Krylov-Bogolyubov averaging of asymptotically autonomous differential equations
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- by Anatoliy Samoilenko, Manuel Pinto and Sergei Trofimchuk PDF
- Proc. Amer. Math. Soc. 133 (2005), 145-154 Request permission
Abstract:
We apply the Krylov and Bogolyubov asymptotic integration procedure to asymptotically autonomous systems. First, we consider linear systems with quasi-periodic coefficient matrix multiplied by a scalar factor vanishing at infinity. Next, we study the asymptotically autonomous Van-der-Pol oscillator.References
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Additional Information
- Anatoliy Samoilenko
- Affiliation: Institute of Mathematics, National Academy of Sciences, Tereshchenkyvs’ka str., 3, Kiev, 252601, Ukraine
- Email: sam@imath.kiev.ua
- Manuel Pinto
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
- Email: pintoj@uchile.cl
- Sergei Trofimchuk
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
- Address at time of publication: Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile
- MR Author ID: 211398
- Email: trofimch@uchile.cl
- Received by editor(s): May 7, 2002
- Received by editor(s) in revised form: September 9, 2003
- Published electronically: June 23, 2004
- Additional Notes: The first author was supported in part by FONDECYT (Chile), project 7960723
The second and third authors were supported in part by FONDECYT (Chile), project 8990013 - Communicated by: Carmen C. Chicone
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 145-154
- MSC (2000): Primary 34E05
- DOI: https://doi.org/10.1090/S0002-9939-04-07520-3
- MathSciNet review: 2085163