Theoretical and numerical validation of the stochastic interrogation experimental method

B. W. Kimble, Joseph Paul Cusumano

Research output: Contribution to conferencePaper

Abstract

Stochastic interrogation is an experimental method that uses transient trajectories starting at numerous 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 sets. The existence of these features in turn allows the occurrence of a homoclinic bifurcation to be inferred, even when all attractors in a system are 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)
Pages139-157
Number of pages19
StatePublished - Dec 1 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1
CityBoston, MA, USA
Period9/17/959/20/95

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Numerical models
Dynamical systems
Trajectories

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Kimble, B. W., & Cusumano, J. P. (1995). Theoretical and numerical validation of the stochastic interrogation experimental method. 139-157. Paper presented at Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, .
Kimble, B. W. ; Cusumano, Joseph Paul. / Theoretical and numerical validation of the stochastic interrogation experimental method. Paper presented at Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, .19 p.
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Kimble, BW & Cusumano, JP 1995, 'Theoretical and numerical validation of the stochastic interrogation experimental method', Paper presented at Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, 9/17/95 - 9/20/95 pp. 139-157.

Theoretical and numerical validation of the stochastic interrogation experimental method. / Kimble, B. W.; Cusumano, Joseph Paul.

1995. 139-157 Paper presented at Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, .

Research output: Contribution to conferencePaper

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Kimble BW, Cusumano JP. Theoretical and numerical validation of the stochastic interrogation experimental method. 1995. Paper presented at Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, .