Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems
1969; Society for Industrial and Applied Mathematics; Volume: 17; Issue: 4 Linguagem: Inglês
10.1137/0117065
ISSN1095-712X
Autores Tópico(s)Numerical methods for differential equations
ResumoPrevious article Next article Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic SystemsLawrence M. PerkoLawrence M. Perkohttps://doi.org/10.1137/0117065PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] N. N. Bogoliubov and , Y. A. Mitropolsky, Asymptotic methods in the theory of non-linear oscillations, Translated from the second revised Russian edition. International Monographs on Advanced Mathematics and Physics, Hindustan Publishing Corp., Delhi, Gordon and Breach Science Publishers, New York, 1961x+537 MR0141845 0151.12201 Google Scholar[2] H. Bohr, Almost Periodic Functions, Chelsea, New York, 1951 Google Scholar[3] E. A. Coddington and , N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1957 Google Scholar[4] B. A. Fuks, Theory of analytic functions of several complex variables, Translated by A. A. Brown, J. M. Danskin and E. 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Apostol, Mathematical analysis: a modern approach to advanced calculus, Addison-Wesley Publishing Company, Inc., Reading, Mass., 1957xii+553 MR0087718 0077.05501 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Pseudospectrum and binary black hole merger transients22 September 2022 | Classical and Quantum Gravity, Vol. 39, No. 21 Cross Ref Derivative-free high-order uniformly accurate schemes for highly oscillatory systems3 May 2021 | IMA Journal of Numerical Analysis, Vol. 21 Cross Ref On the Existence and Uniqueness of the ODE Solution and Its Approximation Using the Means Averaging Approach for the Class of Power Electronic Converters19 May 2021 | Mathematics, Vol. 9, No. 10 Cross Ref Benchmarking of analytical estimates to study systematic errors for the charged particle electric dipole moment measurements24 March 2021 | Physical Review Accelerators and Beams, Vol. 24, No. 3 Cross Ref Periodic forcing on degenerate Hopf bifurcationDiscrete & Continuous Dynamical Systems - B, Vol. 26, No. 5 Cross Ref Higher order stroboscopic averaged functions: a general relationship with Melnikov functions1 January 2021 | Electronic Journal of Qualitative Theory of Differential Equations, No. 77 Cross Ref Simply improved averaging for coupled oscillators and weakly nonlinear wavesCommunications in Nonlinear Science and Numerical Simulation, Vol. 71 Cross Ref A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations22 April 2019 | Foundations of Computational Mathematics, Vol. 120 Cross Ref Highly Oscillatory Problems with Time-Dependent Vanishing FrequencyPh. 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