activity
19962023
most citedThe Weyl representation on the torus

72 citations · 386 across the 30 of their papers we have counts for

collaborators
Showing nlin.CDShow all

5 papers · 1 filter

nlin.CD2023★ 5 cited

Isochronous bifurcations in a two-parameter twist map

Michele Mugnaine, Bruno B. Leal, Alfredo M. Ozorio de Almeida +2

Isochronous islands in phase space emerge in twist Hamiltonian systems as a response to multiple resonant perturbations. According to the Poincaré-Birkhoff theorem, the number of i…

nlin.CD2007

Quantum Baker Maps for Spiraling Chaotic Motion

Pedro R. del Santoro, Raul O. Vallejos, Alfredo M. Ozorio de Almeida

We define a coupling of two baker maps through a pi/2 rotation both in position and in momentum. The classical trajectories thus exhibit spiraling, or loxodromic motion, which is o…

nlin.CD2007★ 2 cited

Periodic orbit bifurcations and scattering time delay fluctuations

J. P. Keating, A. M. Ozorio de Almeida, S. D. Prado +2

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the ti…

nlin.CD2001★ 13 cited

Hyperbolic Scar Patterns in Phase Space

Alejandro M. F. Rivas, Alfredo M. Ozorio de Almeida

We develop a semiclassical approximation for the spectral Wigner and Husimi functions in the neighbourhood of a classically unstable periodic orbit of chaotic two dimensional maps.…

nlin.CD2000★ 11 cited

Scars of the Wigner function

Fabricio Toscano, Marcus A. M. de Aguiar, Alfredo M. Ozorio de Almeida

We propose a picture of Wigner function scars as a sequence of concentric rings along a two-dimensional surface inside a periodic orbit. This is verified for a two-dimensional plan…