On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase

Author:

Neishtadt Anatoly,Su Tan

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference9 articles.

1. Bogolyubov, N.N. and Mitropol’skij, Yu.A., Asymptotic Methods in the Theory of Non-Linear Oscillations, Moscow: Gostekhizdat, 1955 [New York: Gordon & Breach Sci. Publ., 1961].

2. Bosley, D. L., An Improved Matching Procedure for Transient Resonance Layers in Weakly Nonlinear Oscillatory Systems, SIAM J. Appl. Math., 1996, vol. 56, no. 2, pp. 420–445.

3. Chartier, P., Murua, A. and Sanz-Serna, J.M., Higher-Order Averaging, Formal Series and Numerical Integration: 1. B-series, Found. Comput. Math., 2010, vol. 10, no. 6, pp. 695–727.

4. Chirikov, B.V., The Passage of a Nonlinear Oscillatory System through Resonance, Dokl. Akad. Nauk SSSR, 1959, vol. 125, no. 5, pp. 1015–1018 [Sov. Phys. Dokl., 1959, vol. 4, pp. 390–394].

5. Condon, M., Deaño, A., and Iserles, A., On Systems of Differential Equations with Extrinsic Oscillation, Discrete Contin. Dyn. Syst., 2010, vol. 28, no. 4, pp. 1345–1367.

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1. Other Topics;Applied Mathematical Sciences;2014-11-11

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