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2013 | OriginalPaper | Chapter

Practical Stability of Rotating Solutions in a Parametrically Excited Experimental Pendulum via Dynamical Integrity Concepts

Authors : Stefano Lenci, William Luzi, Enrico Venturi, Giuseppe Rega

Published in: IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Publisher: Springer Netherlands

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Abstract

This paper aims at showing how global safety can be used to interpret experimental results of a parametrically excited pendulum. The experimental investigation shows that rotations exist in a region smaller than the theoretical one, a discrepancy which has deeper motivations than the sole experimental approximations. By comparing the experimental results with the dynamical integrity profiles we understand that rotations exist only where a measure of dynamical integrity, accounting for both attractor robustness and basin compactness, is enough large to support experimental imperfections leading to changes in initial conditions.

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Metadata
Title
Practical Stability of Rotating Solutions in a Parametrically Excited Experimental Pendulum via Dynamical Integrity Concepts
Authors
Stefano Lenci
William Luzi
Enrico Venturi
Giuseppe Rega
Copyright Year
2013
Publisher
Springer Netherlands
Book
IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Print ISBN: 978-94-007-5741-7

Electronic ISBN: 978-94-007-5742-4

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-94-007-5742-4_14

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