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Professeur René Lozi Curriculum vitae


Professor René Lozi
He was born in 1948 and received his Ph.D. in numerical analysis (bifurcation theory) from the University of Nice in 1975. In 1983, he received the French State Thesis from University of Nice under the supervision of Prof. René Thom (Fields medalist in 1958). He has been Assistant Professor, Laboratoire J. A. Dieudonné, University of Nice (1974-1976); Research Attaché of Centre National de la Recherche Scientifique (CNRS) (1976-1982), responsible for research at CNRS (1982-1990). He became Full Professor (2nd class) at Laboratoire J. A. Dieudonné, University of Nice and Institut Universitaire de Formation des Maîtres (IUFM), Nice (1990-2005). He has been Head of the Department of Mathematics, IUFM (1993-1997); President of the Scientific and Educational Board of IUFM (1993-1996); Director of the Institute of Research in the Teaching of Mathematics (IREM), University of Nice (1993-1997); Head of the Academic Mission of Teachers Training (MAFPEN) of the Southeast part of France Region Education Authority (1997-1998); Advisor for the new technologies of the Southeast part of France Region Education Authority (1998-1999). In 2005, he became Full Professor (1st Class) at Laboratoire J.A. Dieudonné, University of Nice and IUFM. He has served as the Director of IUFM (2001-2006) and as Vice-Chairman of the French Board of Directors of IUFM (2004-2006) and in 2011 he became Full Professor of Exceptional Class (the highest rank in French university). He is member of the Editorial Board of Indian Journal of Industrial and Applied Mathematics and Journal of Nonlinear Systems and Applications, and member of the Honorary Editorial Board of International Journal of Bifurcation and Chaos. He is life member of the Indian Society of Industrial and Applied Mathematics (and was there, when this society was established in Aligarh Muslim University, last week of September 1990). He his also member of the Interuniversity group of research DYCOEC, GdR 2984 of C.N.R.S. (Dynamics and control of complex sets), and the International Physics and Control Society (IPACS, St Petersburg, Russia).
His research areas include complexity and emergences theories, dynamical systems, bifurcation and chaos, control of chaos, cryptography based chaos, Genetic Algorithms, Evolutionary algorithms and recently Memristors. His initial research was related to the numerical analysis of the bifurcation phenomena in the fields of nonlinear boundary value problems of ordinary differential equations. Then he entered the domain of dynamical systems, in which in 1977 he discovered a particular mapping of the plane producing a very simple strange attractor (now known as the "Lozi map" ). He has worked in this field with renowned researchers, such as Professors Leon Chua (inventor of "Chua circuit" and Memrsitor), and Alexander Sharkovsky (who introduced the "Sharkovsky's order"). He has been Visiting Professor for several short periods to the University of Kyoto and University of Tokushima in Japan, University of Berkley, USA, Universities of Hong-Kong and Shanghai, China. Some of his former students are now full Professors in the Universities of Le Havre, France; Constantine and Sétif, Algeria. His current research interest lies on one hand, in the use of dynamical systems in order to produce pseudo-random numbers in order to improve encryption methods or to enhance optization evolutionary algorithms, and on the other hand on Memristors (a new passive eletronic element which will revolutionize the industry of computers, in the coming few years). His currently working with a dozen of teams worldwide on those topics. In parallel with these strictly mathematical researches, he also studies several aspects of the teaching of mathematics in particular a new fields called interdidactics. With Professor Nicole Biagioli he has co-founded the interdisciplinary laboratory I3DL (InterDidactique, Didactique des Disciplines et des Langues) at the university of Nice-Sophia Antipolis.


