Nonlinear Perturbations
- 1 June 1969
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (6) , 998-1003
- https://doi.org/10.1063/1.1664946
Abstract
The perturbation theory of Bogoliubov and Mitropolsky for systems having a single rapid phase is generalized to systems having several rapid phases. It is shown that one can avoid the classic problem of small divisors to all orders in the perturbation theory. The method has the advantage of providing a single approach to many problems conventionally treated by a variety of specialized techniquesKeywords
This publication has 4 references indexed in Scilit:
- Motion of a Charged Particle in a Spatially Periodic Magnetic FieldJournal of Mathematical Physics, 1969
- A General Perturbation Method for Quantum Mechanical ProblemsProgress of Theoretical Physics Supplement, 1966
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly PeriodicJournal of Mathematical Physics, 1962
- General Perturbational Solution of the Harmonically Forced van der Pol EquationJournal of Mathematical Physics, 1961