NOSOV, V.R.; DOMINGUEZ, H; ORTEGA-HERRERA, J.A.
y
MEDA-CAMPANA, J.A.. Complex dynamics and chaos in commutable pendulum. Rev. mex. fis. [online].
2012,
vol.58, n.1, pp. 6-12.
ISSN 0035-001X.
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1. R.L. Devaney, An introduction to chaotic dynamical systems. 2nd ed. (Westview Press, 2003). [ Links ] 2. K. T. Alligood, Chaos: an introduction to dynamical systems. (Springer Verlag, New York, 1997). [ Links ] 3. P. Collet, and J.P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, (Birkhauser, 1980). [ Links ] 4. O.M. Sharkovskii, Ukrainian Math. Z. 16 (1964) 6171. [ Links ] 5. T.Y. Li, and J.A. Yorke, American Mathematical Monthly 82 (1975) 985992. [ Links ] 6. S.F. Kolyada, Ukrainian Mathematical Journal 56 (2004) 12411257. [ Links ] 7. M. Gutzwillez, Chaos in classical and Quantum Mechanics (SpringerVerlag, New York, LLC, 1990). [ Links ] 8. E.N. Lorenz, J. Atmos. Sci. 20 (1963) 130141. [ Links ] 9. O.E. Rössler, Phys. Lett. A57 (1976) 397398. [ Links ] 10. J.C. Sprott, Phys. Lett. E50 (1994) 647650. [ Links ] 11. L.O. Chua, M. Komuro, and T. Matsumoto, IEEE Transactionso in Circuits And Systems CAS33 (1986). [ Links ] 12. A.C. Pikovskii and M.I. Rabinovich, Doklady AN USSR 239 (1978) 301304. [ Links ] 13. V.S. Anischenko, and V.V. Astakhov, Radiotecnika i electronika 28 (1983) 11091115. [ Links ] 14. Y. Ueda, Nonlinear Problems in Dynamics. SIAM (1980) 311322. [ Links ] 15. G.M. Zaslavskii, Stochastic behavior of dynamic systems (Nauka, Moscow, 1984). [ Links ] 16. A.S. Elwakil, S. Ozoguz, and M.P. Kennedy, International Journal of Bifurcation and Chaos 13 (2003) 30933098. [ Links ] 17. E.S. Mchedlova and L.V. Krasichkov, Complex Dynamics of Piecewise Linear Model of the Van der Pol Oscillator Under External Periodic Force, eprint arXiv:nlin/0305027, 05/2003. [ Links ] 18. V.R. Nossov, H. Dominguez, and J.A. Ortega, "Estabilidad de un péndulo con conmutaciones", (Memorias del III Congreso Internacional en Matemáticas Aplicadas, Instituto Politécnico Nacional, México, 2007) pp. 245252. [ Links ] 19. V.R. Nossov, H. Dominguez, and J.A. Ortega, "Complex dynamics in an ideal commutable pendulum", (Proceedings of the 5th International Conference on Electrical Engineering, Computing Science and Automatic Control CCE, México, 2008). pp. 16. [ Links ] |