Free vibration in a class of self-excited oscillators with 1:3 internal resonance

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DOI10.1023/A:1008227316517zbMath0899.70014OpenAlexW123299666MaRDI QIDQ1362154

S. Natsiavas, K. D. Bouzakis, P. Aichouh

Publication date: 17 November 1998

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008227316517

zbMATH Keywords

parametric study perturbation procedure rotor dynamics supercritical Hopf bifurcation homoclinic explosion Lorenz-type attractors single mode response flow-induced vibrations metal cutting chatter mixed mode response numerical integration of averaged equations Rossler-type attractors

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motions for nonlinear problems in mechanics (70K25) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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