Back to Search
Start Over
Energy distribution in intrinsically coupled systems: The spring pendulum paradigm
- Source :
- Physica A: Statistical Mechanics and its Applications. 509:1110-1119
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
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.<br />Submitted for publication
- Subjects :
- Statistics and Probability
Physics
Work (thermodynamics)
Internal energy
Spring pendulum
Pendulum
Classical Physics (physics.class-ph)
FOS: Physical sciences
Physics - Classical Physics
Nonlinear Sciences - Chaotic Dynamics
Condensed Matter Physics
01 natural sciences
Coupling (physics)
Nonlinear system
Phase space
0103 physical sciences
Statistical physics
Chaotic Dynamics (nlin.CD)
010306 general physics
010301 acoustics
Energy (signal processing)
Subjects
Details
- ISSN :
- 03784371
- Volume :
- 509
- Database :
- OpenAIRE
- Journal :
- Physica A: Statistical Mechanics and its Applications
- Accession number :
- edsair.doi.dedup.....407e5ff0d94a255d6f53a55b71b3ed11