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Smoothness with respect to a parameter of an exponentially dichotomous invariant torus of a quasilinear system of differential equations

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Literature cited

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    A. M. Samoilenko, “Smoothness with respect to a parameter of an invariant torus of a quasilinear system of differential equations,” Ukr. Mat. Zh.,38, No. 6, 605–618 (1986).

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    A. M. Samoilenko, Elements of the Mathematical Theory of Multi-Frequency Oscillations [in Russian], Nauka, Moscow (1987).

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    O. V. Shpakovich, “Theory of invariant tori of quasilinear systems of differential equations,” Preprint Akad. Nauk UkrSSR, Inst. Math., Kiev (1989).

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    A. M. Samoilenko, “Preservation of an invariant torus under perturbation,” Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 6, 1219–1241 (1970).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 10, pp. 1425–1428, October, 1989.

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Shpakovich, O.V. Smoothness with respect to a parameter of an exponentially dichotomous invariant torus of a quasilinear system of differential equations. Ukr Math J 41, 1228–1230 (1989). https://doi.org/10.1007/BF01057272

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Keywords

  • Differential Equation
  • Invariant Torus
  • Quasilinear System