Oded Galor: Discrete Dynamical Systems | Buch

Cover: 9783540367758 | Discrete Dynamical Systems | Oded Galor | Buch | XIV | Englisch | 2006

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Sprache: Englisch

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Beschreibung

This book provides an introduction to discrete dynamical systems ¿ a framework of analysis that is commonly used in the fields of biology, demography, ecology, economics, engineering, finance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, first-order, linear, autonomous systems. The fundamental insights about the forces that affect the evolution of these elementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non-autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, first-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the trajectory of a state variable, in relation to a steady-state equilibrium of the system, examining the local and global (asymptotic) stability of this steady-state equilibrium. The first part of the chapter characterizes the factors that determine the existence, uniqueness and stability of a steady-state equilibrium in the elementary context of one-dimensional, first-order, linear autonomous systems.

Zusammenfassung

A gradual development of the necessary skills, assuming no prior knowledge in discrete dynamical system.

Abundant in illustrations of the various systems.

A whole chapter is devoted to the solution of typical two-dimensional systems encountered in various fields.

Includes supplementary material: [...]

Inhaltsverzeichnis

One-Dimensional, First-Order Systems.- Multi-Dimensional, First-Order, Linear Systems: Solution.- Multi-Dimensional, First-Order, Linear Systems: Characterization.- Multi-Dimensional, First-Order, Nonlinear Systems.- Higher-Order and Non-Autonomous Systems.- Examples of Two-Dimensional Systems.

Erscheinungsjahr:	2006
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 153 S. 53 s/w Illustr. 153 p. 53 illus.
ISBN-13:	9783540367758
ISBN-10:	3540367756
Sprache:	Englisch
Herstellernummer:	11791140
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Galor, Oded
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Maße:	241 x 160 x 14 mm
Von/Mit:	Oded Galor
Erscheinungsdatum:	12.12.2006
Gewicht:	0,424 kg

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