Local bifurcation of a circus truss antenna considering the effect of space thermal excitation

DOI10.1016/J.CHAOS.2022.112437zbMath1506.74150OpenAlexW4289783186MaRDI QIDQ2677424

Yanyan Li

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112437

zbMATH Keywords

stabilitylocal bifurcationthermal excitationcircus truss antenna

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

• Vibration analysis on a thin plate with the aid of computation of normal forms
• Applications of centre manifold theory
• Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
• Nonlinear dynamic analysis of ring truss antenna equivalent to the cylindrical shell with thermal excitation
• COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
• SYMBOLIC COMPUTATION OF NORMAL FORMS FOR RESONANT DOUBLE HOPF BIFURCATIONS USING A PERTURBATION TECHNIQUE
• Nonlinear Breathing Vibrations and Chaos of a Circular Truss Antenna with 1:2 Internal Resonance
• Bifurcations associated with a three-fold zero eigenvalue
• A perturbation analysis of interactive static and dynamic bifurcations
• Bifurcations Associated with a Double Zero and a Pair of Pure Imaginary Eigenvalues
• ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A DOUBLE PENDULUM

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