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3 edition of Analysis and modelling of discrete dynamical systems found in the catalog.

Analysis and modelling of discrete dynamical systems

Analysis and modelling of discrete dynamical systems

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Published by Gordon and Breach Science Publishers in Amsterdam, The Netherlands .
Written in English

    Subjects:
  • Differentiable dynamical systems -- Mathematical models.

  • Edition Notes

    Includes bibliographical references and index.

    Statementedited by Daniel Benest and Claude Froeschlé.
    SeriesAdvances in discrete mathematics and applications -- v. 1
    ContributionsBenest, Daniel., Froeschlé, Claude.
    Classifications
    LC ClassificationsQA614.8 .A48 1998
    The Physical Object
    Paginationx, 319 p. :
    Number of Pages319
    ID Numbers
    Open LibraryOL21742593M
    ISBN 109056996258

      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 : Oded Galor. Also, for many high-order hybrid dynamical systems, model approximation/reduction has been a hot issue to be solved in recent years. “ model reduction for discrete-time Markovian jump systems with deficient mode information” by Y. Wei et al. solves the problem of model reduction for a class of discrete-time Markovian jump linear systems Author: Peng Shi, Hamid Reza Karimi, Rongni Yang, Xiaojie Su.

    Discrete-event simulation consists of a collection of techniques that when applied to a discrete-event dynamical system, generates sequences called sample paths that characterize its behavior. The collection includes modelling concepts for abstracting the essential features of a system, usingBrand: Springer-Verlag New York. One dimensional discrete dynamical systems. (also use of Curve() and plot() utilities) 8 Newton's method, analyzed as a discrete dynamical system. Numerical evaluation of definite integrals (Trapezoidal rule;Romberg extrap.) 11 Arrays in Python: The Numeric module. 12 What is an O.D.E. First order ODE. Examples.

    Introduction to dynamical system modelling Introduction to dynamical system modelling Shan He School for Computational Science University of Birmingham Introduction to dynamical system modelling Dynamical systems Biological systems I Outputs depend on the present and past values of the inputs. Dynamical energy analysis (DEA) is a method for numerically modelling structure borne sound and vibration in complex structures. It is applicable in the mid-to-high frequency range and is in this regime computational more efficient than traditional deterministic approaches (such as finite element and boundary element methods). In comparison to conventional statistical approaches such as.


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Analysis and modelling of discrete dynamical systems Download PDF EPUB FB2

This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic /5(1).

Part I: Modelling Mappings: An Aim and a Tool for the Study of Dynamical Systems 2. Spectra of Stretching Numbers and Helicity Angles 3. Diffusion and Transient Spectra in. final chapter to study dynamical systems of several linear equations).

It also has new sections on elementary fractal geometry and on using spreadsheets to explore dynamical systems empirically. The latter section is especially well-written and could serve as an effective and entertaining tutorialCited by: The book is very useful to anybody dealing with discrete dynamical systems - be it within the fields of Economics, Business, Engineering, Biology, Political Science, Mathematics and many others.

The book goes deep in its analysis of the Analysis and modelling of discrete dynamical systems book features of such by:   This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts.

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The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on. Chapter 6 Modeling with Discrete Dynamical Systems LINEAR FIRST ORDER DIFFERENCE EQUATIONS Analytical Solutions Possibly the simplest nontrivial difference equation has the form xn+1 = axn.

() This equation has the special solution xn = 0. Since it is constant it is said to be an equilibrium Size: KB. It begins with various representational models of dynamical systems, and presents general methods of stability analysis, including phase trajectories and the general method of Lyapunov.

The later part of the chapter provides discussion on nonlinear fuzzy systems and its stability by: 1. Figure \(\PageIndex{1}\): Schematic illustrations of several different types of equilibrium points and their nearby trajectories in 2-D continuous-time dynamical systems, shown in the same format as in Fig.

The real part of the dominant eigenvalue \(Re(λ_d)\) determines the overall stability of the equilibrium point (top), although it. Discrete Dynamical Systems Suppose that A is an n n matrix and suppose that x0 is a vector in x1 Ax0 is a vector in se, x2 Ax1 is a vector in n, and we can in fact generate an infinite sequence of vectors xk k 0 in n defined recursively by xk 1 Axk.

When viewed in this context, we say that the matrix A defines a discreteFile Size: KB. The book presents the lectures delivered during a short course held at Urbino University in summer on qualitative theory of dynamical systems, included in the activities of the COST Action IS “The EU in the new economic complex geography: models, tools and policy evaluation”.

Numerical analysis has traditionally concentrated on the third of these topics, but the rst two are perhaps more important in numerical studies that seek to delineate the structure of dynamical systems. This survey concentrates on exposition of fundamental mathematical principles and their application to the numerical analysis of examples.

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This Special Issue aims at collecting the latest results related to Discrete Dynamical Systems, Mathematics of Networks, Optimization, and their application in the mathematical modeling of Signals.

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Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential.

In this chapter, we consider some of the most broadly applicable techniques for the analysis of discrete and continuous time dynamical systems such as Eigenvalue Methods and Phase Portraits. These methods can provide important qualitative information about the behavior of dynamical systems, even when exact analytic solutions are not obtainable.

Featuring chapters based on lectures delivered at the School on Discrete Dynamical Systems (Aussois, France, February ) the book contains three parts - Numerical Tools and Modelling, Analytical Methods, and Examples of Application.

It provides a single source of information that, until now, has been available only in widely dispersed. Discovering Discrete Dynamical Systems is a mathematics textbook designed for use in a student-led, inquiry-based course for advanced mathematics majors. Fourteen modules – each with an opening exploration, a short exposition and related exercises, and a concluding project – guide students to self-discovery on topics such as fixed points and their classifications, chaos and fractals, Julia.The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory.

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