Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays

DOI10.15388/NA.2016.6.1zbMath1416.34051OpenAlexW2564716145MaRDI QIDQ4968096

Xia Liu, Jingling Wang

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2016.6.1

zbMATH Keywords

normal formdelaysBogdanov-Takens bifurcationdifferential systemtriple zero bifurcation

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Bifurcation theory of functional-differential equations (34K18)

Related Items (1)

Bogdanov–Takens and Triple Zero Bifurcations of Coupled van der Pol–Duffing Oscillators with Multiple Delays

Cites Work

• Unnamed Item
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• Bifurcation analysis in a recurrent neural network model with delays
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• Multiple bifurcations in a delayed predator-prey diffusion system with a functional response
• Theory of functional differential equations. 2nd ed
• Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback
• The simplest normal forms associated with a triple zero eigenvalue of indices one and two.
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Codimension two bifurcation in a delayed neural network with unidirectional coupling
• Triple-zero bifurcation in van der Pol's oscillator with delayed feedback
• The bifurcation study of 1:2 resonance in a delayed system of two coupled neurons
• Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
• Bifurcations in predator-prey systems with nonmonotonic functional response
• Singularity analysis on a planar system with multiple delays
• Zero singularities of codimension two and three in delay differential equations
• The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
• A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
• Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response

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