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Attractors Under Discretisation (SpringerBriefs in Mathematics) by Xiaoying Han,Peter Kloeden (auth.) is a nonfiction available to read on EtoBox.

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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. Read more... Abstract: 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

Who reads Attractors Under Discretisation (SpringerBriefs in Mathematics)?

Author

Xiaoying Han,Peter Kloeden (auth.)

Publisher

Springer International Publishing Imprint : Springer

Published

2017

Language

EN

ISBN

9783319619347

Category

nonfiction

Subjects

Mathematics, Science, Stem