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

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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.

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Ingo Schulz-Schaeffer,Stefan B?schenn completion of this chapter, the reader should be able to.? find and classify critical points in the plane;.? carry out simple linear transformations;.? construct phase plane diagrams using isoclines, vector fields, and eigenvectors;.? apply the theory to simple modeling problems.

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Bernd Eisenstein,Christian Rastce perturbation methods..On completion of this chapter, the reader should be able to.? prove existence and uniqueness of a limit cycle;.? prove that certain systems have no limit cycles;.? interpret limit cycle behavior in physical terms;.? find approximate solutions for perturbed systems.

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Den Tourismusstandort Deutschland sichernable to.? prove whether a system is Hamiltonian;.? sketch phase portraits of Hamiltonian systems;.? use Lyapunov functions to determine the stability of a critical point;.? distinguish between stability and asymptotic stability.

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Den Tourismusstandort Deutschland sicherno 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 phys

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Den Tourismusstandort Deutschland sichernreedom..? 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

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Marken, Medien und Zielgruppenmanagement?bner 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.

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?Used“ — Zur Negation von Neuigkeit? To consider the flow at infinity after Poincaré compactification..? To review the main results on the number of limit cycles of Liénard systems..? To prove two theorems concerning limit cycles of certain Liénard systems..On completion of this chapter, the reader should be able to.? state the secon