122 citations · 208 across the 9 of their papers we have counts for
9 papers
Taming chaos to sample rare events: the effect of weak chaos
Jorge C. Leitao, Joao M. V. P. Lopes, Eduardo G. Altmann
Rare events in non-linear dynamical systems are difficult to sample because of the sensitivity to perturbations of initial conditions and of complex landscapes in phase space. Here…
Importance-sampling computation of statistical properties of coupled oscillators
Shamik Gupta, Jorge C. Leitao, Eduardo G. Altmann
We introduce and implement an importance-sampling Monte Carlo algorithm to study systems of globally-coupled oscillators. Our computational method efficiently obtains estimates of…
Importance Sampling of Rare Events in Chaotic Systems
Jorge C. Leitao, Joao M. Viana Parente Lopes, Eduardo G. Altmann
Finding and sampling rare trajectories in dynamical systems is a difficult computational task underlying numerous problems and applications. In this paper we show how to construct…
Searching chaotic saddles in high dimensions
M. Sala, J. C. Leitao, E. G. Altmann
We propose new methods to numerically approximate non-attracting sets governing transiently-chaotic systems. Trajectories starting in a vicinity of these sets escape in a f…
Is this scaling nonlinear?
J. C. Leitao, J. M. Miotto, M. Gerlach +1
One of the most celebrated findings in complex systems in the last decade is that different indexes y (e.g., patents) scale nonlinearly with the population~x of the cities in which…
Sampling motif-constrained ensembles of networks
Rico Fischer, Jorge C. Leitao, Tiago P. Peixoto +1
The statistical significance of network properties is conditioned on null models which satisfy spec- ified properties but that are otherwise random. Exponential random graph models…
Efficiency of Monte Carlo Sampling in Chaotic Systems
Jorge C. Leitão, Eduardo G. Altmann, J. M. Viana Parente Lopes
In this paper we investigate how the complexity of chaotic phase spaces affect the efficiency of importance sampling Monte Carlo simulations. We focus on a flat-histogram simulatio…
Monte Carlo Sampling in Fractal Landscapes
Jorge C. Leitão, João M. Viana Parente Lopes, Eduardo G. Altmann
We propose a flat-histogram Monte Carlo method to efficiently sample fractal landscapes such as escape time functions of open chaotic systems. This is achieved by using a random-wa…
Effect of noise in open chaotic billiards
Eduardo G. Altmann, Jorge C. Leitão, João Viana Lopes
We investigate the effect of white-noise perturbations on chaotic trajectories in open billiards. We focus on the temporal decay of the survival probability for generic mixed-phase…