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MATH 225 Quiz VI - Terms and Concepts in Dynamical Systems, Quizzes of Differential Equations

A university quiz focused on the definitions and roles of various terms and concepts in the field of dynamical systems, including deterministic systems, dynamical systems, attractors, strange attractors, fractals, chaos theory, and fixed points.

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

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koofers-user-4sc 🇺🇸

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MATH 225 - June 18, 2008 NAME:
Quiz VI
1. Using the corresponding webpage(s) define the following terms:
http://en.wikipedia.org/wiki/Deterministic_system_(mathematics) - Deterministic System
http://en.wikipedia.org/wiki/Dynamical_system - Dynamical System
http://en.wikipedia.org/wiki/Attractor - Attracting Set
http://mathworld.wolfram.com/StrangeAttractor.html - Strange Attractor
http://en.wikipedia.org/wiki/Fractal_dimension - Fractal Dimension
http://en.wikipedia.org/wiki/Fractal - Fractal
http://en.wikipedia.org/wiki/Chaos_theory - Chaos
2. Explain the roll of fixed points in describing the behaviors of solutions to a system of differential equations.
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MATH 225 - June 18, 2008 NAME: Quiz VI

  1. Using the corresponding webpage(s) define the following terms:
    • http://en.wikipedia.org/wiki/Deterministic_system_(mathematics) - Deterministic System
    • http://en.wikipedia.org/wiki/Dynamical_system - Dynamical System
    • http://en.wikipedia.org/wiki/Attractor - Attracting Set
    • http://mathworld.wolfram.com/StrangeAttractor.html - Strange Attractor
    • http://en.wikipedia.org/wiki/Fractal_dimension - Fractal Dimension
    • http://en.wikipedia.org/wiki/Fractal - Fractal
    • http://en.wikipedia.org/wiki/Chaos_theory - Chaos
  2. Explain the roll of fixed points in describing the behaviors of solutions to a system of differential equations.
  1. Explain the qualitative differences between the configuration in phase space of fixed points for a linear system to that of a nonlinear system.
  2. Using your favorite search engine give three examples of chaotic systems and their physical or natural relevance.
  3. List three questions you have after the presentation and this quiz.