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nlin.CD2024★ 3 cited
Using Lagrangian descriptors to calculate the Maslov index of periodic orbits
J. Montes, F. J. Arranz, F. Borondo
The Maslov index of a periodic orbit is an important piece in the semiclassical quantization of non-integrable systems, while almost all existing techniques that lead to a rigorous…
nlin.CD2024★ 2 cited
Order-chaos transition in correlation diagrams and quantization of period orbits
F. J. Arranz, J. Montes, F. Borondo
Eigenlevel correlation diagrams has proven to be a very useful tool to understand eigenstate characteristics of classically chaotic systems. In particular, we showed in a previous…
nlin.CD2021★ 8 cited
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…