Titlebook: Dynamical Systems with Applications using Maple™; Stephen Lynch Textbook 2010Latest edition Birkhäuser Boston 2010 Chaos.MATLAB.Maple.comp

STELL

省略

Bifurcation Theory,o introduce the theory of normal forms..On completion of this chapter, the reader should be able to.• describe how a phase portrait changes as a parameter changes;.• plot bifurcation diagrams;.• take transformations to obtain simple normal forms;.• interpret the bifurcation diagrams in terms of physical behavior.

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,Poincaré Maps and Nonautonomous Systems in the Plane,reedom..• To use Poincaré maps to investigate a nonautonomous system of differential equations..On completion of this chapter, the reader should be able to.• understand the basic theory of Poincaré maps;.• plot return maps for certain systems;.• use the Poincaré map as a tool for studying stability and bifurcations.

特征

Local and Global Bifurcations,öbner bases..On completion of this chapter, the reader should be able to.• bifurcate small-amplitude limit cycles from fine foci;.• solve systems of multivariate polynomial equations;.• bifurcate limit cycles from a center;.• investigate limit cycle bifurcation from homoclinic loops, numerically.

Clumsy

Nonlinear Discrete Dynamical Systems,universality..On completion of this chapter, the reader should be able to.• produce graphical iterations of one-dimensional iterated maps;.• test whether certain systems are chaotic;.• plot bifurcation diagrams;.• apply some of the theory to model simple problems from biology, economics, neural networks, nonlinear optics, and population dynamics.

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Den Tourismusstandort Deutschland sichern• To apply the theory of planar systems to modeling interacting species..On completion of this chapter, the reader should be able to.• plot solution curves to modeling problems for planar systems;.• interpret the results in terms of species behavior.

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伙伴

Privatisierung von Wissenschaft?• To provide a concise source of reference for experienced users..On completion of this chapter, the reader should be able to.• use Maple as a tool;.• produce simple Maple worksheets;.• access some Maple commands and worksheets over the World Wide Web.