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On the synchronization of chains of nonlinear pendula connected by linear springs

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Abstract

In this work the theoretical model of multidimensional physical systems, representable as chains of nonlinearly coupled chaotic pendula subjected to harmonic excitations, is formulated and its nonlinear dynamics and synchronization characteristics are studied by means of a numerical approach. Some considerations on the role of the main system parameters are drawn. Dynamic perturbations, due for example to background interactions or to intrinsic pathological imperfections of the chain, are also taken into account. Their effect is analyzed with reference to two distinct situations: uniform application to all the pendula and localized application to the extremities of the chain.

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Authors and Affiliations

  1. Department of Civil and Buildings Engineering, and Architecture, Polytechnic University of Marche, Ancona, Italy

    L. Marcheggiani & S. Lenci

  2. Department of Applied Physics, Faculty of Industrial Engineering, University of Extremadura, Badajoz, Spain

    R. Chacón

Authors
  1. L. Marcheggiani
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  2. R. Chacón
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  3. S. Lenci
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Correspondence to S. Lenci.

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Marcheggiani, L., Chacón, R. & Lenci, S. On the synchronization of chains of nonlinear pendula connected by linear springs. Eur. Phys. J. Spec. Top. 223, 729–756 (2014). https://doi.org/10.1140/epjst/e2014-02138-6

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  • DOI: https://doi.org/10.1140/epjst/e2014-02138-6

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