Attractors Under Discretisation
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Sprache:Englisch
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
24.08.2017
Abbildungen
XI, 122 p. 23 illus., 14 illus. in color.
Verlag
SpringerSeitenzahl
122
Maße (B/H)
15.5/23.5 cm
Gewicht
219 g
Auflage
1st ed. 2017
Sprache
Englisch
ISBN
978-3-319-61933-0
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.
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