Del 1706 i serien Lecture Notes in Mathematics

Shadowing in Dynamical Systems

Häftad, Engelska, 1999

549 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.

Produktinformation

Utgivningsdatum1999-09-17
Mått155 x 233 x 17 mm
Vikt448 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor276
Upplaga1999
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540662990

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Shadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows.- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms.- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems.- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs.- References.- Index.

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Del 1706 i serien Lecture Notes in Mathematics

Shadowing in Dynamical Systems

Häftad, Engelska, 1999

AvSergei Yu. Pilyugin

549 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Produktinformation

Utgivningsdatum1999-09-17
Mått155 x 233 x 17 mm
Vikt448 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor276
Upplaga1999
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540662990

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Shadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows.- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms.- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems.- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs.- References.- Index.