Explicit formulas for computing the normal form of Bogdanov-Takens bifurcation in delay differential equations

DOI10.1007/s11071-017-3509-yzbMath1384.34043OpenAlexW2604657685MaRDI QIDQ1745242

Baodong Zheng, Chun-Rui Zhang

Publication date: 20 April 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3509-y

zbMATH Keywords

delaynormal formBogdanov-Takens singularityoregonator oscillator

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23)

Related Items (5)

Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation ⋮ Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays ⋮ Resonant bifurcation of feed-forward chains and application in image contrast enhancement ⋮ Bogdanov-Takens bifurcation in a shape memory alloy oscillator with delayed feedback ⋮ Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay

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