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content/applied-math/dynamical-systems/limit-cycles.md
@@ -48,6 +48,8 @@ Suppose $\vec{x^*}$ were an attracting @fixed-point in a conservative system. Th
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+Now, while conservative systems can't have attracting fixed points, they can have other types, and generally have @saddles and @centers.
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<!-- TODO: Hamiltonian systems, energy conservation, potential functions, energy level sets, closed orbits -->
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## Lyapunov Functions
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