THEORETICAL and NUMERICAL VALIDATION of the STOCHASTIC INTERROGATION EXPERIMENTAL METHOD

Bart W. Kimble, Joseph P. Cusumano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Stochastic interrogation is an experimental method that uses transient trajectories starting at numcrou.s pseudo-random initial conditions to obtain detailed information about the flow of a dynamical system in phase space. From this flow information, various global dynamical phenomena can be studied, such as the transition to complex basin boundaries, chaotic transients, and strange non-attracting seis. The existence of these features in turn allows the occurrence of a homoclinic bifurcation to be inferred, even when all attractors in a system arc nonchaotic. In this paper, the validity of inferences made using the stochastic interrogation experimental method is checked with the aid of a numerical model, using theoretical predictions from Melnikov theory and direct computations of invariant manifolds.

Original languageEnglish (US)
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages139-157
Number of pages19
ISBN (Electronic)9780791817186
DOIs
StatePublished - 1995
EventASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States
Duration: Sep 17 1995Sep 20 1995

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume3A-1995

Conference

ConferenceASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
CountryUnited States
CityBoston
Period9/17/959/20/95

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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