Artículo
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
Autor/es | Llibre Saló, Jaume
Ordóñez Cabrera, Manuel Hilario Ponce Núñez, Enrique |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2013-10 |
Fecha de depósito | 2016-12-09 |
Publicado en |
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Resumen | Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems. New results are obtained for systems with ... Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems. New results are obtained for systems with three linearity zones without symmetry and having one equilibrium point in the central region. We also revisit the case of systems with only two linear zones giving shorter proofs of known results. |
Identificador del proyecto | MTM2008–03437
2009SGR-410 ECO2010-17766 MTM2009–07849 P08-FQM-03770 |
Cita | Llibre Saló, J., Ordóñez Cabrera, M.H. y Ponce Núñez, E. (2013). On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. Nonlinear Analysis: Real World Applications, 14 (5), 2002-2012. |
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