Dynamical Systems

Name: Dynamical Systems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642137211
Price: 472.4 PLN
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Stability, Controllability and Chaotic Behavior

Autor: Stefan W. Pickl, Werner Krabs

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theor...

Informacje o książce

Autor

Stefan W. Pickl, Werner Krabs

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2010

strony

238

EAN

9783642137211

ISBN

3642137210

Enbook ID

01656049

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

534

Wymiary

153 x 236 x 23

Pełny opis

At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.

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Dynamical Systems

Stability, Controllability and Chaotic Behavior

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