6-075-S-LorenzSystemSimulation

By Vladimir Riabov

Rivier University, Nashua NH USA

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Abstract

The Lorenz system will be examined by students as a simple model of chaotic behavior (also known as strange attractor). MATLAB code has been created to find the numerical solutions of the Lorenz’ system of nonlinear ordinary differential equations using various parameters, as well as to display 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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Researchers should cite this work as follows:

  • Vladimir Riabov (2021), "6-075-S-LorenzSystemSimulation," https://www.simiode.org/resources/8749.

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