Resonant double Hopf bifurcation in a diffusive Ginzburg-Landau model with delayed feedback

DOI10.1007/S11071-022-07339-0zbMath1517.35220OpenAlexW4221045888MaRDI QIDQ6132397

Yuxuan Huang, Hua Zhang, Ben Niu

Publication date: 16 August 2023

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

Full work available at URL: https://doi.org/10.1007/s11071-022-07339-0

zbMATH Keywords

time delaystrange attractorscomplex Ginzburg-Landau modelresonant double Hopf bifurcation

Mathematics Subject Classification ID

Attractors (35B41) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Ginzburg-Landau equations (35Q56)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducibility of stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises and applications
• Double Hopf bifurcation induces coexistence of periodic oscillations in a diffusive Ginzburg-Landau model
• Chaotic attractors on a 3-torus, and torus break-up
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Geometric theory of semilinear parabolic equations
• Theory of functional differential equations. 2nd ed
• Resonant Hopf-Hopf interactions in delay differential equations
• Complex dynamics in the 1:3 spatial resonance
• Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
• Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
• Theory and applications of partial functional differential equations
• Time dependent Ginzburg-Landau equations of superconductivity
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Complicated oscillations and non-resonant double Hopf bifurcation of multiple feedback delayed control system of the gut microbiota
• Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect
• The asymptotic behavior of the stochastic coupled Kuramoto-Sivashinsky and Ginzburg-Landau equations
• Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
• Realizability of the normal forms for the non-semisimple 1:1 resonant Hopf bifurcation in a vector field
• Double Hopf bifurcation in delayed reaction-diffusion systems
• Classification and unfoldings of \(1:2\) resonant Hopf bifurcation
• Multiple scales analysis for double Hopf bifurcation with 1:3~resonance
• The world of the complex Ginzburg-Landau equation
• Synchronization in nonidentical complex Ginzburg-Landau equations
• The double Hopf bifurcation with 2:1 resonance
• Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
• Turing–Hopf Bifurcation and Spatio-Temporal Patterns of a Ratio-Dependent Holling–Tanner Model with Diffusion
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Normal forms and Hopf bifurcation for partial differential equations with delays
• An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
• Finite bandwidth, finite amplitude convection
• TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
• Elements of applied bifurcation theory

This page was built for publication: Resonant double Hopf bifurcation in a diffusive Ginzburg-Landau model with delayed feedback