Computation of the simplest normal form of a resonant double Hopf bifurcation system with the complex normal form method

DOI10.1007/s11071-008-9434-3zbMath1176.70026OpenAlexW2038726349MaRDI QIDQ1041857

Wei Wang, QiChang Zhang

Publication date: 4 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-008-9434-3

zbMATH Keywords

normal formnonlinear transformationdouble Hopf bifurcationthe simplest normal form

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (5)

Higher order accuracy analysis of the second-order normal form method ⋮ Normal form of Bogdanov-Takens: styles and a hypernormalization method ⋮ Application of the improved complex normal form method based on He's energy balance method to a noise included nonlinear oscillator ⋮ Double Hopf bifurcation and quasi-periodic attractors in delay-coupled limit cycle oscillators ⋮ Constructing the second order Poincaré map based on the Hopf-zero unfolding method

Cites Work

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• Bifurcation and stability analysis of a neural network model with distributed delays
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• Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling
• Normal forms for singularities of vector fields
• SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS

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