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Rotational Analysis of Phase Plane Curves: Complex and Pure Imaginary Eigenvalues
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Murray, Russell H. – Mathematics and Computer Education, 2005
Although the phase plane can be plotted and analyzed using an appropriate software package, the author found it worthwhile to engage the students with the theorem and the two proofs. The theorem is a powerful tool that provides insight into the rotational behavior of the phase plane diagram in a simple way: just check the signs of c and [alpha].…
Descriptors: Equations (Mathematics), Mathematics Instruction, Mathematical Concepts, Computer Software