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Chaos and the Logistics Map

February 2001, Paul Gartside and MATH 0450






Introduction

Simplicity and chaos would seem to be diametrically opposed. Remarkably, very simple systems can behave chaotically. We will explore one such system, the logistics map system, proving that it really is chaotic, and examine how the system passes from a stable state to a chaotic one.

HTML Pages
  1. The Logistics Map
    Solutions:     Task 1 Task 2
  2. Experimentation
    Solutions:     Task 3 Task 4
  3. How about some Proof?
    Solutions:     Task 5 Task 6
  4. Mathematical Chaos
    Solutions:     Task 7
  5. Further Developments
Chaos Reports
Daniel Anderson Chaos Theory in Weather Cynthia Kinnan Applications of Chaos in Economics
(and in MathML)
Patrick Irvin An Investigation into Chaos Justin Wyant Complexity vs Simplicity
Wayne Adkins Chaos Conclusions Jarrod Pickens Chaos and Music
Heather Elko Chaotic Music Jason Putorti Applications of Chaos?
Charles Miller Poetic, Chaotic Baseball Zac Sloane Feigenbaum's Constants
Drake Wilson Cryptic Chaos

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