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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1763| Maximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions | |
| EDGAR CRISTIAN DIAZ GONZALEZ JORGE ANTONIO LOPEZ RENTERIA Eric Campos Cantón BALTAZAR AGUIRRE HERNANDEZ | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1007/s00332-016-9321-x | |
| Unstable dissipative systems Switching systems Chaotic systems Linear control systems | |
| "In this paper, we present families of piecewise linear systems which are controlled by a continuous piecewise monoparametric control function for the generation of monoparametric families of multi-scroll attractors. Thus, the maximum range of values that the parameter set can take in order to preserve the useful dynamics for generating of multi-scroll attractors is found and it will be called maximal robust dynamics interval. This class of dynamical systems is the result of combining two or more unstable “one-spiral” trajectories. We give necessary and sufficient conditions in order to preserve multi-scroll attractors in terms of a parameter, i.e., a family of multi-scroll attractors is generated by means of a family of switching systems with multiple monoparametric companion matrices. Lastly, we provide an example to show how the developed theory works." | |
| Springer | |
| 2016 | |
| Artículo | |
| Díaz-González, E.C., López-Rentería, JA., Campos-Cantón, E. et al. J Nonlinear Sci (2016) 26: 1833. https://doi.org/10.1007/s00332-016-9321-x | |
| MATEMÁTICAS | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Control y Sistemas Dinámicos |
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