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Lectures: P.R. Halmos: Entropy in ergodic theory.- E. Hopf: Some topics of ergodic theory.- J.L. Massera: Les équations différentielles linéaires dans les espaces de Banach.- Seminars: L. Amerio: Funzioni quasi-periodiche astratte e problemi di propagazione.- L. Markus: Sistemi dinamici con stabilità strutturale.- G. Prodi: Teoremi erodici per le equazioni di idrodinamica.- A.N. Feldzamen: The Alexandra Ionescu-Tulcea proof of McMillan´s theorem.
Almost periodic functions. --- Chaotic behavior in systems. --- Combinatorial analysis. --- Differentiable dynamical systems. --- Ergodic theory. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Ergodic theory --- System analysis --- Mathematics. --- Dynamics. --- Dynamical Systems and Ergodic Theory. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics
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Questo volume fornisce una introduzione all’analisi dei sistemi dinamici discreti. La materia è presentata mediante un approccio unitario tra il punto di vista modellistico e quello di varie discipline che sviluppano metodi di analisi e tecniche risolutive: Analisi Matematica, Algebra Lineare, Analisi Numerica, Teoria dei Sistemi, Calcolo delle Probabilità. All’esame di un’ampia serie di esempi, segue la presentazione degli strumenti per lo studio di sistemi dinamici scalari lineari e non lineari, con particolare attenzione all’analisi della stabilità. Si studiano in dettaglio le equazioni alle differenze lineari e si fornisce una introduzione elementare alle trasformate Z e DFT. Un capitolo è dedicato allo studio di biforcazioni e dinamiche caotiche. I sistemi dinamici vettoriali ad un passo e le applicazioni alle catene di Markov sono oggetto di tre capitoli. L’esposizione è autocontenuta: le appendici tematiche presentano prerequisiti, algoritmi e suggerimenti per simulazioni al computer. Ai numerosi esempi proposti si affianca un gran numero di esercizi, per la maggior parte dei quali si fornisce una soluzione dettagliata. Il volume è indirizzato principalmente agli studenti di Ingegneria, Scienze, Biologia ed Economia. Questa terza edizione comprende l’aggiornamento di vari argomenti, l’aggiunta di nuovi esercizi e l’ampliamento della trattazione relativa alle matrici positive ed alle loro proprietà utili nell’analisi di sistemi, reti e motori di ricerca.
Computer science --- Mathematics. --- Matrix theory. --- Functional equations. --- Differentiable dynamical systems. --- Difference and Functional Equations. --- Dynamical Systems and Ergodic Theory. --- Linear and Multilinear Algebras, Matrix Theory. --- Applications of Mathematics. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Equations, Functional --- Math --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Algebra. --- Difference equations. --- Dynamics. --- Ergodic theory. --- Applied mathematics. --- Engineering mathematics. --- Discrete mathematics. --- Discrete Mathematics. --- Functional analysis --- Science --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Mathematical analysis --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Engineering --- Engineering analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference
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