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Attractors Under Discretisation Book PDF Summary

This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.

Detail Book of Attractors Under Discretisation PDF

Attractors Under Discretisation
  • Author : Xiaoying Han
  • Release : 11 August 2017
  • Publisher : Springer
  • ISBN : 9783319619347
  • Genre : Mathematics
  • Total Page : 121 pages
  • Language : English
  • PDF File Size : 10,9 Mb

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Attractors Under Discretisation

Attractors Under Discretisation Author : Xiaoying Han,Peter Kloeden
Publisher : Springer
File Size : 54,6 Mb
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This work focuses on the preservation of attractors and saddle points of ordinary differential equat...

Nonautonomous Dynamical Systems

Nonautonomous Dynamical Systems Author : Peter E. Kloeden,Martin Rasmussen
Publisher : American Mathematical Soc.
File Size : 28,5 Mb
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The theory of nonautonomous dynamical systems in both of its formulations as processes and skew prod...