Normal form of $O(2)$ Hopf bifurcation in a model of a nonlinear optical system with diffraction and delay

Normal form of $O(2)$ Hopf bifurcation in a model of a nonlinear optical system with diffraction and delay

In this paper we construct an $O(2)$-equivarint Hopf bifurcation normal form for a model of a nonlinear optical system with delay and diffraction in the feedback loop whose dynamics is governed by a system of coupled quasilinear diffusion equation and linear Schrödinger equation. The coefficients of...

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Bibliographic Details
Main Authors: Stanislav Budzinskiy, Alexander Razgulin
Format: Article
Language:English
Published: University of Szeged 2017-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
normal form
equivariant hopf bifurcation
$o(2)$ symmetry
functional differential equation
delay
nonlinear optical system
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5770

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5770

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