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DC Field | Value | Language |
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dc.contributor.author | BOSSCHAERT, Maikel | - |
dc.contributor.author | Janssens, Sebastiaan G. | - |
dc.contributor.author | Kuznetsov, Yuri A. | - |
dc.date.accessioned | 2018-04-12T10:11:54Z | - |
dc.date.available | 2018-04-12T10:11:54Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | 9th European Nonlinear Dynamics Conference (ENOC 2017), Budapest University of Technology and Economics, Budapest, Hungary, 25-30/06/2017 | - |
dc.identifier.uri | http://hdl.handle.net/1942/25866 | - |
dc.description.abstract | Using the framework of dual semigroups, the existence of a finite dimensional smooth center manifold for DDEs can be rigorously established [1]. This makes it is possible to apply the normalization method for local bifurcations of ODEs [2] to DDEs. Recently, the critical normal form coefficients for all five codimension 2 bifurcation of equilibria in generic DDEs have been derived [7] and implemented into the Octave/Matlab package DDE-BifTool [5]. We generalize a center manifold theorem from [1] to generic parameter-dependent DDEs, covering the cases where the critical equilibrium can disappear. It allows us to initialize the continuation of codimension 1 equilibrium and nonhyperbolic cycle bifurcations emanating from the generalized Hopf, zero-Hopf and Hopf-Hopf bifurcations in DDEs, which are the only codim 2 eqillibrium bifurcations in generic DDEs where nonhyperbolic cycles could originate. The obtained expressions have been implemented in DDE-BifTool and tested on various models. | - |
dc.language.iso | en | - |
dc.title | Switching to nonhyperbolic cycles from codim-2 bifurcations of equilibria in DDEs | - |
dc.type | Conference Material | - |
local.bibliographicCitation.conferencedate | 2017, June 25-30 | - |
local.bibliographicCitation.conferencename | 9th European Nonlinear Dynamics Conference (ENOC 2017) | - |
local.bibliographicCitation.conferenceplace | Budapest University of Technology and Economics, Budapest, Hungary | - |
local.bibliographicCitation.jcat | C2 | - |
local.type.refereed | Non-Refereed | - |
local.type.specified | Conference Material | - |
dc.identifier.url | https://congressline.hu/enoc2017/abstracts/276.pdf | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.contributor | BOSSCHAERT, Maikel | - |
item.contributor | Janssens, Sebastiaan G. | - |
item.contributor | Kuznetsov, Yuri A. | - |
item.fullcitation | BOSSCHAERT, Maikel; Janssens, Sebastiaan G. & Kuznetsov, Yuri A. (2017) Switching to nonhyperbolic cycles from codim-2 bifurcations of equilibria in DDEs. In: 9th European Nonlinear Dynamics Conference (ENOC 2017), Budapest University of Technology and Economics, Budapest, Hungary, 25-30/06/2017. | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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276.pdf | Conference material | 843.76 kB | Adobe PDF | View/Open |
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