205 citations · 456 across the 20 of their papers we have counts for
22 papers
Bayesian Basin Tracking: Efficient Global Continuation of Multistable Dynamical Systems
Pedro Haerter, Alexandre Wagemakers, Alvar Daza +1
Mapping the global phase space of high-dimensional multistable dynamical systems is computationally prohibitive because conventional approaches require extensive numerical integrat…
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…
Chaotic dynamics creates and destroys branched flow
Alexandre Wagemakers, Aleksi Hartikainen, Alvar Daza +2
The phenomenon of branched flow, visualized as a chaotic arborescent pattern of propagating particles, waves, or rays, has been identified in disparate physical systems ranging fro…
Framework for global stability analysis of dynamical systems
George Datseris, Kalel Luiz Rossi, Alexandre Wagemakers
Dynamical systems, that are used to model power grids, the brain, and other physical systems, can exhibit coexisting stable states known as attractors. A powerful tool to understan…
Using the basin entropy to explore bifurcations
Alexandre Wagemakers, Alvar Daza, Miguel A. F. Sanjuán
Bifurcation theory is the usual analytic approach to study the parameter space of a dynamical system. Despite the great power of prediction of these techniques, fundamental limitat…
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…
A test for fractal boundaries based on the basin entropy
Andreu Puy, Alvar Daza, Alexandre Wagemakers +1
In dynamical systems, basins of attraction connect a given set of initial conditions in phase space to their asymptotic states. The basin entropy and related tools quantify the unp…
Classifying basins of attraction using the basin entropy
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
A basin of attraction represents the set of initial conditions leading to a specific asymptotic state of a given dynamical system. Here, we provide a classification of the most com…
Effortless estimation of basins of attraction
George Datseris, Alexandre Wagemakers
We present a fully automated method that identifies attractors and their basins of attraction without approximations of the dynamics. The method works by defining a finite state ma…
How to detect Wada Basins
Alexandre Wagemakers, Alvar Daza, Miguel A. F. Sanjuan
We present a review of the different techniques available to study a special kind of fractal basins of attraction known as Wada basins, which have the intriguing property of having…
Optimization of Chaos-based Coded Modulations for Compensation of Amplifier Nonlinearities
Francisco J. Escribano, José Sáez-Landete, Alexandre Wagemakers
In this work we expand the possibilities of a known class of chaos-based coded modulation (CCM) systems to address the problem of high-power amplifier (HPA) nonlinearity. The hypot…
A Spatial Time-Frequency Hopping Index Modulated Scheme in Turbulence-free Optical Wireless Communication Channels
Francisco J. Escribano, Alexandre Wagemakers, Georges Kaddoum +1
In this article, we propose an index modulation system suitable for optical communications, where the intensity of the light is modulated along the time, space and frequency dimens…
Chaos-Based Multicarrier VLC Modulator With Compensation of LED Nonlinearity
Francisco J. Escribano, José Sáez-Landete, Alexandre Wagemakers
The massive deployment of light-emitting diode (LED) lightning infrastructure has opened the opportunity to reuse it as visible light communication (VLC) to leverage the current RF…
Performance Analysis of QAM-MPPM in Turbulence-Free FSO Channels: Accurate Derivations and Practical Approximations
Francisco J. Escribano, Alexandre Wagemakers
Following the trends of index modulated (IM) techniques for optical communications, in the last few years several new waveform proposals have been made, aiming at conveying a highe…
Design and Performance Analysis of an Index Time Frequency Modulation Scheme for Optical Communications
Francisco J. Escribano, Alexandre Wagemakers, Georges Kaddoum +1
In this article, we propose an index modulation system suitable for optical communications, based on jointly driving the time and frequency of the signal: an index-time frequency h…
The saddle-straddle method to test for Wada basins
Alexandre Wagemakers, Alvar Daza, Miguel A. F. Sanjuán
First conceived as a topological construction, Wada basins abound in dynamical systems. Basins of attraction showing the Wada property possess the particular feature that any small…
Reducing the number of time delays in coupled dynamical systems
Alexandre Wagemakers, Javier Used, Miguel A. F. Sanjuán
When several dynamical systems interact, the transmission of the information between them necessarily implies a time delay. When the time delay is not negligible, the study of the…
Ascertaining when a basin is Wada: the merging method
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins. Here, we…
A new method to reduce the number of time delays in a network
Alexandre Wagemakers, Miguel A. F. Sanjuán
Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can behave unexpectedly when the signal between…
Chaotic dynamics and fractal structures in experiments with cold atoms
Alvar Daza, Bertrand Georgeot, David Guéry-Odelin +2
We use tools from nonlinear dynamics to the detailed analysis of cold atom experiments. A powerful example is provided by the recent concept of basin entropy which allows to quanti…
Wada property in systems with delay
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
Delay differential equations take into account the transmission time of the information. These delayed signals may turn a predictable system into chaotic, with the usual fractaliza…
Basin entropy: a new tool to analyze uncertainty in dynamical systems
Alvar Daza, Alexandre Wagemakers, Bertrand Georgeot +2
In nonlinear dynamics, basins of attraction link a given set of initial conditions to its corresponding final states. This notion appears in a broad range of applications where sev…