79 citations · 829 across the 54 of their papers we have counts for
7 papers · 1 filter
Lagrangian descriptors for the Bunimovich stadium billiard
Gabriel G. Carlo, J. Montes, F. Borondo
We apply the concept of Lagrangian descriptors to the dynamics on the Bunimovich stadium billiard, a 2D ergodic system with singular families of trajectories, namely, the bouncing…
Lagrangian descriptors for open maps
Gabriel G. Carlo, F. Borondo
We adapt the concept of Lagrangian descriptors, which have been recently introduced as efficient indicators of phase space structures in chaotic systems, to unveil the key features…
Symbolic walk in regular networks
L. Ermann, G. G. Carlo
We find that a symbolic walk (performed by a walker with memory given by a Bernoulli shift) is able to distinguish between the random or chaotic topology of a given network. We sho…
Transfer Matrices and Circuit Representation for the Semiclassical Traces of the Baker Map
Romulo F. Abreu, Raul O. Vallejos, Gabriel G. Carlo
Because of a formal equivalence with the partition function of an Ising chain, the semiclassical traces of the quantum baker map can be calculated using the transfer-matrix method.…
Quantum chaotic resonances from short periodic orbits
M. Novaes, J. M. Pedrosa, D. Wisniacki +2
We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical…
Evanescent wave approach to diffractive phenomena in convex billiards with corners
Jan Wiersig, Gabriel G. Carlo
What we are going to call in this paper "diffractive phenomena" in billiards is far from being deeply understood. These are sorts of singularities that, for example, some kind of c…