Computer-assisteed proof of a periodic solution in a non-linear feedback DDE

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dc.creatorZalewski, Mikolaj
dc.date2007-01-09
dc.date.accessioned2026-07-07T07:39:28Z
dc.date.available2026-07-07T07:39:28Z
dc.descriptionIn this paper we rigorously prove the existance of a non-trivial periodic orbit for the non-linear delay differential equation: $x'(t) = K \sin(x(t-1))$ for $K=1.6$. We show that the equations on the Fourier equations have a solution by computing the local Brower degree. This degree can be computed by using a homotopy which validity can be checked by checking a finite number of inequalities. Checking these inequalities is done by a computer program.
dc.description19 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0701265
dc.identifierhttp://arxiv.org/abs/math/0701265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121459
dc.subjectDynamical Systems
dc.subject34K13, 65G20
dc.titleComputer-assisteed proof of a periodic solution in a non-linear feedback DDE
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