| 000 | 02770nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-13722-8 | ||
| 003 | DE-He213 | ||
| 005 | 20140220084539.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100803s2010 gw | s |||| 0|eng d | ||
| 020 |
_a9783642137228 _9978-3-642-13722-8 |
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| 024 | 7 |
_a10.1007/978-3-642-13722-8 _2doi |
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| 050 | 4 | _aQA313 | |
| 072 | 7 |
_aPBWR _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 082 | 0 | 4 |
_a515.39 _223 |
| 082 | 0 | 4 |
_a515.48 _223 |
| 100 | 1 |
_aPickl, Stefan. _eauthor. |
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| 245 | 1 | 0 |
_aDynamical Systems _h[electronic resource] : _bStability, Controllability and Chaotic Behavior / _cby Stefan Pickl, Werner Krabs. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010. |
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| 300 |
_aX, 238p. 10 illus., 5 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aUncontrolled 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. | |
| 520 | _aAt 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
| 650 | 2 | 4 | _aOperations Research/Decision Theory. |
| 650 | 2 | 4 | _aControl, Robotics, Mechatronics. |
| 700 | 1 |
_aKrabs, Werner. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642137211 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-13722-8 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c112327 _d112327 |
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