NONLINEAR ROCKING MOTIONS. I: CHAOS UNDER NOISY PERIODIC EXCITATIONS

The authors of this technical paper analyze and simulate the effects of low-intensity random perturbations on the stability of chaotic response of rocking objects under otherwise periodic excitations. A stochastic Melnikov process is developed to establish a lower bound for the domain of possible chaos. An average phase-flux rate is calculated to demonstrate noise effects on transitions from chaos to overturning. A mean Poincare mapping procedure is used to reconstruct embedded chaotic attractors under random noise on Poincare sections. Extensive simulations are used to study chaotic behaviors from an ensemble point of view. Analysis suggests that the presence of random perturbations enlarges the possible chaotic domain and bridges the domains of attraction of coexisting attractors. Numerical results indicate that overturning attractors are of the greatest strength among coexisting ones; and, due to the weak stability of chaotic attractors, the presence of random noise leads to chaotic rocking responses to overturning. Existence of embedded strange attractors suggests that rocking objects may experience transient chaos before they overturn.

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  • English

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  • Accession Number: 00728782
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Nov 30 1996 12:00AM