Fractal boundary explorations for a nonlinear two degree-of-freedom system

This paper explores a two degree-of-freedom nonlinearly coupled system with two distinct potential wells. The system consists of a pair of linear mass-spring-dampers with a non-linear, mechanical coupling between them. This nonlinearity creates fractal boundaries for basins of attraction and forced well-escape response. The inherent uncertainty of these fractal boundaries is quantified for errors in the initial conditions and parameter space. This uncertainty relationship provides a measure of the final state and transient sensitivity of the system. Copyright © 2012 by ASME.

Full Text

Duke Authors

Cited Authors

  • Owens, BAM; Mann, BP

Published Date

  • 2012

Published In

  • Proceedings of the ASME Design Engineering Technical Conference

Volume / Issue

  • 1 / PARTS A AND B

Start / End Page

  • 507 - 511

Digital Object Identifier (DOI)

  • 10.1115/DETC2012-70327