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The European Physical Journal Special Topics

, Volume 223, Issue 4, pp 729–756 | Cite as

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

Regular Article
Part of the following topical collections:
  1. Synchronization of Pendula Systems

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.

Keywords

Lyapunov Exponent European Physical Journal Special Topic Chaotic Attractor Complete Synchronization Vertical Excitation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  1. 1.Department of Civil and Buildings Engineering, and ArchitecturePolytechnic University of MarcheAnconaItaly
  2. 2.Department of Applied Physics, Faculty of Industrial EngineeringUniversity of ExtremaduraBadajozSpain

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