arXiv subjects

Manuel Tejada-Wriedt

Publications and source records attributed to Manuel Tejada-Wriedt.

2 recordsLinked to original sources

arXiv2018

Nonlinear Vibrations in the Fullerene Molecule $C_{60}$

In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove the existence of global branches of periodic solutions emerging from an icosahedral equilibrium (nonlinear normal modes). We also determine the symmetric properties of the branches of nonlinear normal modes for maximal orbit types. We find several solutions which are standing and rotating waves that propagate along the molecule with icosahedral, tetrahedral, pentagonal and triangular symmetries. We complement our theoretical results with numerical computations using Newton's method.

math.DS↗

arXiv2016

Molecular chains interacting by Lennard-Jones and Coulomb forces

We study equations for the mechanical movement of chains of identical particles in the plane interacting with their nearest-neighbors by bond stretching and by van der Waals and Coulomb forces. We find collinear and circular equilibria as minimizers of the energy potential for chains with Neumann and periodic boundary conditions. We prove global bifurcation of periodic brake orbits from these equilibria applying the global Rabinowitz alternative. These results are complemented with numeric computations for ranges of parameters that include carbon atoms among other molecules.

math.DS↗