Alexandre Wagemakers

Current Position:

Associate Professor (tenured) at University Rey Juan Carlos
Department of Physics
Madrid Spain

Published Book

Introducción a la teoría de circuitos y máquinas eléctricas

A. Wagemakers and F. J. Escribano

434 pages Editorial Dextra, 2017

Forthcoming Book

132 problemas de física, electricidad y magnetismo

J. Used and A. Wagemakers

Material docente (in preparation)

Open Source Projects and Computer Code

The code behind my research, along with other open source projects, is available on my GitHub page.

I am one of the maintainers of Attractors.jl, a Julia package of the JuliaDynamics organization. It finds the attractors of a dynamical system and their basins of attraction, measures nonlocal stability and performs global continuation of attractors across parameter ranges.

Research

Publications

  1. Pedro Haerter, Alexandre Wagemakers, Alvar Daza, Miguel A. F. Sanjuán. Bayesian basin tracking: efficient global continuation of multistable dynamical systems. Preprint, arXiv:2607.14762, 2026.
  2. Alexandre Wagemakers and Vipul Periwal. Enhanced stability and root detection in a derivative-free Steffensen algorithm for nonlinear dynamical systems. Chaos 36, 033150, 2026. https://doi.org/10.1063/5.0295235
  3. David Valle, Alexandre Wagemakers, Miguel A. F. Sanjuán. From basins to safe sets: a machine learning perspective on chaotic dynamics. Discrete and Continuous Dynamical Systems - I: Intelligence 1, 2026. https://doi.org/10.3934/dcdsi.p260102
  4. Alexandre Wagemakers. Basins of attraction: a dynamical zoo. International Journal of Bifurcation and Chaos 35, 2530024, 2025. https://doi.org/10.1142/S0218127425300241
  5. David Valle, Rubén Capeans, Alexandre Wagemakers, Miguel A. F. Sanjuán. AI-driven control of chaos: a transformer-based approach for dynamical systems. Commun Nonlinear Sci Numer Simulat 151, 109085, 2025. https://doi.org/10.1016/j.cnsns.2025.109085
  6. Alexandre Wagemakers, Aleksi Hartikainen, Alvar Daza, Esa Räsänen, and Miguel A. F. Sanjuán. Chaotic dynamics creates and destroys branched flow. Phys. Rev E 111, 014214 (2025) https://doi.org/10.1103/PhysRevE.111.014214
  7. David Valle, Rubén Capeans, Alexandre Wagemakers, Miguel A.F. Sanjuán. Controlling Transient Chaos in the Lorenz System with Machine Learning. Eur. Phys. J. Spec. Top. 234, 3897-3905 (2025). https://doi.org/10.1140/epjs/s11734-025-01589-w
  8. Junghyo Jo, Alexandre Wagemakers, Vipul Periwal. Annealing approach to root finding. Phys. Rev. E 110, 025305, 2024. https://doi.org/10.1103/PhysRevE.110.025305
  9. Alvar Daza, Alexandre Wagemakers, and Miguel A. F. Sanjuán. Multistability and Unpredictability. Physics Today 77(11), 44-50 (2024). https://doi.org/10.1063/pt.kcxv.poxf
  10. David Valle, Alexandre Wagemakers, and Miguel A. F. Sanjuán. Deep Learning-based Analysis of Basins of Attraction.Chaos 34, 033105 (2024) https://doi.org/10.1063/5.0159656
  11. Juan M. Muñoz, Alexandre Wagemakers, Miguel A. F. Sanjuán. Planetary influences on the solar cycle: A nonlinear dynamics approach, Chaos, 33 123102, 2023. https://doi.org/10.1063/5.0166920
  12. Alexandre Wagemakers, Alvar Daza and Miguel AF Sanjuán. Using the basin entropy to explore bifurcations. Chaos Solitons and Fractals, 175, 113963, 2023. https://doi.org/10.1016/j.chaos.2023.113963
  13. George Datseris, Kalel Luiz Rossi, Alexandre Wagemakers. Framework for global stability analysis of dynamical systems. Chaos 33, 073151, 2023. https://doi.org/10.1063/5.0159675
  14. George Datseris and Alexandre Wagemakers. Effortless estimation of basins of attraction. Chaos 32, 023104, 2022. https://doi.org/10.1063/5.0076568
  15. Alvar Daza, Alexandre Wagemakers and Miguel A.F. Sanjuán.Classifying basins of attraction using the basin entropy. Chaos, Solitons and Fractals 159, 112112, 2022. https://doi.org/10.1016/j.chaos.2022.112112
  16. David Valle, Alexandre Wagemakers, Alvar Daza and Miguel A. F. Sanjuán. Characterization of Fractal Basins Using Deep Convolutional Neural Networks. International Journal of Bifurcation and Chaos, 32, 13, 2250200, 2022. https://doi.org/10.1142/S0218127422502005
  17. Andreu Puy, Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán. A test for fractal boundaries based on the basin entropy. Commun Nonlinear Sci Numer Simulat, 95, 105588, 2021. https://doi.org/10.1016/j.cnsns.2020.105588
  18. Alexandre Wagemakers, Alvar Daza and Miguel AF Sanjuán. How to detect Wada Basins. Discrete and Continuous Dynamical Systems B, 26, 717-739 , 2021. https://doi.org/10.3934/dcdsb.2020330
  19. Alexandre Wagemakers, Alvar Daza, and Miguel A.F. Sanjuán. The saddle-straddle method to test for Wada basins. Commun Nonlinear Sci Numer Simulat 84, 105167, 2020.
  20. Francisco J. Escribano, Alexandre Wagemakers. Performance Analysis of QAM-MPPM in Turbulence-Free FSO Channels: Accurate Derivations and Practical Approximations. IEEE System Journal 99, 1-11, 2020.
  21. Francisco J. Escribano, Alexandre Wagemakers, Georges Kaddoum and Juan V.C. Evangelis. A Spatial Time-Frequency Hopping Index Modulated Scheme in Turbulence-free Optical Wireless Communication Channels. IEEE Transactions on Communication 68, 4437-4450, 2020
  22. F. J. Escribano, A. Wagemakers, G. Kaddoum and J. V. C. Evangelis. Design and Performance Analysis of an Index Time Frequency Modulation Scheme for Optical Communications. IEEE Journal of Selected Topics in Signal Processing. 2019
