Discrete Dynamical Systems
| Author | : | |
| Rating | : | 4.60 (978 Votes) |
| Asin | : | 3540367756 |
| Format Type | : | paperback |
| Number of Pages | : | 153 Pages |
| Publish Date | : | 2013-04-15 |
| Language | : | English |
DESCRIPTION:
Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. 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 ?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.. 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. This book provides an i
The first one focuses on the analysis of the evolution of state variables in one dimensional first-order autonomous linear systems. From the reviews:"Discrete dynamical systems are an interesting subject both for mathematicians and for applied scientists. 1223, 2011). e.g. … The presentation is clear and systematic. economy, biology etc." (Ahmed Hegazi, Zentralblatt MATH, Vol. … The presentation is clear and systematic. This book is an introduction to this topic. The text is addressed mainly to students from economics.” (Hans Crauel, Zentralblatt MATH, Vol. The second chapter develops the solutions for multidimensional first-order autonomous linear syste