The chattering dynamics of an ideal bouncing ball

Europhysics Letters

Volumn 64, Issue 1, 2003, Pages 36-42

  Giusepponi, S ^a   Marchesoni, F ^a  

^a UNIVERSITY OF CAMERINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141859894     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00500-3     Document Type: Article

References (18)

1. LUCK J. M. and MEHTA A., Phys. Rev. E, 48 (1993) 3988.
2. MEHTA A. and LUCK J. M., Phys. Rev. Lett., 65 (1990) 393.
3. TUFILLARO N. B., Phys. Rev. E, 50 (1994) 4509.
4. TUFILLARO N. B., ABBOTT T. A. and REILLY J. P., An Experimental Approach to Nonlinear Dynamics and Chaos (Addison-Wesley, Reading, Mass.) 1992.
5. FERMI E., Phys. Rev., 75 (1949) 1169.
6. PULSTYLNIKOV L. D., Trans. Moscow Math. Soc., 2 (1978) 1.
7. CHIRIKOV B. V., Phys. Rep., 52 (1979) 263.
8. LICHTENBERG A. J., LIEBERMAN M. A. and COHEN R. H., Physica D, 1 (1980) 291.
9. GUOKENHEIMER J. and HOLMES P., Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer, Berlin) 1983, Chapt. 2.
10. JAEGER H. M., NAGEL S. R. and BEHRINGER R. P., Rev. Mod. Phys., 68 (1996) 1259.
11. KADANOFF L. P., Rev. Mod. Phys., 71 (1999) 435.
12. See, e.g., SZYMANSKI K. and LABAYE Y., Phys. Rev. E, 59 (1999) 2863; KOWALIK Z. J., FRANASZEK M. and PIERANSKI P., Phys. Rev. A, 37 (1988) 4016.
13. See, e.g., SZYMANSKI K. and LABAYE Y., Phys. Rev. E, 59 (1999) 2863; KOWALIK Z. J., FRANASZEK M. and PIERANSKI P., Phys. Rev. A, 37 (1988) 4016.
14. α depends on the ball impact velocity relative to the platform [10] and approaches unity for vanishingly small bounce amplitudes, i.e. during the chattering process.
15. GIUSEPPONI S. and MARCHESONI F., work in preparation; ANDERSON S. E., University of Michigan, Doctorate thesis (2001).
16. VASCONCELOS G. L., CUNHA F. V. jr. and VEERMAN J. J. P., Physica A, 295 (2001) 261; COSTA R. L., VEERMAN J. J. P. and VASCONCELOS G. L., Europhys. Lett., 60 (2002) 220.
17. VASCONCELOS G. L., CUNHA F. V. jr. and VEERMAN J. J. P., Physica A, 295 (2001) 261; COSTA R. L., VEERMAN J. J. P. and VASCONCELOS G. L., Europhys. Lett., 60 (2002) 220.
18. MARCONI U. M. B., CONTI M. and VULPIANI A., Europhys. Lett., 51 (2000) 685.