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Attractors of systems close to autonomous ones having a stable limit cycle

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References

  1. B. Aulbach,J. Diff. Eqs.,39 (1981), 345–377.

    Google Scholar 

  2. M. Farkas,Nonlinear Analysis,5 (1981), 845–851.

    Google Scholar 

  3. M. Farkas,Ann. Mat. Pura Appl.,128 (1981), 123–132.

    Google Scholar 

  4. M. Farkas,Acta Sci. Math. (Szeged),44 (1982), 329–334.

    Google Scholar 

  5. J. K. Hale,Ordinary Differential Equations, 2nd edition, Robert E. Krieger Publishing Company (Malabar, Florida, 1980).

    Google Scholar 

  6. J. K. Hale and A. D. Stokes,Arch. Rational Mech. Anal.,6 (1960), 133–170.

    Google Scholar 

  7. H. W. Knobloch and F. Kappel,Gewöhnliche Differentialgleichungen, Teubner (Stuttgart, 1974).

    Google Scholar 

  8. J. P. La Salle,Nonlinear Analysis,1 (1976), 83–90.

    Google Scholar 

  9. N. V. Minh and T. V. Nhung, The attractor of van der Pol equation under bounded perturbation (to appear).

  10. V. A. Pliss,Non-local problems in the theory of oscillations (in Russian) Nauka (Moscow, 1964). English edition by Academic Press (New York, 1966).

    Google Scholar 

  11. T. Yoshizawa,Stability theory by Lyapunov's second method, Math. Soc. Japan, (Tokyo, 1966).

    Google Scholar 

  12. T. Yoshizawa and J. Kato, inDifferential Equations and Dynamical Systems, Academic Press (New York-London, 1967).

    Google Scholar 

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Minh, N.V., Nhung, T.V. Attractors of systems close to autonomous ones having a stable limit cycle. Acta Math Hung 58, 17–23 (1991). https://doi.org/10.1007/BF01903542

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