000			02928nmm a22003615i 4500
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008			100301s2005 gw | s |||| 0|eng d
020			_a9783540288893 _9978-3-540-28889-3
082			_a500 _223
100			_aJost, Jürgen. _920881
245			_aDynamical Systems _h[electronic resource] : _bExamples of Complex Behaviour / _cby Jürgen Jost.
250			_a1st ed. 2005.
260			_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2005.
300			_aVIII, 190 p. 65 illus., 15 illus. in color. _bonline resource.
505			_aStability of dynamical systems, bifurcations, and generic properties -- Discrete invariants of dynamical systems -- Entropy and topological aspects of dynamical systems -- Entropy and metric aspects of dynamical systems -- Entropy and measure theoretic aspects of dynamical systems -- Smooth dynamical systems -- Cellular automata and Boolean networks as examples of discrete dynamical systems.
520			_aOur aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Thetemporalevolutionofadynamicalsystemmaybecontinuousordiscrete, butitturnsoutthatmanyoftheconceptstobeintroducedareusefulineither case.
650			_aPhysics. _920882
650			_aAstronomy. _920883
650			_aMathematics. _920884
650			_aDynamical systems. _920885
650			_aOperations research. _920886
650			_aEconometrics. _920887
650			_aMathematical optimization. _920888
650			_aCalculus of variations. _920889
650			_aPhysics and Astronomy. _920890
650			_aMathematics. _920884
650			_aDynamical Systems. _920891
650			_aOperations Research and Decision Theory. _920892
650			_aQuantitative Economics. _920893
650			_aCalculus of Variations and Optimization. _920894
856			_uhttps://doi.org/10.1007/3-540-28889-9
942			_cEBK
999			_c13691 _d13691