Dynamics of an electronic impact oscillator

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 318, Issue 6, 2003, Pages 514-521

  Clark, B K ^a   Rosa Jr , Epaminondas ^a   Hall, Adam D ^a   Shepherd, Tyson R ^a  

^a ILLINOIS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; OSCILLATORS (MECHANICAL);

CORRELATION DIMENSIONS; ELECTRONIC IMPACT; LYAPUNOV EXPONENT; MEASUREMENTS OF; NUMERICAL RESULTS; VIBRATING SURFACE;

OSCILLATORS (ELECTRONIC);

ARTICLE; CHAOTIC DYNAMICS; CORRELATION ANALYSIS; ELECTRONICS; MATHEMATICAL ANALYSIS; MOTION; OSCILLATOR; QUANTITATIVE ANALYSIS; QUANTUM MECHANICS; SIMULATION;

EID: 0344013152     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2003.09.054     Document Type: Article

References (23)

1. F.C. Moon, Chaotic and Fractal Dynamics, Wiley, New York, 1992; N.B. Tufillaro, T. Abbott, J. Reilly, An Experimental Approach to Nonlinear Dynamics and Chaos, Addison-Wesley, Redwood City, CA, 1992; F. Jülicher, C. R. Acad. Sci. (Paris) IV.
2. F.C. Moon, Chaotic and Fractal Dynamics, Wiley, New York, 1992; N.B. Tufillaro, T. Abbott, J. Reilly, An Experimental Approach to Nonlinear Dynamics and Chaos, Addison-Wesley, Redwood City, CA, 1992; F. Jülicher, C. R. Acad. Sci. (Paris) IV.
3. F.C. Moon, Chaotic and Fractal Dynamics, Wiley, New York, 1992; N.B. Tufillaro, T. Abbott, J. Reilly, An Experimental Approach to Nonlinear Dynamics and Chaos, Addison-Wesley, Redwood City, CA, 1992; F. Jülicher, C. R. Acad. Sci. (Paris) IV.
4. T.-Y. Li, J.A. Yorke, Am. Math. Monthly 82 (1975) 985.
5. P.J. Holmes, J. Sound Vib. 84 (1982) 173.
6. P. Devillard, J. Physique 4 (1994) 1003; A.C.J. Luo, R.P.S. Han, Nonlinear Dynamics 10 (1996) 1; P. Pieranski, Phys. Rev. A 37 (1988) 1782.
7. P. Devillard, J. Physique 4 (1994) 1003; A.C.J. Luo, R.P.S. Han, Nonlinear Dynamics 10 (1996) 1; P. Pieranski, Phys. Rev. A 37 (1988) 1782.
8. P. Devillard, J. Physique 4 (1994) 1003; A.C.J. Luo, R.P.S. Han, Nonlinear Dynamics 10 (1996) 1; P. Pieranski, Phys. Rev. A 37 (1988) 1782.
9. T.L. Vincent, A.I. Mees, Int. J. Bifur. Chaos 10 (2000) 579; D.L. Hill, Chaos 10 (2000) 676.
10. T.L. Vincent, A.I. Mees, Int. J. Bifur. Chaos 10 (2000) 579; D.L. Hill, Chaos 10 (2000) 676.
11. R.M. Everson, Physica D 19 (1986) 355.
12. C.R. Oliveira, P.S. Gonçalves, Physica A 265 (1999) 473.
13. R.L. Zimmermann, S. Celaschi, L.G. Neto, Am. J. Phys. 60 (1992) 370;
14. B.K. Clark, R.F. Martin Jr., R.J. Moore, K.E. Jesse, Am. J. Phys. 63 (1995) 157.
15. T. Schwager, T. Pöschel, Phys. Rev. E 57 (1998) 650; X. Zhang, L. Vu-Quok, Int. J. Impact Eng. 27 (2002) 317.
16. T. Schwager, T. Pöschel, Phys. Rev. E 57 (1998) 650; X. Zhang, L. Vu-Quok, Int. J. Impact Eng. 27 (2002) 317.
17. R. Cross, Am. J. Phys. 67 (1998) 222.
18. T.L. Vincent, IEEE Control Systems 17 (1997) 65.
19. E. Ott, Chaos in Dynamical Systems, Cambridge Univ. Press, New York, 1994.
20. M.J. Feigenbaum, Physica D 7 (1983) 16.
21. P. Grassberger, I. Procaccia, Physica D 9 (1983) 189.
22. A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastno, Physica D 16 (1985) 285.
23. F. Takens, in: D.A. Rand, L.S. Young (Eds.), Proceedings of the Symposium on Dynamical Systems and Turbulence, University of Warwick, Springer, Berlin, 1981.