Energy distribution in intrinsically coupled systems: The spring pendulum paradigm

Autor(es)

de Sousa, M. C. ^[1] ; Marcus, F. A. ^{[2, 3]} ; Caldas, I. L. ^[1] ; Viana, R. L. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Phys, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Fed Parana, Dept Phys, CP 19044, BR-81531990 Curitiba, Parana - Brazil

^[3] Technol Inst Aeronaut, Dept Phys, BR-12228900 Sao Jose Dos Campos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 509, p. 1110-1119, NOV 1 2018.
• Citações Web of Science: 0

Resumo

Intrinsically nonlinear coupled systems present different oscillating components that exchange energy among themselves. We present a new approach to deal with such energy exchanges and to investigate how it depends on the system control parameters. The method consists in writing the total energy of the system, and properly identifying the energy terms for each component and, especially, their coupling. To illustrate the proposed approach, we work with the bi-dimensional spring pendulum, which is a paradigm to study nonlinear coupled systems, and is used as a model for several systems. For the spring pendulum, we identify three energy components, resembling the spring and pendulum like motions, and the coupling between them. With these analytical expressions, we analyze the energy exchange for individual trajectories, and we also obtain global characteristics of the spring pendulum energy distribution by calculating spatial and time average energy components for a great number of trajectories (periodic, quasi-periodic and chaotic) throughout the phase space. Considering an energy term due to the nonlinear coupling, we identify regions in the parameter space that correspond to strong and weak coupling. The presented procedure can be applied to nonlinear coupled systems to reveal how the coupling mediates internal energy exchanges, and how the energy distribution varies according to the system parameters. (C) 2018 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/05186-0 - Bifurcações e controle de caos na interação onda-partícula
• Beneficiário: Meirielen Caetano de Sousa
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Linha de fomento: Auxílio à Pesquisa - Temático