Modelli Dinamici Discreti = Discrete Dynamic Models
Publication year: 2008
: 978-88-470-1076-5
Discrete mathematical modeling is one of the driving factors in modern mathematics research, and has played a role of synthesis between different disciplines, becoming a tool for qualitative and quantitative analysis in applied sciences. This volume provides an introduction to the analysis of discrete dynamic systems, following a modeling approach. An examination of a wide range of examples, models, and motivations drawn from Biology, Demography, Engineering and Economics, is followed by the presentation of the tools for the study of linear and non-linear scalar dynamical systems, with particular attention to stability analysis. The linear difference equations are studied in detail and an elementary introduction to the Z and DFT transforms is provided. One chapter is devoted to the study of bifurcations and chaotic dynamics. One-step vector dynamical systems and the applications of Markov chains are the subject of three chapters.
: Mathematics and Statistics, Algebra, Diskrete Fouriertransformation, Markov, Modelli matematici, biforcazione e caos, differential equation, equazioni alle differenze, sistemi dinamici discreti, combinatorics, Mathematical models, bifurcation and chaos, difference equations, discrete dynamical systems, Combinatorics, Analysis, Complex Systems Mathematical and Computational, Engineering, Computational Intelligence, Statistical Physics and Dynamical Systems
