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Structurally stable second order differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 957)

Keywords

  • Periodic Orbit
  • Lebesgue Measure
  • Order Differential Equation
  • Saddle Connection
  • Canonical Region

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References

  1. Andronov, A., Leontovich, E., et al.-Theory of Bifurcations of Dynamical Systems on a Plane, PIST, Jerusalen, 1971.

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  2. Barreto, A.-Estabilidade Estrutural das Equações Diferenciais da forma x=f(x,x). Tese. IMPA, 1964.

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  3. Peixoto, M. C., Peixoto, M. M.-Structural Stability in the plane with enlarged boundary conditions, Anais Acad. Bras. Cien., 31, 1959.

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  4. Sard, A.-The measure of the critical set of differentiable maps, B.A.M.S., 48, 1942.

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  5. Sotomayor, J.-La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan, C. R. Acad. Sc. Paris, t. 294 (2 nov 1981) Serie I.

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  6. Sotomayor, J.-Curvas definidas por equações diferenciais no Plano, 13th Coloq. Bras. Mat. IMPA, 1981.

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© 1982 Springer-Verlag

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Sotomayor, J. (1982). Structurally stable second order differential equations. In: Guedes de Figueiredo, D., Hönig, C.S. (eds) Differential Equations. Lecture Notes in Mathematics, vol 957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066244

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  • DOI: https://doi.org/10.1007/BFb0066244

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11951-7

  • Online ISBN: 978-3-540-39539-3

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