Jaume Llibre

On the invariant sphere theorem with emphasis in the round sphere S n $\mathbb S^n$ double struck upper S Superscript n

Abstract This article discusses vector fields in R n $\mathbb R^n$ double struck upper R Superscript n , n ≥ 3 $n \geq 3$ n greater than or equals 3 , that can be written as the sum of a radial repelling vector field and an attracting nonlinear homogeneous vector field of odd deg...

Dynamics at Infinity and on Invariant Algebraic Surfaces of a Generalized Lorenz-Type System

In this paper, we investigate the global dynamics of a generalized Lorenz-type system. We determine the phase portrait at infinity under the Poincaré compactification in [Formula: see text]. Moreover, we analyze the dynamics restricted to invariant algebraic surfaces and provide...