42 citations · 72 across the 6 of their papers we have counts for
6 papers
Generalized TCP-RED dynamical model for Internet congestion control
José M. Amigó, Guillem Duran, Angel Giménez +2
Adaptive management of traffic congestion in the Internet is a complex problem that can gain useful insights from a dynamical approach. In this paper we propose and analyze a one-d…
A simplified algorithm for the topological entropy of multimodal maps
José M. Amigó, Angel Giménez
A numerical algorithm to compute the topological entropy of multimodal maps is proposed. This algorithm results from a closed formula containing the so-called min-max symbols, whic…
Integrability aspects of the vortex filament equation for pseudo-null curves
José del Amor, Ángel Giménez, Pascual Lucas
An algebraic background in order to study the integrability properties of pseudo-null curve motions in a -dimensional Lorentzian space form is developed. As an application we de…
A Lie algebra structure on variation vector fields along curves in -dimensional space forms
José del Amor, Ángel Giménez, Pascual Lucas
A Lie algebra structure on variation vector fields along an immersed curve in a -dimensional real space form is investigated. This Lie algebra particularized to plane curves is…
A closed formula for the topological entropy of multimodal maps based on min-max symbols
Jose M. Amigo, Angel Gimenez
Topological entropy is a measure of complex dynamics. In this regard, multimodal maps play an important role when it comes to study low-dimensional chaotic dynamics or explain some…
Geometrical particle models on 3D null curves
Angel Ferrandez, Angel Gimenez, Pascual Lucas
The simplest (2+1)-dimensional mechanical systems associated with light-like curves, already studied by Nersessian and Ramos, are reconsidered. The action is linear in the curvatur…