A class of abstract delay differential equations in the light of suns and stars. II

Autor: Janssens, Sebastiaan G.

Recent work in arXiv:1901.11526 by the author about a class of abstract delay differential equations (DDEs), as well as earlier work by Diekmann and Gyllenberg on other classes of delay equations, motivates the introduction of the general notion of a

Externí odkaz: http://arxiv.org/abs/2003.13341

A class of abstract delay differential equations in the light of suns and stars

Autor: Janssens, Sebastiaan G.

Using dual perturbation theory in a non-sun-reflexive context, we establish a correspondence between 1. a class of nonlinear abstract delay differential equations (DDEs) with unbounded linear part and an unknown taking values in an arbitrary Banach s

Externí odkaz: http://arxiv.org/abs/1901.11526

Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations

Autor: Bosschaert, Maikel M., Janssens, Sebastiaan G., Kuznetsov, Yu A., Mathematical Modeling, Sub Mathematical Modeling, Sub Analysis begr. 01-01-2014

Publikováno v: SIAM Journal on Applied Dynamical Systems, 19(1), 252. Society of Industrial and Applied Mathematics
SIAM journal on applied dynamical systems, 19(1), 252-303. Society of Industrial and Applied Mathematics

In this paper, we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin), fold-Hopf, Hopf-Hopf, and transcritical-Hopf bifurcations in delay differential equations (DDEs). This allows us to initialize the continu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71a84df6333768fa5762ab14f2b4da78
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