Dynamics of a Switched by Hysteresis Linear System in R2
This paper examines the local and global behavior of a two-variable piece-wise smooth dynamic system by studying the flow of two non- homogeneous linear dynamic systems that switch on the boundaries of a hysteresis band. Both equilibrium solutions and parametric domains that guarantee the existence...
- Autores:
-
Cerón, Jhon
Amador, Jorge
Olivar, Gerard
- Tipo de recurso:
- Fecha de publicación:
- 2017
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/13169
- Acceso en línea:
- http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014
http://hdl.handle.net/10784/13169
- Palabra clave:
- Hysteresis
Periodic orbit
Piece-wise dynamic systems
Basins of attraction
Histéresis
Órbita periódica
Sistemas dinámicos suaves a trozos
Dominios de atracción
- Rights
- License
- Copyright (c) 2017 Jhon Ceron, Jorge Amador, Gerard Olivar
| Summary: | This paper examines the local and global behavior of a two-variable piece-wise smooth dynamic system by studying the flow of two non- homogeneous linear dynamic systems that switch on the boundaries of a hysteresis band. Both equilibrium solutions and parametric domains that guarantee the existence of periodic orbits within the band, were determined analytically. While, phase portraits and basins of attraction of the system for different values of the parameters were performed through numerical simulations. Results show the coexistence of multiple stationary states of different types when different parameter values are used. |
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