Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Synchronization and chimera state in a mechanical pendulum-chart system
Submission Author:
Phablo Ramos Carvalho , RJ
Co-Authors:
Phablo Ramos Carvalho, Marcelo Savi
Presenter: Phablo Ramos Carvalho
doi://10.26678/ABCM.COBEM2019.COB2019-0648
Abstract
Synchronization phenomenon appears in many natural systems including physical, chemical and biological processes. In brief, synchronization may be understood as a harmonization of two or more system behaviors following some common pattern. Synchronized patterns depend of the dynamical characteristics of the system and, among these possibilities, there is the chimera state that consists in a symmetry break in the behavior of identical oscillator network. This paper deals with synchronization analysis of a mechanical pendulum-chart system composed by an hierarchical network of three pendula coupled to each other through their own chart that receive continuous supply of energy via a base excitation. Equations of motions are established and numerical simulations carried out considering the Runge-Kutta fourth order method. In this work Some patterns are classified and investigated in order to understand the necessary conditions to each pattern and to describe the result of a hyperchaotic chimera state. Results indicate that there are not any direct relation between the periodicity and non-periodicity with the patterns formed.
Keywords
synchronization, Chimera state, Mechanical System, mechanical oscillator
