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Computation of the Basins of Attraction in Non-smooth Dynamical Systems

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IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Part of the book series: IUTAM Bookseries (closed) ((IUTAMBOOK,volume 32))

Abstract

The paper discusses several issues related to the numerical computation of the stable manifold of saddle-like periodic cycles in piecewise smooth dynamical systems. Results are presented for a particular stick–slip system. In the second part of the paper the same mechanical model is used to briefly describe the interaction between fold and adding-sliding bifurcations.

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Author information

Authors and Affiliations

  1. Department of Structural and Transportation Engineering, University of Padua, 35131, Padova, Italy

    Ugo Galvanetto

  2. Department of Electronics and Information, Politecnico di Milano, 22100, Como, Italy

    Alessandro Colombo

Authors
  1. Ugo Galvanetto
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  2. Alessandro Colombo
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Corresponding author

Correspondence to Ugo Galvanetto .

Editor information

Editors and Affiliations

  1. College of Physical Sciences, Department of Engineering, Centre for, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom

    Marian Wiercigroch

  2. Structural and Geotechnical Engineering, Sapienza University of Rome, Via A. Gramsci 53, Roma, 00197, Italy

    Giuseppe Rega

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Galvanetto, U., Colombo, A. (2013). Computation of the Basins of Attraction in Non-smooth Dynamical Systems. In: Wiercigroch, M., Rega, G. (eds) IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design. IUTAM Bookseries (closed), vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5742-4_2

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  • DOI: https://doi.org/10.1007/978-94-007-5742-4_2

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5741-7

  • Online ISBN: 978-94-007-5742-4

  • eBook Packages: EngineeringEngineering (R0)

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