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Record Nr. |
UNINA9910299990303321 |
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Autore |
Salinelli Ernesto |
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Titolo |
Discrete Dynamical Models / / by Ernesto Salinelli, Franco Tomarelli |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (398 p.) |
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Collana |
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La Matematica per il 3+2, , 2038-5722 ; ; 76 |
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Disciplina |
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Soggetti |
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Dynamics |
Ergodic theory |
Difference equations |
Functional equations |
Matrix theory |
Algebra |
Applied mathematics |
Engineering mathematics |
Discrete mathematics |
Dynamical Systems and Ergodic Theory |
Difference and Functional Equations |
Linear and Multilinear Algebras, Matrix Theory |
Applications of Mathematics |
Discrete Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Recursive phenomena and difference equations -- 2 Linear difference equations -- 3 Discrete dynamical systems: one-step scalar equations -- 4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos -- 5 Discrete dynamical systems: vector equations -- 6 Markov chains -- 7 Matrix -- 8 Solutions. |
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Sommario/riassunto |
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This 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, |
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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. |
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