Issue 139, 2000, Pages 507-516

  Coullet, P ^a   Mahadevan, L ^b   Riera, C ^a  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034375482     PISSN: 03759687     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTPS.139.507     Document Type: Article

References (21)

1. E. Mariotte, Traité du mouvement des eaux et des autres corps fluides (E. Michallet, Paris, 1686).
2. P. S. Laplace, Méchanique céleste, suppl. au livre X (1805).
3. T. Young, Philos. Trans. R. Soc. London 95 (1805), 65.
4. J. Eggers, Rev. Mod. Phys. 69 (1997), 865.
5. R. S. Shaw, The dripping faucet as a model chaotic system (Aerial Press, 1984).
6. A. D'Innocenzo and L. Renna, Phys. Rev. E55 (1997), 6676.
7. J. F. Padday and A. R. Pitt, Philos. Trans. R. Soc. London A275 (1973), 489.
8. E. Pitts, J. Inst. Math. Appl. 17 (1976), 387.
9. D. H. Michael and P. G. Williams, Proc. R. Soc. London A351 (1976), 117.
10. N. Fuchikami, S. Ishioka and K. Kiyono, J. Phys. Soc. Jpn. 68 (1999), 1185.
11. J. Eggers and T. F. Dupont, J. Fluid Mech. 262 (1994), 205.
12. M. S. Longuet-Higgins, B. R. Kerman and K. Lunde, J. Fluid Mech. 230 (1991), 365.
13. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57 (1985), 617 .
14. A. Andronov and M. Leontovich, J. State Univ. Gorki 6 (1937), 3.
15. J. Eggers, Phys. Rev. Lett. 71 (1993), 3458.
16. A. Arneodo, P. Coullet, E. A. Spiegel and C. Tresser, Physica D14 (1985), 327.
17. L. Renna, Phys. Lett. A261 (1999), 3.
18. T. Katsuyama and K. Nagata, J. Phys. Soc. Jpn. 68 (1999), 1185.
19. K. Dreyer and F. R. Hickey, Am. J. Phys. 59 (1991), 619.
20. C. Clanet and J. C Lasheras, J. Fluid Mech. 383 (1999), 307.
21. J. C Sartorelli, W. M. Gonçalves and R. D. Pinto, Phys. Rev. E49 (1994), 49.