Onset of chaotic dynamics in a ball mill: Attractors merging and crisis induced intermittency

Chaos

Volumn 12, Issue 3, 2002, Pages 601-609

  Manai, G ^a   Delogu, F ^b   Rustici, M ^a  

^a UNIVERSITY OF SASSARI   (Italy)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036710463     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1484016     Document Type: Article

References (46)

1. Theofrasto di Ereso (IV sec B.C.) De Lapidibus.
2. Anonymous (about 300 B.C.) De Natura Fossilicum.
3. W. Ostwald, Handbuch Chemie, I (Engleman, Leipzig, 1919), p. 70.
4. J.S. Benjamin and T. Volin, Metall. Trans. 5, 1929 (1974).
5. B.B. Khina and F.H. Froes, J. Metals 48, 36 (1996).
6. P.H. Shingu, K.N. Ishihara, and A. Otsuki, Mater. Sci. Forum 179-181, 5 (1995).
7. C. Caravati, F. Delogu, G. Cocco. and M. Rustici. Chaos 9. 219 (2000).
8. F. Delogu, "Solid phase reactivity under mechanical processing condiction. Structural evolution and trasformation kinetics," Ph.D. thesis, Universitá degli studi di Sassari. 1999.
9. C. Suryanarayana. Prog. Mater. Sci. 46. 1 (2001).
10. T.H. Courtney, Mater. Trans.. JIM 36. 110 (1995).
11. A.Y. Yermakov, Y.Y. Yurchikov. and V.A. Barinov. Phys. Met. Metallogr. 52. 50 (1981).
12. C.C Koch, O.B. Cavin, C.G. McKamey, and J.O. Scarbrough, Appl. Phys Lett. 43, 1017 (1983).
13. A.W. Weeber and H. Bakker. Physica B 153, 93 (1988).
14. G. Heinicke. Tribochemistry (Akademie-Verlag. Berlin 1984), Chap. 5.
15. Y. Chen, M. Bibole, R. Le Hazif. and G. Martin. Phys. Rev. B 48, 14 (1993).
16. H Huang, M.P. Dallimore, J. Pan. and P.G. McCormick. Mater. Sci. Eng., A 241, 38 (1998).
17. Proceedings of the 1997 International Symposium on Mechanical Alloyed, Metastable and Nanocrystalline Materials. ISMANAM.
18. F. Delogu, M. Monagheddu, G. Mulas, L. Schiffini. and G. Cocco, Int. J. Non-Equilib. Process. 11, 235 (2000).
19. F. Delogu, L. Schiffini. and G. Cocco. Philos. Mag. A 81(8), 1917 (2001).
20. F. Delogu, L. Schiffini, and G. Cocco, Mater. Sci. Forum 360-362, 337 (2001).
21. M. Rustici, G. Mulas, and G. Cocco, Mater. Sci. Forum 225-227, 243 (1996).
22. F. Delogu and G. Cocco, submitted.
23. M.P. Allen and D.J. Tildsley, Computer Simulation of Liquids (Oxford Science, Oxford, 1987).
24. E.H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed. (Dover, New York, 1944), pp. 193-200.
25. S.P. Timoshenko and J.N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970), pp. 409-422.
26. G. Manai, "Non linearità e caos nella dinamica di un gas granulare. Propagazione di reazioni combustive durante l'attivazione meccanochimica," Tesi di Laurea in Chimica, Universitá degli studi di Sassari, 2000-2001.
27. H. Kantz and T. Schreiber, in Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, 1997).
28. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, New York, 1993).
29. D.S. Broomhead and G.P. King, Physica D 20, 217 (1986).
30. H.D.I. Abarbanel, Analysis of Observed Chaotic Data (Springer-Verlag, New York, 1996).
31. H.D.I. Abarbanel, R. Brown, J.J. Sidorowich, and L.S. Tsimring, Rev. Mod. Phys. 65, 1331 (1993).
32. J.P. Ekmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
33. F. Takens, in Dynamical Systems and Turbulence, Lecture Notes in Mathematics, edited by D.A. Rand and L.S. Young (Springer-Verlag, Berlin, 1981), Vol. 898, p. 366.
34. A.M. Fraser and H.L. Swinney, Phys. Rev. A 33, 1134 (1986).
35. M.B. Kennel, R. Brown, and H.D.I. Abarbanel, Phys. Rev. A 45, 3403 (1992).
36. The TISEAN software package is publicly available at http://www.mpipks-dresden.mpg.de/̃tisean/TISEAN_2.1/index.html. The distribution includes an online documentation system.
37. R. Hegger, H. Kantz, and T. Schreiber, Chaos 9, 413 (1999).
38. J.M. Greene and J.S. Kim, Physica D 24, 213 (1987).
39. J.P. Ekmann, S.O. Kamphorst, D. Ruelle, and S. Ciliberto, Phys. Rev. A 34, 4971 (1986).
40. A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Physica D 16, 285 (1985).
41. M. Sano and Y. Sawada, Phys. Rev. Lett. 55, 1082 (1985).
42. P. Bryant and R. Brown, Phys. Rev. Lett. 65, 1523 (1990).
43. P. Bryant, R. Brown, and H.D.I. Abarbanel, Phys. Rev. A 43, 2787 (1991).
44. M.J. Feigenbaum, J. Stat. Phys. 19, 25 (1978).
45. Y.S. Fan and T.R. Chay, Phys. Rev. E 51, 1012 (1995).
46. C. Grebogi, E. Ott, F. Romeiras, and J.A. Yorke, Phys. Rev. A 36, 5365 (1987).