The goal of this paper is to analyze the character of the first Hopf bifurcation (subcritical versus supercritical) that appears in a one-dimensional reaction-diffusion equation with nonlinear boundary conditions of logistic ...

We consider a 1-dimensional reaction-diffusion equation with nonlinear boundary conditions of logistic type with delay. We deal with non-negative solutions and analyze the stability behavior of its unique positive equilibrium ...

A complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper. This characterization generalizes the existing results by allowing the ...

We describe a neural network model of the mouse amygdala and hypothalamus that is able to support competitive interactions between social and grooming behaviors, as well as basic findings about how these behaviors are ...

Abstract : This thesis considers the discontinuous piecewise-smoothsystems in R3 (3D-DPWS systems) that exhibit a single discontinuitysurface, typically at and denoted by . The concept of Filippov'ssolution is used to ...

Este trabalho está relacionado ao estudo de bifurcações e órbitas periódicas de sistemas diferenciais suaves por partes planares em duas e três zonas. Em sistemas com duas zonas, estamos interessados em encontrar uma ...

We consider a quadratic Lienard equation with an unbounded homoclinic loop, which is a solution tending in forward and backward time to a non-hyperbolic equilibrium point located at infinity. Under small time-periodic ...

We consider a quadratic Lienard equation with an unbounded homoclinic loop, which is a solution tending in forward and backward time to a non-hyperbolic equilibrium point located at infinity. Under small time-periodic ...

Incremental equilibrium equations and corresponding boundary conditions for an isotropic, hyperelastic and incompressible material are summarized and then specialized to a form suitable for the analysis of a spherical shell ...