Chaos and geometrical resonance in the damped pendulum subjected to periodic pulses

Journal of Mathematical Physics

Volumn 38, Issue 3, 1997, Pages 1477-1483

  Chacón, Ricardo ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031485438     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531816     Document Type: Article

References (20)

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6. See, for instance, G. L. Baker, and J. P. Gollub, Chaotic Dynamics (Cambridge University Press, Cambridge, 1990), and references therein.
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14. P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists (Springer-Verlag, Berlin, 1971).
15. Nonlinear systems periodically excited by pulses of constant amplitude, simulated by δ functions, have previously been considered in different contexts: see, for instance, M. R. Guevara and L. Glass, J. Math. Biol. 14, 1 (1982); M. Dolnik, I. Schreiber, and M. Marek, Phys. Lett. A 100, 316 (1984); D. L. González and O. Piro, Phys. Rev. Lett. 50, 870 (1983).
16. Nonlinear systems periodically excited by pulses of constant amplitude, simulated by δ functions, have previously been considered in different contexts: see, for instance, M. R. Guevara and L. Glass, J. Math. Biol. 14, 1 (1982); M. Dolnik, I. Schreiber, and M. Marek, Phys. Lett. A 100, 316 (1984); D. L. González and O. Piro, Phys. Rev. Lett. 50, 870 (1983).
17. Nonlinear systems periodically excited by pulses of constant amplitude, simulated by δ functions, have previously been considered in different contexts: see, for instance, M. R. Guevara and L. Glass, J. Math. Biol. 14, 1 (1982); M. Dolnik, I. Schreiber, and M. Marek, Phys. Lett. A 100, 316 (1984); D. L. González and O. Piro, Phys. Rev. Lett. 50, 870 (1983).
18. A. Zygmund, Trigonometric Series (Cambridge University Press, Cambridge, 1990).
19. J. A. Sanders and F. Verhulst, Averaging Methods in Nonlinear Dynamical Systems (Springer-Verlag, New York. 1985).
20. R. Chacón (unpublished).