1.2k citations · 1.2k across the 8 of their papers we have counts for
8 papers
A unifying framework for perturbative exponential factorizations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds…
Efficient numerical integration of neutrino oscillations in matter
Fernando Casas, Jose Angel Oteo, Juan Carlos D'Olivo
A special purpose solver, based on the Magnus expansion, well suited for the integration of the linear three neutrino oscillations equations in matter is proposed. The computations…
One pendulum to run them all
Gabriela Barenboim, J. A. Oteo
The analytical solution of the three--dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in t…
Families of piecewise linear maps with constant Lyapunov exponent
V. Botella-Soler, J. A. Oteo, J. Ros +1
We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Ly…
Coexistence of periods in a bisecting bifurcation
V. Botella-Soler, J. A. Oteo, J. Ros
The inner structure of the attractor appearing when the Varley-Gradwell-Hassell population model bifurcates from regular to chaotic behaviour is studied. By algebraic and geometric…
Bifurcations in the Lozi map
V. Botella-Soler, J. M. Castelo, J. A. Oteo +1
We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable l…
Dynamics of a map with power-law tail
V. Botella-Soler, J. A. Oteo, J. Ros
We analyze a one-dimensional piecewise continuous discrete model proposed originally in studies on population ecology. The map is composed of a linear part and a power-law decreasi…
The Magnus expansion and some of its applications
S. Blanes, F. Casas, J. A. Oteo +1
Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging…