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6-075-LorenzSystemSimulation-ModelingScenario

Author(s): Vladimir Riabov

Rivier University, Nashua NH USA

Keywords: chaos oscillator Lorenz waterwheel strange attractor bifurcation effect

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Abstract

Resource Image The Lorenz system is examined by students as a simple model of chaotic behavior or strange attractor. MATLAB code is created to find the numerical solutions of the Lorenz’ system of nonlinear ordinary differential equations using various parameters.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Bloom's Cognitive Level

Description

Further displayed are  the knotted periodic orbits, a saddle-node bifurcation effect, and sensitivity of the solutions to slightly different initial conditions. To demonstrate the system’s chaotic behavior, a waterwheel model animation will be simulated with Java code. The samples of students’ modeling projects are reviewed.

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Authors

Author(s): Vladimir Riabov

Rivier University, Nashua NH USA

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