  23. F. J. Escribano, J. B. Sáez-Landete and A. Wagemakers. Chaos-Based Multicarrier VLC Modulator with Compensation of LED Nonlinearity. IEEE Transactions on Communication, 67, 590-598, 2019.
  24. A. Wagemakers, J. Used and M. A. F. Sanjuán. Reducing the number of time delays in coupled dynamical systems. EPJ Special Topics, 227, 1281-1289, 2018.
  25. A. Daza, A. Wagemakers, and M. A. F. Sanjuán. Ascertaining when a basin is Wada: the merging method. Sci. Rep. 8, 9954, 2018.
  26. A. Wagemakers and F. J. Escribano. Software-Defined Radio Proof-of-Concept for Chaos-Based Coded Modulations. In proceedings of the 22nd IEEE Symposium on Computers and Communications, 2017.
  27. A. Wagemakers and M. A. F. Sanjuán. A new method to reduce the number of time delays in a network. Sci. Rep. 7, 2744, 2017.
  28. A. Daza, B. Georgeot, D. Guéry-Odelin, A. Wagemakers, and M. A. F. Sanjuán. Chaotic dynamics and fractal structures in experiments with cold atoms Phys. Rev. A, 95:013629, 2017.
  29. A. Daza, A. Wagemakers, and M. A. F. Sanjuán. Wada property in systems with delay, Commun in Nonlinear Sci and Numer Simulat, 43:220-226, 2017.
  30. F. J. Escribano, J. B. Sáez-Landete and A. Wagemakers. Optimization of Chaos-based Coded Modulations for Compensation of Amplifier Nonlinearities. Electronic letters, 52:1855-1857, 2016.
  31. A. Daza, A. Wagemakers, B. Georgeot, D. Guéry-Odelin, and M. A. F. Sanjuán. Basin entropy: a new tool to analyze uncertainty in dynamical systems. Scientific Reports, 6, 31416, 2016.
  32. F. Escribano, G. Kaddoum, A. Wagemakers and P. Giard. Design of a New Differential Chaos-Shift-Keying System For Continuous Mobility, IEEE Transactions on Communications, 64:2066-2078, 2016.
  33. A. Daza, A. Wagemakers, M. A. F. Sanjuán and James A. Yorke. Testing for Basins of Wada. Scientific Reports, 5:16579, 2015.
  34. M. Uzuntarla, E. Yilmaz, A. Wagemakers and M. Ozer. Vibrational Resonance in a heterogeneous scale free network of neurons. Commun Nonlinear Sci Numer Simulat, 22:367-374, 2015.
  35. A. Nordenfelt, A. Wagemakers, and M. A. F. Sanjuán. Cyclic motifs as the governing topological factor in time-delayed oscillator networks. Phys Rev. E 90:052920, 2014.
  36. A. Wagemakers, E. Barreto, M. A. F. Sanjuán, and P. So. Control of Collective Network Chaos. Chaos, 24:023127, 2014.
  37. A. Nordenfelt, A. Wagemakers, and M. A. F. Sanjuán. Frequency dispersion in the time delayed Kuramoto model. Phys. Rev. E, 89:032905, 2014.
  38. F. J. Escribano, A. Wagemakers and M. A. F. Sanjuán. Chaos-Based Turbo Systems in Fading Channels, IEEE Transactions on Circuits and Systems-I, 61(2):530-541, 2014.
  39. A. Daza, A. Wagemakers, and M. A. F. Sanjuán. Strong Sensitivity of the Vibrational Resonance Induced by Fractal Structures. International Journal of Bifurcation and Chaos, 23(7):1350129, 2013.
  40. A. Wagemakers y M. A. F. Sanjuán. Electronic circuit implementation of the chaotic Rulkov neuron model, The Jounal of the Franklin Institute, 350:2901-2910, 2013.
  41. A. Daza, A. Wagemakers, S. Rajasekar and M. A. F. Sanjuán. Vibrational resonance in a time delay genetic network. Commun Nonlinear Sci Numer Simulat, 18:411-416, 2013.
  42. J. Used, A. Wagemakers y M. A. F. Sanjuán. Regularization of map-based neuron models using phase control, Discontinuity, Nonlinearity and Complexity, 1(1):69-78, 2012
  43. A. Wagemakers, F. J. Escribano, L. López, M. A. F. Sanjuán. Fixed-Point Iterative Decoders for Concatenated Chaos-Based Systems. IET Communications, 6:1278-1283, 2012.
  44. S. Rajasekar, J. Used, A. Wagemakers y M. A. F. Sanjuán. Vibrational Resonance in Biological Nonlinear Maps, Commun Nonlinear Sci Numer Simulat, 17:3435-3445, 2012.
  45. A. Wagemakers, S. Zambrano y M. A. F. Sanjuán. Partial Control of Trasient Chaos in Electronic Circuits, Int. J. Bifurcation and Chaos, 22:1250032, 2012.
  46. A. Wagemakers and M. A. F. Sanjuán. "Dynamical and Electronic Simulation of Genetic Networks: Modelling and Synchronization", ERCIM News82, 39-40, 2010
  47. I. T. Tokuda, A. Wagemakers and M. A. F. Sanjuán. "Predicting the synchronization of a network of electronic repressilators", Int. J. Bifurcation and Chaos, 20, 1751-1760, 2010
  48. A. Wagemakers, J. M. Buldú, M. A. F. Sanjuán, Oscar Luis, Adriana Izquierdo and Antonio Coloma. "Entraining synthetic genetic oscillators", CHAOS, 033139, 2009
  49. A. Wagemakers, J. M. Buldú, and M. A. F. Sanjuán. "Experimental demonstration of bidirectional chaotic communication by means of isochronal synchronization'', Europhys. Lett. 81, 40005 2008.
  50. J. M. Buldú, A. Wagemakers, M. A. F. Sanjuán, Antonio Coloma, and Oscar de Luís. "Redes genéticas sintéticas: De lo simple a lo complejo''. Revista Española de Física 21, 10 2007.
  51. I. Tokuda, A. Wagemakers, and M. A. F. Sanjuán. "Predicting Synchronization of an Electronic Genetic Network''. Bussei Kenkyu 87, 550 2007.
  52. J. M. Buldú, A. Wagemakers, M. A. F. Sanjuán, and Jordi García-Ojalvo. "Electronic design of synthetic genetic networks''. Int. J. Bifurcation and Chaos 17, 3507 2007.
  53. A. Wagemakers, J. M. Buldú, and M. A. F. Sanjuán. "Isochronous synchronization in mutually coupled chaotic circuits''. Chaos 17, 023128 2007.
  54. A. Wagemakers, J. M. Buldú, J. García-Ojalvo, and M. A. F. Sanjuán. "Synchronization of electronic genetic networks''. Chaos 16, 013127 2006.
  55. A. Wagemakers, J. M. Casado, M. A. F. Sanjuán, and K. Aihara."Building electronic bursters with the Morris-Lecar neuron model''. Int. J. Bifurcation and Chaos 16, 3617 2006.

