Oscillations and Resonances

preview-18
  • Oscillations and Resonances Book Detail

  • Author : Sergey G. Glebov
  • Release Date : 2017-04-10
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Genre : Mathematics
  • Pages : 357
  • ISBN 13 : 3110335689
  • File Size : 78,78 MB

Oscillations and Resonances by Sergey G. Glebov PDF Summary

Book Description: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators

Disclaimer: www.yourbookbest.com does not own Oscillations and Resonances books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Oscillations and Resonances

Oscillations and Resonances

File Size : 3,3 MB
Total View : 9619 Views
DOWNLOAD

This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one t

Waves and Boundary Problems

Waves and Boundary Problems

File Size : 67,67 MB
Total View : 3748 Views
DOWNLOAD

This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equ

Ordinary Differential Equations

Ordinary Differential Equations

File Size : 60,60 MB
Total View : 2021 Views
DOWNLOAD

This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with a