Two-dimensional map for impact oscillator with drift

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 3 2, 2004, Pages

  Pavlovskaia, Ekaterina ^a   Wiercigroch, Marian ^a   Grebogi, Celso ^b  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; CONFORMAL MAPPING; DAMPING; DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; GRAPHIC METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS; TWO DIMENSIONAL; VISCOELASTICITY;

BIFURCATION METHODS; COSINE FUNCTIONS; DAMPING COEFFICIENTS; IMPACT OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 37649031038     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.036201     Document Type: Article

References (31)

1. H. Goyda and C. Teh, J. Pressure Vessel Technol. 111, 394 (1989).
2. M. Davies and B. Balachandran, Nonlinear Dyn. 22. 375 (2000).
3. M. Wiercigroch, R. D. Neilson, and M. A. Player, Phys. Lett. A 259, 91 (1999).
4. K.-C. Woo, A. A. Rodger, R. D. Neilson, and M. Wiercigroch, Chaos, Solitons Fractals 11, 2515 (2000).
5. A. E. Kobrinskii, Dynamics of Mechanisms with Elastic Connections and Impact Systems (ILIFFE Books, London, 1969).
6. F. Peterka, Acta Tech. CSAV 4, 462 (1974).
7. J. M, T. Thompson and R. Ghaffari, Phys. Rev. A 27, 1741 (1983).
8. S. W. Shaw and P. J. Holmes, J. Sound Vib. 90, 129 (1983).
9. S. Foale and S. R. Bishop, Philos. Trans. R. Soc. London, Ser. A 338, 547 (1992).
10. W. Chin, E. Ott, H. E. Nusse, and C. Grebogi, Phys. Rev. E 50, 4427 (1994).
11. S. Banerjee and C. Grebogi, Phys. Rev. E 59, 4052 (1999).
12. A. M. Krivtsov and M. Wiercigroch, Meccanica 34, 425 (1999).
13. A. M. Krivtsov and M. Wiercigroch, Chaos, Solitons Fractals 11, 2479 (2000).
14. E. Pavlovskaia, M. Wiercigroch, and C. Grebogi, Phys. Rev. E 64, 056224 (2001).
15. E. E. Pavlovskaia and M. Wiercigroch, J. Sound Vib. 267, 893 (2003).
16. E. Pavlovskaia and M. Wiercigroch, Chaos, Solitons Fractals 19, 151 (2003).
17. M. Oestreich, N. Hinrichs, and K. Popp, Arch. Appl. Mech. 66, 301 (1996).
18. N. Hinrichs, M. Oestreich, and K. Popp, Chaos, Solitons Fractals 8, 535 (1997).
19. U. Galvanetto and S. R. Bishop, Comput. Methods Appl. Mech. Eng. 163, 373 (1998).
20. U. Galvanetto, Comput. Methods Appl. Mech. Eng. 178, 291 (1999).
21. U. Galvanetto, Comput. Phys. Commun. 131, l (2000).
22. U. Galvanetto, Comput. Methods Appl. Mech. Eng. 190, 6075 (2001).
23. A. B. Nordmark, J. Sound Vib. 145, 279 (1991).
24. M. di Bernardo, M. I. Feigin, S. J. Hogan, and M. E. Holmer, Chaos, Solitons Fractals 10, 1881 (1999).
25. C. Budd and F. Dux, Philos. Trans. R. Soc. London, Ser. A 347, 365 (1994).
26. M. di Bernardo, P. Kowalczyk, and A. Nordmark, Physica D 170, 175 (2002).
27. H. Dankowicz and A. Nordmark, Physica D 136, 280 (2000).
28. M. di Bernardo, C. J. Budd, and A. R. Champneys, Physica D 160, 222 (2001).
29. H. E. Nusse and J. A. Yorke, Physica D 57, 39 (1992).
30. M. Wiercigroch, J. Sound Vib. 175, 700 (1994).
31. U. Galvanetto and S. R. Bishop, Int. J. Mech. Sci. 36, 683 (1994).