[{"command":"settings","settings":{"basePath":"\/educacion\/","pathPrefix":"","ajaxPageState":{"theme":"fa_facned","theme_token":"v0roNst0Qj8s3SJy5u2Vsfd8MoNgYkveuTWJaEJbLgo"}},"merge":true},{"command":"informationProductos","data":{"html":"\u003Cdiv class=\u0022entity entity-productos productos-productos clearfix\u0022\u003E\n\n      \u003Ch2\u003E\n              Lyapunov coefficients for degenerate Hopf bifurcations and an application in a model of competing populations           \u003C\/h2\u003E\n  \n  \u003Cdiv class=\u0022content\u0022\u003E\n    \u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003Efecha de publicaci\u00f3n \u003C\/label\u003E\n 2017-11-01\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003ETipo de producto acad\u00e9mico \u003C\/label\u003E\n Publicaciones de investigaci\u00f3n\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EAutor(es) \u003C\/label\u003E\n Wilmer Libardo Molina Y\u00e9pez, A\u00edda Patricia Gonz\u00e1lez Nieva, -, -\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EDescripcion \u003C\/label\u003E\n This paper focuses on the study of codimension one and two Hopf bifurcations and the pertinent Lyapunov stability coefficients for a general reaction\u2013diffusion system. We display algebraic expressions for the first and second Lyapunov coefficients for the infinite dimensional system subject to Neumann boundary conditions. As an application, a special subset of a three-dimensional Lotka\u2013Volterra dynamical system with diffusions subject to Neumann boundary conditions is analyzed. The main goal is to perform a detailed local stability analysis for the proposed predator\u2013 prey model to show the existence of multiple spatially homogeneous and nonhomogeneous periodic orbits, due to the occurrence of codimension one Hopf bifurcation.\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EDescarga \u003C\/label\u003E\n \u003Ca href=\u0022..\/sites\/default\/files\/JMAA Lyap Coeff.pdf\u0022\u003E \u003Cimg src =\u0022\/educacion\n\/sites\/all\/modules\/custom\/images\/download.png\u0022 width=\u002220\u0022 height=\u002220\u0022\/\u003E\u003C\/a\u003E\n\u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n"}}]