Improvement of a Krylov-Bogoliubov method that uses Jacobi elliptic functions
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[1] S. Bravo Yuste,et al. Construction of approximate analytical solutions to a new class of non-linear oscillator equations , 1986 .
[2] S. B. Yuste,et al. Generalized fourier series for the study of limit cycles , 1988 .
[3] P. Painlevé,et al. Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme , 1902 .
[4] Approximate solutions of non-linear non-autonomous second-order differential equations† , 1970 .
[5] A. C. Soudack,et al. An extension to the method of Kryloff and Bogoliuboff , 1969 .
[6] Ronald E. Mickens,et al. An introduction to nonlinear oscillations , 1981 .
[7] On the transient solution of the unforced duffing equation with large damping , 1971 .
[8] G. Anderson. An approximate analysis of non-linear, non-conservative systems using orthogonal polynomials , 1973 .
[9] Further results on “Approximate solutions of non-linear, non-autonomous second-order differential equations”† , 1970 .
[10] I. Murty. A unified Krylov-Bogoliubov method for solving second-order non-linear systems , 1971 .
[11] E. Kamke. Differentialgleichungen : Lösungsmethoden und Lösungen , 1977 .
[12] E. Kamke. Differentialgleichungen. Losungsmethoden und Losungen. I , 1952 .
[13] S. Bravo Yuste,et al. Amplitude decay of damped non-linear oscillators studied with Jacobian elliptic functions , 1987 .
[14] P. Christopher. An approximate solution to a strongly non-linear, second-order, differential equation† , 1973 .
[15] K. Mendelson,et al. Perturbation Theory for Damped Nonlinear Oscillations , 1970 .
[16] S. Bravo Yuste,et al. Extension and improvement to the Krylov–Bogoliubov methods using elliptic functions , 1989 .
[17] P. Christopher,et al. A generalized form of an approximate solution to a strongly non-linear, second-order, differential equation , 1974 .