Transition sets of bifurcations of dynamical systems with two state variables with constraints

DOI10.1007/S10483-012-1539-7zbMath1233.70010OpenAlexW1516038984MaRDI QIDQ764632

Jun Li, Yu-Shu Chen

Publication date: 13 March 2012

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

Full work available at URL: https://doi.org/10.1007/s10483-012-1539-7

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

• Singular analysis of two-dimensional bifurcation system
• Singularities and groups in bifurcation theory. Volume I
• New bifurcation patterns in elementary bifurcation problems with single-side constraint
• Classification of bifurcations for nonlinear dynamical problems with constraints
• Universal classification of bifurcation solutions to a primary parametric resonance in van der Pol-Duffing-Mathieu's systems
• Classification of parametrically constrained bifurcations
• Singularity analysis of a two-dimensional elastic cable with 1:1 internal resonance
• The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems
• BIFURCATION ANALYSIS ON A SELF-EXCITED HYSTERETIC SYSTEM

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