An investigation of synchronization robustness considering randomness and asymmetries

Author:

Carvalho Phablo R.1,Savi Marcelo A.1

Affiliation:

1. Universidade Federal do Rio de Janeiro, COPPE – Department of Mechanical Engineering , Center for Nonlinear Mechanics , 21.941-972 Rio de Janeiro, RJ , Brazil

Abstract

Abstract Synchronization phenomena are related to several natural systems defining patterns of interactions. This paper deals with a synchronization robustness investigation evaluating pattern formation on a network of pendulum-chart oscillators receiving energy from a base excitation. Random aspects are investigated establishing the sensitivity to parameter changes and initial conditions. System asymmetries are analysed allowing the investigation of different kinds of dynamical patterns. Results show that asynchronous regions can change due to random effects. The asynchronous region reduces with the dissipation increase and the chimera state can occur under parametric asymmetry. Energetic argues are employed to explain the pattern robustness with respect to randomness and asymmetries.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

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