= Leonid Pavlovich Shilnikov
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Leonid Pavlovich Shilnikov developed the theory of <Shilnikov bifurcations> associated with a <saddle-focus>. The <Shilnikov bifurcation> explains a route to <chaos> through the return of an <unstable manifold> to the same <equilibrium>. His joint account with <Andrey Shilnikov> describes the role of the saddle quantity in distinguishing stable periodic behavior from more complicated nearby dynamics.<Shilnikov Bifurcation by Leonid Pavlovich Shilnikov and Andrey Shilnikov>[Shilnikov theorem section]{ref}
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