Numerical methods for solving Ordinary Differential Equations (ODEs) have received considerable attention in recent years. In this paper a piecewise-linearized algorithm based on Krylov subspaces for solving Initial Value ...

[EN] In this thesis, we consider two problems: we first explore the application of visibility graphs for describing the orbits of a discrete dynamical system that is governed by a fractional version of the logistic equation. ...

[EN] In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation ...

[EN] The Skew-Products are maps of a product space over himself. This maps are defined using operators and maps that fix the probability of sorne elements of a prefix sigma-algebra (the so call ergodic maps). Our purpose ...

[EN]  In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups. There are several results ...

[EN] The solutions of the equations of motion for a point mass particle under a conservative force field are generally constrained by a basic set of integrals of motion, which depend on the knowledge about the potential ...

[EN] Normally, classroom problems are solved using over-simplified models which allow to obtain the solution manually. However, these problems are addressed in the industry with very sophisticated software packages that ...