260 citations · 3k across the 65 of their papers we have counts for
23 papers · 1 filter
Fractals in rate-induced tipping
Jason Qianchuan Wang, Yi Zheng, Eduardo G. Altmann
When parameters of a dynamical system change sufficiently fast, critical transitions can take place even in the absence of bifurcations. This phenomenon is known as rate-induced ti…
Structure of resonance eigenfunctions for chaotic systems with partial escape
Konstantin Clauß, Eduardo G. Altmann, Arnd Bäcker +1
Physical systems are often neither completely closed nor completely open, but instead they are best described by dynamical systems with partial escape or absorption. In this paper…
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…
Characterizing Weak Chaos using Time Series of Lyapunov Exponents
R. M. da Silva, C. Manchein, M. W. Beims +1
We investigate chaos in mixed-phase-space Hamiltonian systems using time series of the finite- time Lyapunov exponents. The methodology we propose uses the number of Lyapunov expon…