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Strange attractors in nonlinear oscillators

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Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

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References

  • Arrowsmith D.K. & Taha, K.J. [1983] Meccanica 18, 195.

    Google Scholar 

  • Belogortsev, A.B., Vavriv D.M. & Tretyakov, O.A. [1993] Appl. Mech. Rev. 46, 372.

    Google Scholar 

  • Bogoliubov, N.N. & Mitropolsky, Y.A. [1961] Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach, New York).

    Google Scholar 

  • Bolotin, V.V. [1964] Dynamic Stability of Elastic Systems (Holden-Day, San Francisco).

    Google Scholar 

  • Dimitriev, A.S., Kishov W.A & Spiro, A.G. [1983] Radiotechnika i Elektrotechnika 12, 2430.

    Google Scholar 

  • Dimitriev, A.S., Komlev, U.A. & Turaev, D.V. [1992] Int. J. Bifurcation and Chaos 2, 93.

    Google Scholar 

  • Endo, T. & Saito, T. [1990] Transactions of the IEICE E73, 763.

    Google Scholar 

  • Guckenheimer, J. & Holmes, P. [1983] Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York).

    Google Scholar 

  • Hayashi, C. [1985] Nonlinear Oscillations in Physical Systems (Princeton University Press, Princeton).

    Google Scholar 

  • Kawakami, H. & Hayashi, C. [1981] 26 Int. Wiss. Coll. TH Ilmenau 1981.

    Google Scholar 

  • Magnus, W. & Winkler, S. [1966] Hill's Equation (Interscience, New York).

    Google Scholar 

  • Nayfeh, A.H. & Mook, D.T. [1979] Perturbation methods (John Wiley and Sons, New York).

    Google Scholar 

  • Parlitz, U. & Lauterborn, W. [1987] Phys. Rev. A36, 1428.

    Google Scholar 

  • van der Pol, B. [1927] Phil Mag. 7, 65.

    Google Scholar 

  • Quin, G., Dong, D., Li, R. & Wen, X. [1989] Phys. Lett. A141, 412.

    Google Scholar 

  • Ruelle, D. [1980], The Mathematical Intelligencer, 126.

    Google Scholar 

  • Steel, W.H. & Kunick, A. [1987] Int. J. Non-Linear Mech. 22, 349.

    Google Scholar 

  • Stocker, J.J. [1950] Nonlinear Vibrations in Mechanical and Electrical Systems (Intersc. Publ. Inc., New York).

    Google Scholar 

  • Szemplińska-Stupnicka, W. [1987] J. Sound. and Vib. 113, 155.

    Google Scholar 

  • Szemplińska-Stupnicka, W. [1990] The Behavior of Nonlinear Vibrating Systems (Kluwer Academic Publisher, Dordrecht) Szemplinska-Stupnicka, W. [1993] ASME DE-56, 421.

    Google Scholar 

  • Szemplińska-Stupnicka, W. & Bajkowski, J. [1986] Int. J. Non-Linear Mechanics 21, 375.

    Google Scholar 

  • Szemplińska-Stupnicka, W. & Rudowski, J. [1994] Physics Letters A 192, 201.

    Google Scholar 

  • Szemplińska-Stupnicka, W. & Niezgodzki, P. [1990] J. Sound. and Vib. 141, 181.

    Google Scholar 

  • Thompson, J.M.T. & Stewart, H.B. [1986] Nonlinear Dynamics and Chaos (J. Wiley and Sons, New York, 1986).

    Google Scholar 

  • Tomita, K. [1982] Phys. Reports 86, 113.

    Google Scholar 

  • Ueda, Y. [1979] J. Statistical Physics 20, 181–196.

    Google Scholar 

  • Ueda, Y. [1980] Annals of the N. Y. Academy of Sciences 357—Nonlinear Dynamics, 422.

    Google Scholar 

  • Ueda, Y. [1991] Chaos, Solitons and Fractals 1, 199.

    Google Scholar 

  • Ueda, Y. & Akamatsu, N. [1981] IEEE Trans. of Circuits and Systems CAS-28, 217.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Fundamental Technological Research Polish Academy of Sciences, PL-00-049, Warsaw, Poland

    Wanda Szemplińska-Stupnicka

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  1. Wanda Szemplińska-Stupnicka
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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Szemplińska-Stupnicka, W. (1995). Strange attractors in nonlinear oscillators. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_64

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  • DOI: https://doi.org/10.1007/3-540-60188-0_64

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

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