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Research in Nonlinear Dynamics

"Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals." (Stanislaw Ulam)

Nonlinearity quite commonly arises through the collective behavior of even the simplest systems: it is insufficient to simply (linearly) add the effects of the components. Instead, the interactions between the components lead to such emergent phenomena as chaos, solitons, fractals, and meta/multi-stability. The resulting dynamics can be highly unpredictable, even though the underlying physics is deterministic.

Both engineered and natural systems commonly exhibit nonlinear dynamics, and these are studied by the Applied Chaos Lab and in the Daniels Nonlinear Lab

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