1.2k citations · 1.2k across the 5 of their papers we have counts for
5 papers
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…