Theoretical and numerical validation of the stochastic interrogation experimental method

Bart W. Kimble, Joseph Paul Cusumano

Research output: Contribution to journalArticle

3 Citations (Scopus)

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)
Pages (from-to)323-348
Number of pages26
JournalJVC/Journal of Vibration and Control
Volume2
Issue number3
DOIs
StatePublished - Jan 1 1996

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Numerical models
Dynamical systems
Trajectories

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Automotive Engineering
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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

In: JVC/Journal of Vibration and Control, Vol. 2, No. 3, 01.01.1996, p. 323-348.

Research output: Contribution to journalArticle

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