Attractors Under Autonomous and Non-autonomous Perturbations

Released on by Matheus C. Bortolan
preview-18

  • Attractors Under Autonomous and Non-autonomous Perturbations Book Detail

  • Author : Matheus C. Bortolan
  • Release Date : 2020-05-29
  • Publisher : American Mathematical Soc.
  • Genre : Education
  • Pages : 246
  • ISBN 13 : 1470453088
  • File Size : 50,50 MB
DOWNLOAD BOOK

Attractors Under Autonomous and Non-autonomous Perturbations by Matheus C. Bortolan PDF Summary

Book Description: This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the attractor. This is done in both the autonomous (time independent) and non-autonomous (time dependent) framework in four distinct levels of approximation: the upper semicontinuity, lower semicontinuity, topological structural stability and geometrical structural stability. This book is aimed at graduate students and researchers interested in dissipative dynamical systems and stability theory, and requires only a basic background in metric spaces, functional analysis and, for the applications, techniques of ordinary and partial differential equations.

Disclaimer: www.yourbookbest.com does not own Attractors Under Autonomous and Non-autonomous Perturbations 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.

Measure Theory and Integration

Measure Theory and Integration

File Size : 59,59 MB
Total View : 5055 Views
DOWNLOAD

This text approaches integration via measure theory as opposed to measure theory via integration, an approach which makes it easier to grasp the subject. Apart