DOUBLE HOPF BIFURCATION FOR STUART–LANDAU SYSTEM WITH NONLINEAR DELAY FEEDBACK AND DELAY-DEPENDENT PARAMETERS

DOI10.1142/S0219525907001227zbMath1152.37021OpenAlexW2041060868MaRDI QIDQ3521556

Suqi Ma, S. John Hogan, Qi-Shao Lu

Publication date: 26 August 2008

Published in: Advances in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219525907001227

zbMATH Keywords

time delayfeedback controldouble Hopf bifurcationlimit cycle oscillatorStuart-Landau system

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Boundary value problems for functional-differential equations (34K10)

Related Items (2)

The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence ⋮ Hopf and resonant double Hopf bifurcation in congestion control algorithm with heterogeneous delays

Cites Work

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• Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
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• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• A time-delay model of single-species growth with stage structure
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• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• A numerical and theoretical study of the first Hopf bifurcation in a cylinder wake
• Interaction of maturation delay and nonlinear birth in population and epidemic models

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