GLOBAL BIFURCATIONS AND CHAOTIC DYNAMICS IN SUSPENDED CABLES

DOI10.1142/S0218127409025092zbMath1182.34067OpenAlexW2087101032MaRDI QIDQ5305156

Zhaohua Zhang, Qingyu Xu, Jilong Wang, Hongkui Chen

Publication date: 19 March 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127409025092

zbMATH Keywords

chaotic dynamicsglobal bifurcationsinternal resonancesuspended cablesprincipal parametric and resonanceŠhilnikov type multipulse homoclinic orbits

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Vibrations in dynamical problems in solid mechanics (74H45) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Perturbation analysis in parametrically excited two-degree-of-freedom systems with quadratic and cubic nonlinearities ⋮ PARAMETRIC VIBRATION OF STAY CABLES UNDER AXIAL NARROW-BAND STOCHASTIC EXCITATION ⋮ Global bifurcations of a taut string with 1:2 internal resonance

Uses Software

• Dynamics

Cites Work

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• Multi-bump orbits homoclinic to resonance bands
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• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

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