Publications

  1. B. AmbrosioM.A. Aziz-Alaoui, Argha Mondal, Arnab Mondal, S. Sharma, R. Hupadiay "Non trivial dynamics in the FizHugh-Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems." Biology, 12, (2023), 918. https://doi.org/10.3390/biology12070918

  2. B. Ambrosio. Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type. Evolution Equations and Control Theory (2023). doi: 10.3934/eect.2023023

  3. B. Ambrosio, S.M. Mintchev, "Periodically kicked feedforward chains of simple excitable FitzHugh-Nagumo neurons. " Nonlinear Dyn (2022). doi:10.1007/s11071-022-07757-0 pdf

  4. B. Ambrosio, L-S. Young, "The Use of Reduced Models to Generate Irregular, Broad-Band Signals That Resemble Brain Rhythms." Front. Comput. Neurosci. (2022) doi:10.3389/fncom.2022.889235 PMC: 9234531

  5. B. Ambrosio, "Beyond the brain: towards a mathematical modeling of emotions." J. Phys.:CS (2021),doi:10.1088/1742-6596/2090/1/012119

  6. B. Ambrosio, "Propagation of oscillations in a nonlinear wave equation model in Neuroscience context." Preprint

  7. B.Ambrosio, E. Freund, M. Membrado, "Estimations of temperature and humidity in a building with specific geometry and connected data." Preprint.

  8. M. Maama, B. Ambrosio, M.A. Aziz-Alaoui, S. Mintchev, "Emergent Properties in a V1 Network of Hodgkin-Huxley Neurons." Preprint. arxiv:2004.10656

  9. B. Ambrosio, L-S. Young, "Simulating brain rhythms using an ODE with stochastically varying coefficients." Preprint.https://arxiv.org/abs/1903.05754

  10. B. Ambrosio, M.A. Aziz-Alaoui, "Mathematical analysis of a model for forward locomotion of C. Elegans." Preprint

  11. B.Ambrosio, M.A. Aziz-Alaoui, "On a coupled time-dependent SIR model fitting with New-York and New-Jersey states COVID-19 data." Biology, 9, (2020), 135. https://doi.org/10.3390/biology9060135, PMC: 7344619

  12. B. Ambrosio, A. Ducrot, S. Ruan, "Generalized traveling waves for time-dependent reaction–diffusion systems." Math. Ann. (2020). https://doi.org/10.1007/s00208-020-01998-3

  13. B. Ambrosio, M.A. Aziz-Alaoui, V.L.E. Phan, "Large time behaviour and synchronization of complex networks of reaction-diffusion systems of FitzHugh-Nagumo type." IMA Journal of Applied Mathematics, 84(2),(2019), 416-443 https://doi.org/10.1093/imamat/hxy064

  14. B. Ambrosio, M.A. Aziz-Alaoui, R. Yafia, "Canard Phenomenon in a Slow-Fast modified Leslie-Gower model", Mathematical Biosciences, 295, (2018), 48-54. pdf

  15. B. Ambrosio, M.A. Aziz-Alaoui, V.L.E. Phan, "Attractor of complex networks of Reaction-Diffusion systems of FitzHugh-Nagumo type", DCDSB, 23(9),(2018), 3787-3797. pdf
    16. .
  16. A. Mishra, B. Ambrosio, S. Gakkhar, M.A. Aziz-Alaoui, "A network model for control of dengue epidemic using sterile insect technique", Mathematical Biosciences and Engeneering, 15(2), (2018), 441-460 https://www.aimspress.com/article/10.3934/mbe.2018020/fulltext.html

  17. A. Balti, B. Ambrosio, M.A. Aziz-Alaoui, "Propagation of bursting oscillations in networks of Hodgkin-Huxley Reaction-Diffusion systems", Differ. Equ. Dyn. Syst., (2017), published online. pdf

  18. B. Ambrosio,"Hopf Bifurcation in an Oscillatory-Ecxitable Reaction-Diffusion system with spatial heterogeneity", International Journal of Bifurcation and Chaos, 27(5), (2017),. pdf

  19. B. Ambrosio, M.A. Aziz-Alaoui, "Characterization of Basin of Attraction of patterns in the FitzHugh-Nagumo Reaction Diffusion oscillatory system." Acta Biotheoretica 64(4), (2016), 311-325 pdf

