Resonant vibrations in harmonically excited weakly coupled mechanical systems with cyclic symmetry

DOI10.1016/S0960-0779(99)00075-2zbMath0971.70022OpenAlexW2086313988MaRDI QIDQ1573289

S. Samaranayake, Geetha Samaranayake, Anil K. Bajaj

Publication date: 1 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00075-2

zbMATH Keywords

bifurcation analysissaddle-node bifurcationscoupled nonlinear oscillatorsresonant vibrationssymmetry-breaking bifurcationsextended small responselocalized periodic responsesingle-particle excitationuniformly distributed excitationweakly coupled nonlinear cyclic symmetric structures

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

Single-mode control and chaos of cantilever beam under primary and principal parametric excitations ⋮ On methods for continuous systems with quadratic, cubic and quartic nonlinearities ⋮ Global bifurcations and chaos in externally excited cyclic systems

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Dynamics of a nonlinear periodic structure with cyclic symmetry
• Amplitude modulated dynamics and bifurcations in the resonant response of a structure with cyclic symmetry
• A Multiple-Scales Analysis of Nonlinear, Localized Modes in a Cyclic Periodic System

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