Bifurcation analysis of delay-induced periodic oscillations

DOI10.1016/j.cam.2009.10.025zbMath1201.34105OpenAlexW1970522247MaRDI QIDQ847194

N. E. Zubov

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.10.025

zbMATH Keywords

periodic solutionsdelayEckhaus instabilitycodimension-two bifurcations

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Numerical bifurcation problems (65P30) Bifurcation theory of functional-differential equations (34K18)

Related Items (2)

A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems ⋮ The analysis of the degenerate case of oscillations of a mechanical system

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• Introduction to functional differential equations
• A Multiple Time Scale Approach to the Stability of External Cavity Modes in the Lang–Kobayashi System Using the Limit of Large Delay
• A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
• Oscillation and Chaos in Physiological Control Systems
• A Two-Parameter Study of the Locking Region of a Semiconductor Laser Subject to Phase-Conjugate Feedback
• Bifurcation Analysis of a Semiconductor Laser with Filtered Optical Feedback
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Elements of applied bifurcation theory

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