Items related to Discrete Dynamical Systems
This book provides an introduction to discrete dynamical systems - a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, 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, ?rst-order, linear, autonomous systems. The f- damental insights about the forces that a?ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory 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 ?rst 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, ?rst-order, linear autonomous systems.
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"Discrete dynamical systems are an interesting subject both for mathematicians and for applied scientists. This book is an introduction to this topic. It consists of 6 chapters. The first one focuses on the analysis of the evolution of state variables in one dimensional first-order autonomous linear systems. The second chapter develops the solutions for multidimensional first-order autonomous linear systems. ... The presentation is clear and systematic. ... it is for advanced undergraduate and graduate students in mathematics and applied scientists. e.g. economy, biology etc." (Ahmed Hegazi, Zentralblatt MATH, Vol. 1107 (9), 2007)
"The book under review gives an elementary introduction to the theory of discrete dynamical systems. ... The presentation is clear and systematic. ... ‘the book is designed for advanced undergraduate and graduate students in the fields of demography, ecology, economics, engineering, evolutionary biology, finance, mathematics, and physics’ with some basic knowledge in linear algebra and differential calculus." (Christian Pötzsche, Mathematical Reviews, Issue 2008 c)
“The book aims at giving an elementary introduction into some basics of discrete dynamical systems. ... Very explicit explanations are provided ... . The text is addressed mainly to students from economics.” (Hans Crauel, Zentralblatt MATH, Vol. 1223, 2011)
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- PublisherSpringer
- Publication date2010
- ISBN 10 3642071856
- ISBN 13 9783642071850
- BindingPaperback
- Number of pages167
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an introduction to discrete dynamical systems - a framework of analysis that is commonly used in the elds of biology, demography, ecology, economics, engineering, nance, 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, rst-order, linear, autonomous systems. The f- damental insights about the forces that a ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory 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 rst 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, rst-order, linear autonomous systems. 153 pp. Englisch. Seller Inventory # 9783642071850
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an introduction to discrete dynamical systems - a framework of analysis that is commonly used in the elds of biology, demography, ecology, economics, engineering, nance, 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, rst-order, linear, autonomous systems. The f- damental insights about the forces that a ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory 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 rst 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, rst-order, linear autonomous systems. Seller Inventory # 9783642071850
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 f. Seller Inventory # 5046264
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