Bogoliubov–Mitropolsky asymptotic methods in nonlinear oscillations

E461419

book mathematical monograph

"Bogoliubov–Mitropolsky Asymptotic Methods in Nonlinear Oscillations" is a classic mathematical monograph that develops systematic asymptotic techniques for analyzing and approximating solutions of nonlinear oscillatory systems.

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Bogoliubov–Mitropolsky asymptotic methods in nonlinear oscillations canonical	1

Statements (40)

Predicate	Object
instanceOf	book ⓘ mathematical monograph ⓘ
aim	to analyze nonlinear oscillatory systems using asymptotic techniques ⓘ to provide practical approximation methods for nonlinear problems ⓘ
appliesTo	nonlinear oscillators ⓘ ordinary differential equations ⓘ
approachType	analytical ⓘ
audience	graduate students in mathematics and physics ⓘ researchers in applied mathematics ⓘ
author	Nikolay N. Bogoliubov NERFINISHED ⓘ Yuri A. Mitropolsky NERFINISHED ⓘ
contribution	formalization of asymptotic approaches to nonlinear oscillatory problems ⓘ influence on later work in nonlinear oscillation theory ⓘ systematic framework for constructing asymptotic expansions ⓘ
emphasizes	practical computation of approximate solutions ⓘ rigorous justification of asymptotic procedures ⓘ
field	applied mathematics ⓘ asymptotic analysis ⓘ differential equations ⓘ nonlinear dynamics ⓘ
focusesOn	construction of approximate analytical solutions ⓘ methods for weakly nonlinear oscillatory systems ⓘ systematic development of asymptotic techniques ⓘ
language	English ⓘ
methodIncludes	averaging methods ⓘ multiple‑scale methods ⓘ perturbation expansions ⓘ slowly varying amplitude and phase methods ⓘ
originalLanguage	Russian ⓘ
relatedTo	Bogoliubov–Mitropolsky method NERFINISHED ⓘ theory of nonlinear oscillations ⓘ
status	classic reference in nonlinear oscillation theory ⓘ
topic	approximate solutions of nonlinear differential equations ⓘ asymptotic methods ⓘ nonlinear oscillations ⓘ perturbation theory ⓘ
usedIn	control theory ⓘ engineering ⓘ mechanics ⓘ theoretical physics ⓘ

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Nikolay Bogolyubov → notableWork → Bogoliubov–Mitropolsky asymptotic methods in nonlinear oscillations ⓘ