Download Multifrequency Oscillations of Nonlinear Systems by Anatolii M. Samoilenko,R. Petryshyn PDF

By Anatolii M. Samoilenko,R. Petryshyn

In distinction to different books dedicated to the averaging procedure and the tactic of fundamental manifolds, within the current ebook we examine oscillation platforms with many ranging frequencies. within the technique of evolution, platforms of this sort can cross from one resonance nation into one other. This truth significantly complicates the research of nonlinear oscillations.


In the current monograph, a brand new method according to particular uniform estimates of oscillation integrals is proposed. at the foundation of this process, quite a few thoroughly new effects at the justification of the averaging process and its purposes are acquired and the vital manifolds of resonance oscillation platforms are studied.


This booklet is meant for a large circle of analysis staff, specialists, and engineers attracted to oscillation approaches, in addition to for college students and post-graduate scholars really good in traditional differential equations.

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