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On construction of quasiperiodic solutions of quasilinear systems of autonomous differential equations

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Abstract

A method of constructing of an asymptotic expansion of quasiperiodic solutions of systems of nonlinear ordinary differential equations of second order is given. The nonresonance and resonance cases are considered.

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Literature cited

  1. N. N. Bogoljubov, Yu. A. Mitropoliskii, and A. M. Samoilenko, Methods of Accelerated Convergence in Nonlinear Mechanics, Springer-Verlag, Berlin (1976).

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  2. N. N. Moiseev, Asymptotic Methods in Nonlinear Mechanics [in Russian], Nauka, Moscow (1981).

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  3. J. K. Hale, Oscillations in Nonlinear Systems, McGraw-Hill, New York-Toronto (1963).

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Authors and Affiliations

  1. Simferopol' University, USSR

    E. P. Belan

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  1. E. P. Belan
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Translated from Dinamicheskie Sistemy, No. 9, pp. 10–15, 1990.

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Belan, E.P. On construction of quasiperiodic solutions of quasilinear systems of autonomous differential equations. J Math Sci 70, 1956–1959 (1994). https://doi.org/10.1007/BF02110819

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  • DOI: https://doi.org/10.1007/BF02110819

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