Artículo
Existence of homoclinic connections in continuous piecewise linear systems
Autor/es | Carmona Centeno, Victoriano
Fernández Sánchez, Fernando García Medina, Elisabeth Teruel Aguilar, Antonio Esteban |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2010-03 |
Fecha de depósito | 2024-02-29 |
Publicado en |
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Resumen | Numerical methods are often used to put in evidence the existence of global connections in differential systems. The principal reason is that the corresponding analytical proofs are usually very complicated. In this work ... Numerical methods are often used to put in evidence the existence of global connections in differential systems. The principal reason is that the corresponding analytical proofs are usually very complicated. In this work we give an analytical proof of the existence of a pair of homoclinic connections in a continuous piecewise linear system, which can be considered to be a version of the widely studied Michelson system. Although the computations developed in this proof are specific to the system, the techniques can be extended to other piecewise linear systems. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Identificador del proyecto | MTM2006-00847
MTM2007-64193 TIC-0130 EXC/2005/FQM872 P08-FQM-03770 MTM2009-07849 MTM2005-06098-C02-1 UIB2005/6 CEH-064864 |
Cita | Carmona Centeno, V., Fernández Sánchez, F., García Medina, E. y Teruel Aguilar, A.E. (2010). Existence of homoclinic connections in continuous piecewise linear systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(1) (013124), 013124-1-013124-8. https://doi.org/10.1063/1.3339819. |
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