  20. B. Ambrosio, M.A. Aziz-Alaoui, V.L.E. Phan, "Attractor of complex networks of Reaction-Diffusion systems of FitzHugh-Nagumo type", under review arXiv:1504.07763v2 (2015). pdf
    21. .
  21. B. Ambrosio, M.A. Aziz-Alaoui, V.L.E. Phan, "Large time behavior and Synchronization for complex networks of Reaction Diffusion systems of FitzHugh-Nagumo type", under review arXiv:1504.07763v2 (2015). pdf
    22. .
  22. M. Krupa, B. Ambrosio and M.A. Aziz-Alaoui, "Weakly coupled two slow- two fast systems, folded node and mixed mode oscillations", Nonlinearity, 27, (2014), 1555-1574 . pdf

  23. B. Ambrosio, M.A. Aziz-Alaoui, "Network synchronization for generalized FitzHugh-Nagumo reaction diffusion systems", ESAIM proc., 39, (2013), 15-24 . pdf

  24. B. Ambrosio, M.A. Aziz-Alaoui, "Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type. ". Comput. Math. Appl., 64(5), (2012), 934-943. pdf

  25. B. Ambrosio, J-P. Francoise "Propagation of bursting oscillations. ". Phil. Trans. R. Soc. A, 367, (2009), 4863-4875. pdf

Proceedings
  1. B. Ambrosio, M.A. Aziz-Alaoui, "Sur les bassins d'attraction de patterns dans les systèmes de réaction-diffusion oscillants. Le Havre 2015. p 201-210. pdf

  2. B. Ambrosio, "Bifurcation de Hopf dans un système de réction-diffusion issu des neurosciences. ", Actes du colloque Edp-Normandie. Caen 2013. p 171-180. pdf

  3. V. L. Phan, B. Ambrosio and M.A. Aziz-Alaoui, "Analyse d'un réseau complexe et complet d'équations de réction-diffusion de type FitzHugh-Nagumo", Actes du colloque Edp-Normandie. Caen 2013. p 133-144. pdf

  4. B. Ambrosio and M.A. Aziz-Alaoui, "Synchronisation dans un réseau d'équations aux dérivées partielles de type FitzHugh-Nagumo", Actes du colloque Edp-Normandie. Le Havre 2012. p 119-131. pdf

HDR manuscript
  1. B. Ambrosio, Contribution à l’analyse théorique et numérique de quelques systèmes dynamiques dans le contexte des sciences du vivant. Le Havre Normandie Université, 2021. pdf

PhD thesis
  1. B. Ambrosio, "Propagation d'ondes dans un milieu excitable: simulations numériques et approche analytique. Université Pierre et Marie-Curie.2009. pdf

Communications
  1. Complex Networks and Dynamical Systems: a few Mathematical Perspectives with Applications to Neuroscience, Mathematical Modeling in Biomedicine, Moscow, Russia, October 25-29, 2021

  2. Beyond the brain, towards a Mathematical Modeling of Emotions, 10th International Conference on Mathematical Modeling in Physical Sciences, , Greece, September 6-9, 2021

  3. Bifurcations, pattern formation and synchronization in a few RD systems and networks of RD systems, 8th European Congress of Mathematics, Portoroz, Slovenia, June 21-25, 2021

  4. Réseaux complexes et systèmes dynamiques: quelques perspectives mathématiques et applications en neuroscience, Rouen, June 24, 2021

  5. On two mathematical approaches related to neuroscience topic, Dynamical Systems Seminar, Courant Institute, New York, October 15 2020

  6. On a coupled time-dependent SIR model fitting New York and New Jerset COVID 19 Data, Theoretical Geography debates, June 26 2020

  7. On Some Dynamical Systems in Neuroscience Context,Virtual Conference at the The Cole Neurocognition Lab, Rutgers University, Newark, March 16 2020

  8. Periodically kicked feedforward chains of simple excitable FitzHugh-Nagumo neurons, Applied Math Seminar, Le Havre, October 17, 2019

  9. Some Bifurcations and Wave Patterns Arising in Excitable and Oscillatory Models of Neuroscience Context, Snowbird, Utah, May 19-23, 2019