Book Chapter

  1. Alexandre Wagemakers, Alvar Daza, and Miguel A. F. Sanjuán. Electronic Modeling of Synthetic Genetic Networks. In K. Iniewski and S. Carrara, editors,Handbook of Bioelectronics. Directly interfacing electronics and biological systems. Cambridge University Press, 2014.
  2. Alexandre Wagemakers and Miguel A. F. Sanjuán, editors. Physics of Complex Systems and Life Sciences. Research Signpost, India, (2008). Note: ISBN:978-81-308-0170-4.
  3. Alexandre Wagemakers and Miguel A. F. Sanjuán. Physics of Complex Systems and Life Sciences, chapter Simulation of a genetic oscillator with electronic circuits, 193. Research Signpost, India, ISBN:978-81-308-0170-4, (2008).

PhD Thesis

Electronic Modelling of Complex Dynamics, November 2008.

Master Thesis

Sincronización de circuitos caóticos para las comunicaciones privadas, October 2003.

Music

The Chestnut Café

I play drum on my spare time, you can listen to me playing with The Chestnut Café on Bandcamp

Conejo Taladro

Another musical project: Conejo Taladro



Learn drums with Random Grooves

If you are interested in music notation, I develloped a web page where you can generate the rhythms randomly. This is an open source project that can downloaded here.