1 citations · 2 across the 11 of their papers we have counts for
17 papers
Numerical Computation of Quasiperiodic Reducible Saddle-Node Bifurcations: a Parameterization Method Approach
Jordi-Lluís Figueras, Joan Gimeno, Jeremy P. Parker
We present a method for computing reducible, normally hyperbolic, invariant tori with internal quasiperiodic dynamics in autonomous ordinary differential equation systems. The appr…
Extended Kalman Filtering on Stiefel Manifolds
Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari
A generalisation of the extended Kalman filter for Stiefel manifold-valued measurements is presented. We provide simulations on the 2-sphere and the space of orthogonal 4-by-2 matr…
On the Convergence of the Extended Kalman Filter on Stiefel Manifolds when Observing a Constant Particle with Measurement Errors
Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari
In this paper we first introduce the setting of filtering on Stiefel manifolds. Then, assuming the underlying system process is constant, the convergence of the extended Kalman fil…
Autoregressive Processes on Stiefel and Grassmann Manifolds
Jordi-Lluís Figueras, Aron Persson
System identification of autoregressive processes on Stiefel and Grassmann manifolds are presented and studied. We define the system parameters as elements in the orthogonal group…
On parameter estimation for based on projected data into
Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari
We consider the projected normal distribution, with isotropic variance, on the 2-sphere using intrinsic statistics. We show that in this case, the expectation commutes with the pro…
Computer Validation of Open Gaps for the Almost Mathieu Operator with Critical Coupling
Jordi-Lluís Figueras, Joaquim Puig
We present some computer assisted methods to prove the existence of spectral gaps for the Almost Mathieu operator at critical coupling and give rigorous numerical estimates on thei…