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Complex analytic dynamics phenomena in a system of coupled nonautonomous oscillators with alternative excitation

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Abstract

A model system of two coupled nonautonomous oscillators is proposed, in which the phenomena of complex analytic dynamics (Mandelbrot and Julia sets, etc.) characteristic of complex logistic maps are realized. The idea underlying the model is based on the mechanism of alternative excitation transfer from one subsystem to another and on the method (well known in the theory of oscillations) of slowly varying complex amplitudes.

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References

  1. H.-O. Peitgen and P.-H. Richter, The Beauty of Fractals. Images of Complex Dynamical Systems (Springer, Berlin, 1986; Mir, Moscow, 1993).

    MATH  Google Scholar 

  2. C. Beck, Physica D 125, 171 (1999).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. O. B. Isaeva, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 9(6), 129 (2001).

    MATH  Google Scholar 

  4. O. B. Isaeva and S. P. Kuznetsov, http://xxx.lanl.gov/abs/nlin.CD/0509012

  5. O. B. Isaeva and S. P. Kuznetsov, http://xxx.lanl.gov/abs/nlin.CD/0509013

  6. O. B. Isaeva, S. P. Kuznetsov, and V. I. Ponomarenko, Phys. Rev. E 64, 055201 (2001).

    Google Scholar 

  7. S. P. Kuznetsov, Phys. Rev. Lett. 95, 144 101 (2005).

    Google Scholar 

  8. S. P. Kuznetsov and E. P. Seleznev, Zh. Éksp. Teor. Fiz. 129, 400 (2006) [JETP 102, 355 (2006)].

    MathSciNet  Google Scholar 

  9. S. P. Kuznetsov and I. R. Sataev, Phys. Lett. A 365, 97 (2007).

    Article  ADS  Google Scholar 

  10. O. B. Isaeva, A. Yu. Jalnine, and S. P. Kuznetsov, Phys. Rev. E 74, 046 207 (2006).

    Google Scholar 

  11. A. Yu. Jalnine and S. P. Kuznetsov, Zh. Tekh. Fiz. 77(4), 10 (2007) [Tech. Phys. 52, 401 (2007)].

    Google Scholar 

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Authors and Affiliations

  1. Institute of Radio Engineering and Electronics (Saratov Branch), Russian Academy of Sciences, Saratov, 410019, Russia

    O. B. Isaeva & S. P. Kuznetsov

  2. Department of Mathematics, University of Portsmouth, Pourtsmouth, PO1 3HE, UK

    A. Osbaldestin

Authors
  1. O. B. Isaeva
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  2. S. P. Kuznetsov
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  3. A. Osbaldestin
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Corresponding author

Correspondence to O. B. Isaeva.

Additional information

Original Russian Text © O.B. Isaeva, S.P. Kuznetsov, A. Osbaldestin, 2007, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 33, No. 17, pp. 69–76.

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Isaeva, O.B., Kuznetsov, S.P. & Osbaldestin, A. Complex analytic dynamics phenomena in a system of coupled nonautonomous oscillators with alternative excitation. Tech. Phys. Lett. 33, 748–751 (2007). https://doi.org/10.1134/S1063785007090106

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  • DOI: https://doi.org/10.1134/S1063785007090106

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