Road to chaos for a soft spring system under weak periodic disturbance

DOI10.1007/BF01897053zbMath0584.73072MaRDI QIDQ1069750

Weiguo Yao, Zhaoxuan Zhu, Zheng-Rong Liu

Publication date: 1986

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

zbMATH Keywords

parametric excitationforced vibrationchoaselastic system with soft spring constantMel'nikov-Holmes methodorder in sequences different for different disturbance frequenciessequences of subharmonic bifurcationsthreshold value for appearance of transversal homoclinic pointsweak periodic disturbance

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical problems in solid mechanics (74H99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (3)

A centrosymmetric chaos ⋮ Higher-order Melnikov method ⋮ Melnikov function and Poincaré map

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On Mathieu equation with damping

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