228 citations
- Universidad Rey Juan CarlosES23 papers
- Center for Physical Sciences and TechnologyLT6 papers
- University of Maryland, College ParkUS4 papers
- Stanford UniversityUS3 papers
- Warsaw University of TechnologyPL3 papers
- Australian National UniversityAU2 papers
- Harvard UniversityUS2 papers
- Humboldt-Universität zu BerlinDE2 papers
- Institut de Sciences des Matériaux de MulhouseFR2 papers
- RMIT UniversityAU2 papers
- University of Colorado BoulderUS2 papers
- University of PisaIT2 papers
14 papers · 1 filter
Characterization of Fractal Basins Using Deep Convolutional Neural Networks
David Valle, Alexandre Wagemakers, Alvar Daza +1
Neural network models have recently demonstrated impressive prediction performance in complex systems where chaos and unpredictability appear. In spite of the research efforts carr…
Period-doubling bifurcations and islets of stability in two-degree-of-freedom Hamiltonian systems
Alexandre R. Nieto, Jesús M. Seoane, Miguel A. F. Sanjuán
In this paper, we show that the destruction of the main KAM islands in two-degree-of-freedom Hamiltonian systems occurs through a cascade of period-doubling bifurcations. We calcul…
Bifurcations and transition to chaos in generalized fractional maps of the orders 0 < alpha < 1
Mark Edelman, Avigayil B. Helman, Rasa Smidtaite
Generalized fractional maps of the orders 0 < alpha < 1 are Volterra difference equations of convolution type with kernels, which differences are absolutely summable, but the serie…
Unpredictability and basin entropy
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
The basin entropy is a simple idea that aims to measure the the final state unpredictability of multistable systems. Since 2016, the basin entropy has been widely used in different…
Fractional damping effects on the transient dynamics of the Duffing oscillator
Mattia Coccolo, Jesús M. Seoane, Stefano Lenci +1
We consider the nonlinear Duffing oscillator in presence of fractional damping which is characteristic in different physical situations. The system is studied with a smaller and la…
Weak dissipation drives and enhances Wada basins in three-dimensional chaotic scattering
Diego S. Fernández, Jesús M. Seoane, Miguel A. F. Sanjuán
Chaotic scattering in three dimensions has not received as much attention as in two dimensions so far. In this paper, we deal with a three-dimensional open Hamiltonian system whose…