scientific article; zbMATH DE number 6892597

zbMath1394.34097MaRDI QIDQ4568437

Kseniya Valerievna Galunova, Dmitriy Yu. Volkov

Publication date: 21 June 2018

Full work available at URL: http://www.math.spbu.ru/diffjournal/EN/numbers/2017.2/article.1.8.html

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zbMATH Keywords

periodic solutioninvariant toriNeimark-Saker bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Lasers, masers, optical bistability, nonlinear optics (78A60) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

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• Bifurcation with two parameters in two-dimensional complex space. Applications to laser systems
• Bifurcation to Quasi-Periodic Tori in the Interaction of Steady State and Hopf Bifurcations
• The Center and Cyclicity Problems
• Nonlinear Optical Systems
• A new approach to the perturbation theory of invariant surfaces
• Elements of applied bifurcation theory

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