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Keywords: bifurcations
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Proceedings Papers

Proc. ASME. DETC97, Volume 1C: 16th Biennial Conference on Mechanical Vibration and Noise, V01CT12A016, September 14–17, 1997
Paper No: DETC97/VIB-4028
... their stability. The equilibrium solutions experience pitchfork, saddle-node, and Hopf bifurcations. A detailed bifurcation of the dynamic solutions of the modulation equations is presented. Five branches of dynamic (periodic and chaotic) solutions were found. Two of these branches emerge from two Hopf...
Proceedings Papers

Proc. ASME. IDETC-CIE2020, Volume 2: 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC), V002T02A045, August 17–19, 2020
Paper No: DETC2020-22715
... is discussed. For strong nonlinearities, unstable parodic motions can be obtained and stabilities of the periodic motions are determined through the eigenvalue analysis. The Hopf and saddle bifurcations are observed. Numerical simulations are illustrated for both masses at the resonance peaks. The harmonic...
Proceedings Papers

Proc. ASME. IDETC-CIE2012, Volume 6: 1st Biennial International Conference on Dynamics for Design; 14th International Conference on Advanced Vehicle Technologies, 93-104, August 12–15, 2012
Paper No: DETC2012-70387
... its original symmetry properties. In addition, it is argued that upon return to a symmetric configuration, such a protocol may result in a different control strategy from that applied prior to the occurrence of a fault. Nonlinear dynamics bifurcations symmetry correction open-loop...
Proceedings Papers

Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 63-70, September 2–6, 2003
Paper No: DETC2003/VIB-48310
... 19 06 2008 It is shown how a standard public-domain program for the numerical continuation of stationary and periodic solutions of dynamical systems, and of their bifurcations, can be used to analyse the behaviour of solutions of the equations of motion for a multibody system...