Institutos Universitarios

Valeriy A. Makarov Slizneva

Catedrático de Universidad (Full Professor)
Department of Applied Mathematics and Mathematical Analysis
School of Mathematical Sciences
Complutense University of Madrid
Research Group Cognitive Systems and Neurorobotics
Research Group MOMAT




I graduated from the Nizhny Novgorod State University (Russia) in 1992. In 1997 I got a Ph.D. in Physics and Mathematics from the same universitiy. From 1998 I work at the Complutense University of Madrid (Spain). 


Research interests

Nonlinear dynamics of neuronal systems; Bifurcation theory; Time series analysis of biological processes; Analysis of cerebral activity; Mathematical bases of cognition; Compact Internal Representations.


Latest Publications


  • A. N. Mikhaylov, S. A. Shchanikov, V. A. Demin, V. A. Makarov, V. B. Kazantsev. Editorial: Neuroelectronics: towards symbiosis of neuronal systems and emerging electronics. Frontiers in Neuroscience. 2023, 17, Article number 1227798.
  • O. Herreras, D. Torres, V. A. Makarov, J. Makarova. Theoretical considerations and supporting evidence for the primary role of source geometry on field potential amplitude and spatial extent. Frontiers in Cellular Neuroscience. 2023, 17.
  • A. Lobov, A. Mikhaylov, E. S. Berdnikova, V. Makarov, V. B. Kazantsev. Spatial Computing in Modular Spiking Neural Networks with a Robotic Embodiment. Mathematics,  2023, 234, 11(1).
  • V. A. Makarov, S. A. Lobov, S. Shchanikov, A. Mikhaylov, V. B. Kazantsev. Toward Reflective Spiking Neural Networks Exploiting Memristive Devices. Frontiers in Computational Neuroscience, 2022, 16, 859874.
  • O. Herreras, D. Torres, G. Martín-Vázquez, S. Hernández-Recio, V. J. López-Madrona, N. Benito, V. A Makarov, J. Makarova. Site-dependent shaping of field potential waveforms, Cerebral Cortex, 2022.
  • S. A. Lobov, N. P. Krilova, V. A. Makarov, D. P. Kurganov, J. Makarova. Arcade game testing of generalized cognitive maps in humans. 2021 Third International Conference Neurotechnologies and Neurointerfaces (CNN). 2021, 61-63.
  • S. Shchanikov, I. Bordanov, A. Belov, D. Korolev, M. Shamshin, E. Gryaznov, V. Kazantsev, A. Mikhaylov, V. A. MakarovMemristive Concept of a High-Dimensional Neuron. 2021 Third International Conference Neurotechnologies and Neurointerfaces (CNN). 2021, 96-99.
  • S. A. Lobov, A. I. Zharinov, V. A. Makarov, V. B. Kazantsev. Spatial memory in a spiking neural network with robot embodiment. Sensors. 2021, 21, 8, Article number 2678.
  • J. A. Villacorta-Atienza, C. Calvo Tapia, S. Díez-Hermano, A. Sánchez-Jiménez, S. Lobov, N. Krilova, A. Murciano, G. E. López-Tolsa, R. Pellón, V. A. Makarov. Static internal representation of dynamic situations reveals time compaction in human cognition. Journal of Advanced Research. 2021, 28, 111-125.
  • C. Calvo-Tapia, V. A. Makarov, C. Van Leeuwen. Basic principles drive self-organization of brain-like connectivity structure. Communications in Nonlinear Science and Numerical Simulation. 2020, 82, 105065. 
  • A. N. Gorban, V. A. Makarov, I. Y. Tyukin. High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality. Entropy. 2020, 22, 82.
  • C. Calvo-Tapia, J. A. Villacorta-Atienza, S. Díez-Hermano, M. Khoruzhko, S. Lobov, I. Potapov, A. Sánchez-Jiménez, V. A. Makarov. Semantic knowledge representation for strategic interactions in dynamic situations. Frontiers in Neurorobotics. 2020, 4, 4. 
  • S. A. Lobov, A. N. Mikhaylov, M. Shamshin, V. A. Makarov, V. B. Kazantsev. Spatial Properties of STDP in a Self-Learning Spiking Neural Network Enable Controlling a Mobile Robot. Frontiers in Neuroscience. 2020, 14, 88.
  • C. Calvo Tapia, I. Tyukin, V. A. Makarov. Universal principles justify the existence of concept cells. Sci Rep. 2020, 10, 7889.
  • A. N. Gorban, V. A. Makarov, I. Y. Tyukin. Symphony of high-dimensional brain: Reply to comments on “The unreasonable effectiveness of small neural ensembles in high-dimensional brain”. Physics of life reviews 29, 115-119, 2019.
  • A. N. Gorban, V. A. Makarov, I. Y. Tyukin. The unreasonable effectiveness of small neural ensembles in high-dimensional brain. Physics of life reviews 29, 55-88, 2019.
  • D. Torres, J Makarova, T. Ortuño, N Benito, V. A. Makarov, O. Herreras. Local and Volume-Conducted Contributions to Cortical Field Potentials. Cerebral Cortex, 2019. 
  • I. Y. Tyukin, A. N. Gorban, C. Calvo, J. Makarova, V. A. Makarov. High-dimensional brain. A tool for encoding and rapid learning of memories by single neurons. Bulletin of Mathematical Biology. 2019,81, 4856–4888. DOI:

Contact details
Personal Webpage


A. E. Hramov, A. A. Koronovskii, V. A. Makarov, V. A. Maksimenko, A. N. Pavlov, E. Sitnikova. Wavelets in Neuroscience. Springer Series in Synergetics. 2021. Hardcover ISBN: 978-3-030-75991-9, Softcover ISBN: 978-3-030-75994-0, eBook ISBN: 978-3-030-75992-6.