000014994 001__ 14994
000014994 005__ 20161115100208.0
000014994 04107 $$aeng
000014994 046__ $$k2016-08-21
000014994 100__ $$aRand, Richard
000014994 24500 $$aOn Nonlinear Differential Equations with Delayed Self-Feedback

000014994 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014994 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014994 506__ $$arestricted
000014994 520__ $$2eng$$aThis work concerns the dynamics of nonlinear systems that are subjected to delayed self-feedback. Perturbation methods applied to such systems give rise to slow flows which characteristically contain delayed variables. We consider two approaches to analyzing Hopf bifurcations in such slow flows. In one approach, which we refer to as approach I, we follow many researchers in replacing the delayed variables in the slow flow with non-delayed variables, thereby reducing the differential-delay equation (DDE) slow flow to an ordinary differential equation (ODE). In a second approach, which we refer to as approach II, we keep the delayed variables in the slow flow. By comparing these two approaches we are able to assess the accuracy of making the simplifying assumption which replaces the DDE slow flow by an ODE.

000014994 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014994 653__ $$a

000014994 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014994 720__ $$aRand, Richard
000014994 8560_ $$ffischerc@itam.cas.cz
000014994 8564_ $$s67147$$uhttps://invenio.itam.cas.cz/record/14994/files/TS.MS04-4.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 134, code TS.MS04-4.01
.
000014994 962__ $$r13812
000014994 980__ $$aPAPER