Classification of bifurcations for nonlinear dynamical problems with constraints

DOI10.1007/BF02437771zbMath1026.47053MaRDI QIDQ1864023

Zhiqiang Wu, Yu-Shu Chen

Publication date: 9 December 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

singularityconstraintnonlinear dynamical systemsbifurcations of periodic solutions

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items

Normal form of the nonsemi-simple bifurcation problem ⋮ Equilibrium point bifurcation and singularity analysis of HH model with constraint ⋮ Classification of parametrically constrained bifurcations ⋮ Transition sets of bifurcations of dynamical systems with two state variables with constraints ⋮ Singularity analysis of response bifurcation for a coupled pitch-roll ship model with quadratic and cubic nonlinearity

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Classification and unfoldings of \(1:2\) resonant Hopf bifurcation
• The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems
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