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Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Dynamical Systems ([Ebook]) : Stability, Controllability and Chaotic Behavior / by Stefan Pickl, Werner Krabs.
Author	Pickl, Stefan. , 1967-
Added Personal Name	Krabs, Werner
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2010.
Physical Details	X, 238 pages. 10 illus., 5 illus. in color. : online resource.
ISBN	9783642137228
Summary Note	At the end of the nineteenth century Lyapunov and PoincarÃ© 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.:
Contents note	Uncontrolled Systems -- Controlled Systems -- Chaotic Behavior of Autonomous Time-Discrete Systems -- A Dynamical Method for the Calculation of Nash-Equilibria in n-Person Games -- Optimal Control in Chemotherapy of Cancer.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-13722-8
Links to Related Works	Subject References: Control, Robotics, Mechatronics . Differentiable dynamical systems . Dynamical systems and ergodic theory . Mathematics . Operations Research/Decision Theory . Authors: author . Krabs, Werner . Pickl, Stefan. 1967- . Corporate Authors: SpringerLink (Online service) . Classification: 515.39 . 515.48 . 515.39 (DDC 23) .

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Dynamical Systems: Stability, Controllability and Chaotic Behavior

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