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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Energy distribution in intrinsically coupled systems: The spring pendulum paradigm

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Author(s):
de Sousa, M. C. [1] ; Marcus, F. A. [2, 3] ; Caldas, I. L. [1] ; Viana, R. L. [2]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 509, p. 1110-1119, NOV 1 2018.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 15/05186-0 - Bifurcations and control of chaos in wave-particle interactions
Grantee:Meirielen Caetano de Sousa
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support Opportunities: Research Projects - Thematic Grants