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Topologically stable subharmonics of large periods and amplitudes

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References

  1. Deimling, K., Nonlinear Functional Analysis, Berlin: Springer, 1985.

    MATH  Google Scholar 

  2. Krasnosel’skii, M.A. and Zabreiko, P.P., Geometric Methods of Nonlinear Analysis, Berlin: Springer-Verlag, 1984.

    Google Scholar 

  3. Krasnosel’skii, M.A., Perov, A.I., Povolotskii, A.I., and Zabreiko, P.P., Plane Vector Fields, New York: Academic, 1966.

    Google Scholar 

  4. Katok, A.B. and Hasselblat, B., Introduction to the Modern Theory of Dynamical Systems, Cambridge: Cambridge University Press, 1994. Translated under the title Vvedenie v sovremennuyu teoriyu dinamicheskikh sistem, Moscow: Faktorial, 1999.

    Google Scholar 

  5. Lichtenberg, A.J. and Lieberman, M.A., Regular and Stochastic Dynamics, New York: Springer, 1983. Translated under the title Regulyarnaya i stokhasticheskaya dinamika, Moscow: Mir, 1984.

    Google Scholar 

  6. Liu, B. and Wang, Y., Science in China. Ser. A, 1999, vol. 42, no. 10, pp. 1047–1058.

    Article  Google Scholar 

  7. Ortega, R., J. London Math. Soc., 1996, vol. 53, pp. 325–342.

    MATH  MathSciNet  Google Scholar 

  8. Fonda, A., Ramos, M., and Willem, M., J. of the Julius Schauder Center, 1993, vol. 1, pp. 49–66.

    MATH  MathSciNet  Google Scholar 

  9. Krasnosel’skii, A.M. and Pokrovskii, A.V., in The First 60 Years of Nonlinear Analysis of Jean Mawhin, Delgado, M., López-Gómez, J., Ortega, R., and Suáréz, A., Eds., World Scientific Publishing, 2004, pp. 103–116.

  10. Krasnosel’skii, A.M. and Pokrovskii, A.V., Doklady Mathematics, 2003, vol. 68, no. 1, pp. 84–88.

    MATH  Google Scholar 

  11. Cassels, J.W.S., An Introduction to Diophantine Approximation, New York: Cambridge University Press, 1957. Translated under the title Vvedenie v teoriyu diofantovykh priblizhenii, Moscow: Izd. Inostr. Lit., 1961.

    MATH  Google Scholar 

  12. Khinchin, A.Ya., Continued Fractions, University of Chicago Press, 1961.

  13. Zygmund, A., Trigonometric Series, Cambridge: At the University Press, 1959.

    MATH  Google Scholar 

  14. Krasnosel’skii, A.M. and Rachinskii, D.I., Doklady Mathematics, 2004, vol. 69, no. 1, pp. 79–83.

    MATH  Google Scholar 

  15. Diamond, P., Kloeden, P.E., Krasnosel’skii, A.M., and Pokrovskii, A.V., J. of Australian Mathematical Society. Ser. A, 1997, vol. 63, pp. 263–280.

    MATH  MathSciNet  Google Scholar 

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Original Russian Text © A.M. Krasnosel’skii, A.V. Pokrovskii, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 2, pp. 212–238.

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Krasnosel’skii, A.M., Pokrovskii, A.V. Topologically stable subharmonics of large periods and amplitudes. Diff Equat 43, 218–245 (2007). https://doi.org/10.1134/S0012266107020097

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  • DOI: https://doi.org/10.1134/S0012266107020097

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