000			a
999			_c34908 _d34908
008			251013b xxu||||| |||| 00| 0 eng d
020			_a9783319022901
082			_a515.4 _bSAL
100			_aSalinelli, Ernesto
245			_aDiscrete dynamical models
260			_bSpringer, _c2014 _aCham :
300			_axvi, 386 p. ; _bill., _c24 cm.
365			_b49.99 _c€ _d104.36
504			_aIncludes bibliographical references and index.
520			_aThis book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several discipline as Mathematical Analysis, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems are presented, paying particular attention to the stability analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to the study of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. The book is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Economics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations. The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty; in the last chapter the detailed solution is given for most of them.
650			_aDynamics Mathematical models
650			_aScience and Nature
650			_aIntegral calculus and equations
650			_aDiscrete Mathematics
700			_aTomarelli, Franco
942			_2ddc _cBK