CONTINUOUS CELL-TO-CELL MAPPING

CONTINUOUS CELL-TO-CELL MAPPING

The cell-to-cell mapping technique (CCMT) is a numerical technique for the global analysis of non-linear dynamic systems and models system evolution as a Markov chain in discrete time. The computational feasibility of a continuous time version of CCMT is investigated using the van der Pol oscillator...

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Veröffentlicht in:Journal of sound and vibration 1997-05, Vol.202 (3), p.395-415
Hauptverfasser: Tombuyses, B., Aldemir, T.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geometry, differential geometry, and topology
Global analysis and analysis on manifolds
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
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container_title Journal of sound and vibration
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creator Tombuyses, B.
Aldemir, T.
description The cell-to-cell mapping technique (CCMT) is a numerical technique for the global analysis of non-linear dynamic systems and models system evolution as a Markov chain in discrete time. The computational feasibility of a continuous time version of CCMT is investigated using the van der Pol oscillator. The results show that while the continuous CCMT leads to large amount of computational time in the validation of the results with respect to the conventional CCMT, convergence to the asymptotic solution can be very slow. In these respect, the continuous CCMT approach is expected to be most effective as a scoping tool to determine the approximate location of the attractors.
doi_str_mv 10.1006/jsvi.1996.0835
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source ScienceDirect Journals (5 years ago - present)
subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geometry, differential geometry, and topology
Global analysis and analysis on manifolds
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
title CONTINUOUS CELL-TO-CELL MAPPING
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