Download PDF by Sergey G. Glebov,Oleg M. Kiselev,Nikolai N. Tarkhanov: Oscillations and Resonances: Volume I: Oscillations and

By Sergey G. Glebov,Oleg M. Kiselev,Nikolai N. Tarkhanov

This two-volume monograph offers new tools of development of worldwide asymptotics of ideas to nonlinear equations with small parameter. those enable one to check the asymptotics of assorted houses with one another in transition areas and to get unified formulation for the relationship of attribute parameters of approximate ideas.

This process underlies glossy asymptotic equipment and offers a deep perception into an important nonlinear phenomena within the ordinary sciences. those contain the outset of chaos in dynamical structures, incipient solitary and surprise waves, oscillatory strategies in crystals, engineering functions, and quantum platforms. except being of autonomous curiosity, such approximate suggestions function a foolproof foundation for trying out numerical algorithms.

This first quantity provides asymptotic equipment in oscillation and resonance difficulties defined by means of traditional differential equations, wherein the second one quantity might be dedicated to functions of asymptotic equipment in waves and boundary price difficulties.

Contents

  • Asymptotic expansions and sequence
  • Asymptotic tools for fixing nonlinear equations
  • Nonlinear oscillator in power good
  • Autoresonances in nonlinear platforms
  • Asymptotics for lack of balance
  • Systems of coupled oscillators

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Oscillations and Resonances: Volume I: Oscillations and resonances: Volume 1 (De Gruyter Series in Nonlinear Analysis and Applications) by Sergey G. Glebov,Oleg M. Kiselev,Nikolai N. Tarkhanov


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