Abstract
We began our study of dynamics by looking at equilibrium behavior, modeled by stable equilibrium points, or as we learned to call them, point attractors.
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It also never approaches repetitive (periodic) behavior. The last part is critical. Strictly speaking, trajectories approaching a stable equilibrium point or limit cycle don’t repeat, either, because trajectories cannot cross. However, as time goes on, they get closer and closer to completely repetitive behavior, so it makes sense to call them periodic. Technically, they are asymptotically periodic.
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Faucets without aerators work better than those so equipped.
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In describing this model, we will adopt a practice more common in programming than in math and use multiletter variable names; SL is a single variable, not a product.
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Garfinkel, A., Shevtsov, J., Guo, Y. (2017). Chaos. In: Modeling Life. Springer, Cham. https://doi.org/10.1007/978-3-319-59731-7_5
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DOI: https://doi.org/10.1007/978-3-319-59731-7_5
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