18 citations · 65 across the 10 of their papers we have counts for
11 papers
A Frobenius-type theory for discrete systems
Daniel Reyes, Miguel A. Rodríguez, Piergiulio Tempesta
We develop an approach analogous to classical Frobenius theory for the analysis of singularities of ODEs in the case of discrete dynamical systems. Our methodology is based on the…
The open supersymmetric Haldane-Shastry spin chain and its associated motifs
Jose Carrasco, Federico Finkel, Artemio González-López +1
We study the open version of the su supersymmetric Haldane-Shastry spin chain associated to the extended root system. We first evaluate the model's partition function…
Thermodynamics and criticality of supersymmetric spin chains with long-range interactions
Federico Finkel, Artemio González-López, Iván León +1
We study the thermodynamics and critical behavior of su() supersymmetric spin chains of Haldane-Shastry type with a chemical potential term. We obtain a closed-form expression…
KPZ dynamics from a variational perspective: potential landscape, time behavior, and other issues
Horacio S Wio, Miguel A Rodríguez, R Gallego +2
The deterministic KPZ equation has been recently formulated as a gradient flow, in a nonequilibrium potential (NEP) \[Φ[h(\mathbf{x},t)]=\int\mathrm{d}\mathbf{x}\left[\fracν{2}(\na…
Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
Rutwig Campoamor-Stursberg, Miguel A. Rodríguez, Pavel Winternitz
Ordinary differential equations (ODEs) and ordinary difference systems (OSs) invariant under the actions of the Lie groups , and $\mathrm{SL…
On the angle between the first and the second Lyapunov vectors in spatio-temporal chaos
Diego Pazó, Juan M. López, Miguel A. Rodríguez
In a dynamical system the first Lyapunov vector (LV) is associated with the largest Lyapunov exponent and indicates ---at some point on the attractor--- the direction of maximal gr…
Maximizing the statistical diversity of an ensemble of bred vectors by using the geometric norm
Diego Pazó, Miguel A. Rodríguez, Juan M. López
We show that the choice of the norm has a great impact on the construction of ensembles of bred vectors. The geometric norm maximizes (in comparison with other norms like the Eucli…
A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities
Manuel F. Rañada, Miguel A. Rodríguez, Mariano Santander
The superintegrability of a rational harmonic oscillator (non-central harmonic oscillator with rational ratio of frequencies) with non-linear "centrifugal" terms is studied. In the…
Lie discrete symmetries of lattice equations
Decio Levi, Miguel A. Rodríguez
We extend two of the methods previously introduced to find discrete symmetries of differential equations to the case of difference and differential-difference equations. As an exam…
Quasi-exactly Solvable Lie Superalgebras of Differential Operators
Federico Finkel, Artemio González-López, Miguel A. Rodríguez
In this paper, we study Lie superalgebras of matrix-valued first-order differential operators on the complex line. We first completely classify all such superalgebras o…
Lack of Self-affinity and Anomalous Roughening in Growth Processes
Juan M. López, Miguel A. Rodríguez
We contrast analytical results of a variety of growth models involving subdiffusion, thermal noise and quenched disorder with simulations of these models, concluding that the assum…