  10. Around some recent results about Reaction-Diffusion systems in Neuroscience context, Biomathematics / Computational Biology Colloquium, Courant Institute, New York, May 14, 2019

  11. Asymptotic Behavior, Bifurcation and Waves in Reaction-Diffusion Systems and Neuroscience Context (Part II) , Dynamical Systems Seminar, Courant Institute, New York, March 21, 2019

  12. Asymptotic Behavior, Bifurcation and Waves in Reaction-Diffusion Systems and Neuroscience Context (Part I) , Dynamical Systems Seminar, Courant Institue, New York, March 14, 2019

  13. Hopf Bifurcation in a non-homogeneous FitzHugh-Nagumo Reaction-Diffusion system; rigorous proof for the stable regime, Dynamical Systems Seminar, Courant Institue, New York, May 23, 2018

  14. Pattern Formation in a two dimensional reaction-diffusion system of FitzHugh-Nagumo oscillatory type, Systems Seminar, Courant Institue, New York, April 11, 2018

  15. Propagation of Bursting Oscillations in Coupled Hodgkin-Huxley Reaction-Diffusion Systems Context, Snowbird, Utah, May 21-25, 2017

  16. Propagation of bursting oscillations in coupled Hodgkin-Huxley non-homogeneous Reaction-Diffusion systems , Systems Seminar, Courant Institute, New York, October 12, 2017

  17. Slow-Fast Analysis in a Prey-Predator model, Fourth International Conference on Complex Dynamical Systems, Agadir, Morocco, October 26-28, 2016.

  18. Analysis of Networks of Reaction-Diffusion Systems of Hodgkin-Huxley type, Agadir, Morocco, October 26-28, 2016.

  19. Hopf bifurcation in a Reaction-Diffusion system of FitzHugh-Nagumo type, Dynamical Systems Seminar, Courant Institute of Mathematical Science, New-York, June 16 2016

  20. Characterization of the Basin of Attraction of Patterns for Oscillatory Reaction-Diffusion Systems. 35ème colloque de la Sociéte Francaise de biologie Théorique, Poitiers, June 22-25 2015.

  21. Sur la caractérisation des bassins d'attraction de patterns pour les systèmes de réaction-diffusion oscillants'. 7 &eagraveme colloque sur les Tendances des Applications Mathéques Tunisie Algérie Maroc, Tanger, Maroc, May 4-8 2015.

  22. Control of the locomotion of C. Elegans: a mathematical analysis. International Conference on Complex Dynamical Systems and Their Application, TOBB University, Ankara, November 24-26 2014.

  23. Weakly coupled two slow-two fast systems, folded singularities and mixed mode oscillations. International Conference on Complex Systems and Applications 2014, Université du Havre, June 23-26 2014.

  24. Transcritical Bifurcation and Mixed Mode Oscillations in a two slow-two fast coupled systems. International Conference on Structural Nonlinear Dynamics and Diagnosis, Agadir, Maroc, May 19-21 2014.

  25. Bifurcation de Hopf, solutions périodiques et mixed mode oscillations dans un système de Réaction diffusion. 5e journée Normandie-Mathématiques, Rouen, June 17 2013.

  26. Synchronisation dans un réseau de neurones. Journées DYCOEC, Rencontre biologie, médecine et systèmes complexes, Rouen, November 26-28 2012.

  27. Sur le couplage de systèmes de réaction- diffusion de type FitzHugh-Nagumo. Rencontre Analyse Non Linéaire et Applications aux Rythmes complexes du vivant, La rochelle, December 13-15 2011.

  28. Dynamics and Coupling of ODE and PDE systems of FitzHugh-Nagumo type. CHAOS 2011. Chaotic Modeling and Simulation. Agios Nikolaos, Grèce, MaY 28- June 3 2011.

  29. Synchronisation de deux neurones à décharge GnRH, Journée ANR, Analyse Non linéaire et Rythmes du Vivant, Paris, June 14 2010.

  30. Formation de patterns dans un système de réaction-diffusion oscillatoire et excitable. ReadiLab Conference : Reaction-Diffusion Systems, Modeling and Analysis, Orsay (France),June 2-5 2009.