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Bifurcation of a stable invariant torus from an equilibrium

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Literature cited

  1. V. A. Pliss, Integral Manifolds of Periodic Systems of Differential Equations [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. N. V. Nikolenko, “Invariant asymptotically stable tori of the perturbed Korteweg—de Vries equation,” Usp. Mat. Nauk,35, No. 5, 121–190 (1980).

    Google Scholar 

  3. Yu. N. Bibikov, “Hopf bifurcation for quasiperiodic solutions,” Differents. Uravn.,16, No. 9, 1539–1544 (1980).

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  4. J. K. Hale, “Integral manifolds of perturbed differential equations,” Ann. Math.,73, 496–531 (1961).

    Google Scholar 

  5. Yu. N. Bibikov, Local Theory of Nonlinear Analytic Ordinary Differential Equations, Lect. Notes in Math., Vol. 702, Springer-Verlag, Berlin (1979).

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  6. Yu. M. Svirezhev and D. O. Logofet, Stability of Biological Communities [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  7. Dzh. Myrzaliev, “Existence of periodic invariant surfaces of a system of differential equations,” Izv. Akad. Nauk KazSSR, Ser. Fiz.-Mat., No. 3, 84–86 (1973).

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Authors and Affiliations

  1. Leningrad State University, USSR

    Yu. N. Bibikov

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  1. Yu. N. Bibikov
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Translated from Matematicheskie Zametki, Vol. 48, No. 1, pp. 15–19, July, 1990.

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Bibikov, Y.N. Bifurcation of a stable invariant torus from an equilibrium. Mathematical Notes of the Academy of Sciences of the USSR 48, 632–635 (1990). https://doi.org/10.1007/BF01164258

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  • DOI: https://doi.org/10.1007/BF01164258

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