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Contrast Structures, Limit Dynamics, and the Painlevé Paradox

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REFERENCES

  1. Vasil'eva, A.B. and Butuzov, V.F., Asimptoticheskie razlozheniya reshenii singulyarno vozmushchennykh uravnenii (Asymptotic Expansions of Solutions of Singularly Perturbed Equations), Moscow, 1973.

  2. Vasil'eva, A.B. and Butuzov, V.F., Asimptoticheskie metody v teorii singulyarnykh vozmushchenii (Asymptotic Methods in the Singular Perturbation Theory), Moscow, 1990.

  3. Butuzov, V.F. and Vasil'eva, A.B., Mat. Zametki, 1987, vol. 42, no. 6, pp. 831–841.

    Google Scholar 

  4. Vasil'eva, A.B., Zh. Vychislit. Mat. Mat. Fiz., 1994, vol. 34, nos. 8–9, pp. 1168–1178.

    Google Scholar 

  5. Vasil'eva, A.B., Zh. Vychislit. Mat. Mat. Fiz., 1994, vol. 34, no. 10, pp. 1401–1411.

    Google Scholar 

  6. Vasil'eva, A.B., Nefedov, N.N., and Radchenko, I.V., Zh. Vychislit. Mat. Mat. Fiz., 1996, vol. 36, no. 9, pp. 105–111.

    Google Scholar 

  7. Vasil'eva, A.B., Zh. Vychislit. Mat. Mat. Fiz., 1998, vol. 38, no. 5, pp. 777–787.

    Google Scholar 

  8. Chang, K.W. and Howes, F.A., Nonlinear Singular Perturbation Phenomena: Theory and Applications, New York: Springer, 1984. Translated under the title Nelineinye singulyarno vozmushchennye kraevye zadachi, Moscow, 1988.

    Google Scholar 

  9. Neimark, Yu.I. and Smirnova, V.N., Differents. Uravn., 2000, vol. 36, no. 11, pp. 1493–1500.

    Google Scholar 

  10. Neimark, Yu.I. and Smirnova, V.N., Vestn. Nizhegorod. Gos. Univ. Matematicheskoe Modelirovanie i Optimal'noe Upravlenie, 1999, no. 2, pp. 53–66.

    Google Scholar 

  11. Painlevé, P., Lektsii o trenii (Lectures on Friction), Moscow, 1954.

  12. Neimark, Yu.I. and Kinyapin, S.D., Izv. Vyssh. Uchebn. Zaved. Radiofizika, 1960, vol. 3, no. 4, pp. 694–706.

    Google Scholar 

  13. Neimark, Yu.I. and Smirnova, V.N., Tez. Dokl. V Mezhdunar. konf. po nelineinym kolebaniyam mekhanicheskikh sistem (Abstr. V Int. Conf. on Nonlin. Oscillations of Mechanical Systems), Nizhni Novgorod, 1999, pp. 166–168.

  14. Butenin, N.V., Prikl. Mat. Mekh., 1948, vol. 12, no. 1, pp. 3–12.

    Google Scholar 

  15. Neimark, Yu.I. and Smirnova, V.N., Vestn. Nizhegorod. Gos. Univ. Matematicheskoe Modelirovanie i Optimal'noe Upravlenie, 2001, no. 2, pp. 17–39.

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Neimark, Y.I., Smirnova, V.N. Contrast Structures, Limit Dynamics, and the Painlevé Paradox. Differential Equations 37, 1580–1588 (2001). https://doi.org/10.1023/A:1017916832078

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