Monique Chyba & Taylor Klotz (University of Hawaii)
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Copepod nauplii are tiny, larval crustaceans that are found in nearly all water environments. A recent control optimization problem has been used to model the planar motion of a two-legged version of such tiny creatures. In previous work, it was found that this planar motion strongly resembles Euler elastica. After presenting the model, and numerical simulations of these trajectories, we will show how the control system may be transformed into a simpler system utilizing symmetry. This allows us to study the geometry of the optimization problem through the lens of lagrangian classification, with the goal of rigorously demonstrating the relationship between Euler elastica and the optimal trajectories of the copepod model.
Two-Legged Copepod Motion and Euler elastica.
Mar. 16, 2022 4pm (Math 220)
Math Club
Rodrigo Ribeiro (CU-Boulder (postdoc))
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In this talk will see the surprising results which connect so distinct networks such as Instagram and nervous system of worms. We will also see how mathematics is used to model and investigate the evolution of social networks and other real-world networks.
What do the nervous system of a worm, power-grids and Instagram have in common?
Two-Legged Copepod Motion and Euler elastica.