Name: Attractors Under Discretisation (Springerbriefs in Mathematics) (en Inglés)
SKU: 50875590
Price: 54.12 USD
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Author: Xiaoying Han; Peter Kloeden

portada Attractors Under Discretisation (Springerbriefs in Mathematics) (en Inglés)

Attractors Under Discretisation (Springerbriefs in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Xiaoying Han; Peter Kloeden

Año

2017

Idioma

Inglés

N° páginas

136

Encuadernación

Tapa Blanda

ISBN13

9783319619330

N° edición

Categorías

Cálculo diferencial y ecuaciones

Attractors Under Discretisation (Springerbriefs in Mathematics) (en Inglés)

Xiaoying Han; Peter Kloeden (Autor) · Springer · Tapa Blanda

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Reseña del libro "Attractors Under Discretisation (Springerbriefs in Mathematics) (en Inglés)"

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.