Blow-Up Method for Linearizability of Resonant Differential Systems
In this paper linearizability of a p : −q resonant system with quadratic nonlinearities is studied. First we describe a method to compute the necessary conditions for linearizability based on blow–up transformation. Using the method we compute necessary conditions for a family of 1 : −3 resonant sys...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/464752 |
| Acceso en línea: | https://doi.org/10.1142/S0218127423501006 https://hdl.handle.net/10459.1/464752 |
| Access Level: | acceso abierto |
| Palabra clave: | Linearizability problem Linearizability quantities Blow-up transformation Darboux linearization theory p:−q resonant system |
| Sumario: | In this paper linearizability of a p : −q resonant system with quadratic nonlinearities is studied. First we describe a method to compute the necessary conditions for linearizability based on blow–up transformation. Using the method we compute necessary conditions for a family of 1 : −3 resonant systems. The sufficiency of the obtained conditions is proven either by the Darboux linearization method or using the recursive procedure after blow–up transformation. |
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