Article dans une revue20 documents

Communication dans un congrès18 documents

  • Ons Jallouli, Safwan El Assad, Mohammad Abu Taha, Maryline Chetto, René Lozi, et al.. An efficient pseudo chaotic number generator based on coupling and multiplexing techniques. International Conference on Emerging Security Information, Systems and Technologies (SECURWARE 2016), Jul 2016, Nice, France. paper#30040, 2016, <http://www.iaria.org/conferences2016/SECURWARE16.html>. <hal-01318805>
  • Mohammed-Salah Abdelouahab, René Lozi. Bifurcation Analysis and Chaos in Simplest Fractional-order Electrical Circuit. IEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT), May 2015, Tlemcen, Algeria. IEEE, Proceedings of the IEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT), pp.1-5, 2015, Proceedings of the IEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT). <http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=7233122>. <10.1109/CEIT.2015.7233122>. <hal-01337180>
  • Oleg Garasym, René Lozi, Ina Taralova. Exploring some topologies of coupled chaotic networks. Elena Blokhina, Orla Feely. NOMA'15, International Workshop on Nonlinear Maps and their Applications, Jun 2015, Dublin, Ireland. pp.34-39, 2016, Proceedings of NOMA'15, International Workshop on Nonlinear Maps and their Applications, University College Dublin, Ireland. <https://noma2015.wordpress.com/about-noma-2015/>. <hal-01170124>
  • Ons Jallouli, Safwan El Assad, Maryline Chetto, René Lozi, Daniel Caragata. A Novel Chaotic Generator Based On Weakly-coupled Discrete Skewtent Maps. International Conference on Internet Technology and Secured Transactions, Dec 2015, Londres, United Kingdom. pp.38-43 2016, Chaos-Information Hiding and Security Workshop (C-IHS-2015). <10.1109/ICITST.2015.7412052>. <hal-01250257>
  • René Lozi. Exploration of topologies of coupled nonlinear maps (Chaos theory). Matoušek Radek. 21st International Conference on Soft Computing (MENDEL 2015), Jun 2015, Brnö, Czech Republic. MENDEL 2015, 21st International Conference on Soft Computing, 2015, pp.223-236, 2015, Mendel Series. <http://www.mendel-conference.org/?link=invited15>. <hal-01336429>
  • René Lozi. Mathematical chaotic circuits: an efficient tool for shaping numerous architectures of mixed chaotic/peudo random number generators. International Conference on Soft Computing MENDEL 2014, Jun 2014, Brnö, Czech Republic. pp.163-176, 2014. <hal-01027571>
  • Zeinab Fawaz, Safwan El Assad, Mousa Farajallah, Ayman Khalil, René Lozi, et al.. Lightweight chaos-based cryptosystem for secure images. 8th International Conference on Internet Technology and Secured Transactions 2013: ISTP Workshop, Dec 2013, Londres, United Kingdom. pp.ID-276, 2013. <hal-00872265>
  • Nathalie Auxire, Nicole Biagioli, René Lozi. SAVOIRS MATHEMATIQUES ET COMPETENCES : ETUDE DES EFFETS DE TRANSPOSITION DES SOLIDES GEOMETRIQUES DANS LA FILIERE PRODUCTIQUE-USINAGE EN LYCEE PROFESSIONNEL. Association pour des Recherches Comparatistes en Didactique. Troisième Colloque International de l'Association pour des Recherches Comparatistes en Didactique, Jan 2013, Marseille, France. page 66 (+ 8 p.), 2013, SAVOIRS, COMPETENCES. Approches comparatives de l'organisation des formes et des contenus de l'étude: variations et constantes disciplinaires, institutionnelles, culturelles. <http://arcd2013.sciencesconf.org/>. <hal-00752978>
  • Jean-Philippe Drouhard, René Lozi. DEMONTRER EN MATHÉMATIQUES : UNE PRATIQUE FRAPPÉE D'OBSOLESCENCE ?. Association pour les Recherches Comparatistes en Didactique. Troisième Colloque international de l'Association pour les Recherches Comparatistes en Didactique, Jan 2013, Marseille, France. page 105 (+ 8 p.), 2013, SAVOIRS COMPETENCES, Approche comparatives de l'organisation des formes et des contenus de l'étude: variations et constantes disciplinaires, institutionnelles, culturelles. <http://arcd2013.sciencesconf.org/>. <hal-00752953>
  • Léa Dominique Cot, René Lozi. Assessing the Security of Subsampling Process Using Modified EKF and Nonlinear Least Squares Methods. ICITST-2012, Dec 2012, London, United Kingdom. IEEE, Proceedings of the IEEE,7th International Conference for Internet Technology and Secured Transactions, ICITST-2012, pp.27-31, 2012, Workshop ISTP-12, 2nd International Workshop on Information Security and Practice. <http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6470977&url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel7%2F6459616%2F6470811%2F06470977.pdf%3Farnumber%3D6470977>. <hal-01338203>
  • Ina Taralova, René Lozi, Safwan El Assad. Chaotic generator synthesis: Dynamical and statistical analysis. 7th International Conference on Internet Technology and Secured Transactions (ISTP) Workshop ICITST 2012, Dec 2012, LONDRES, United Kingdom. pp. 56-59, 2012. <hal-00743959>
  • René Lozi, Nicole Biagioli. COMPLEX SYSTEMS IN EDUCATION: INTERNATIONAL STUDY OF MULTIDISCIPLINARY INTERACTIONS FOR PROMOTING THE LEARNING OF MATHEMATICS AND SCIENCE. M. Aziz-Alaoui, A. Banos, C. Bertelle, G. H. E. Duchamp. SOMC'2012 within ECCS'12, European Conference on Complex Systems, Sep 2012, Brussels, Belgium. p. 17-28, 2012. <hal-00753088>
  • Andrea Espinel Rojas, Ina Taralova, René Lozi. NEW ALTERNATE LOZI FUNCTION FOR RANDOM NUMBER GENERATION. EPNACS 2011 within ECCS'11, Sep 2011, Vienne, Austria. pp.13-15, 2011. <hal-00622989>
  • Andrea Espinel Rojas, Ina Taralova, René Lozi. DYNAMICAL AND STATISTICAL ANALYSIS OF A NEW LOZI FUNCTION FOR RANDOM NUMBERS GENERATION. PHYSCON 2011, Sep 2011, León, Spain. 2011. <hal-00623064>
  • Tayeb Hamaizia, René Lozi. IMPROVING CHAOTIC OPTIMIZATION ALGORITHM USING A NEW GLOBAL LOCALLY AVERAGED STRATEGY. M. Aziz-Alaoui, Arnaud Banos, Cyrille Bertelle, Gérard H.E. Duchamp. Emergent Properties in Natural and Artificial Complex Systems, Sep 2011, Vienne, Austria. pp. 17-20, 2011. <hal-00607824>
  • René Lozi, Estelle Cherrier. Noise-resisting ciphering based on a chaotic multi-stream pseudo-random number generator. IEEE, 6th International Conference for Internet Technology and Secured Transactions, ICITST-2011, Dec 2011, Abu Dhabi, United Arab Emirates. IEEE, Proceedings of the IEEE, 6th International Conference for Internet Technology and Secured Transactions, ICITST-2011, pp.91-96, 2011, Workshop ISTP-11, 1st International Workshop on Information Security and Practice. <http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6148376>. <hal-00617051>
  • Sebastien Hénaff, Ina Taralova, René Lozi. Observers design for a new weakly coupled map function. ICCSA 2009 The 3rd International Conference on Complex Systems and Applications, Jun 2009, Le Havre, France. pp.47-50, 2009. <hal-00368576>
  • René Lozi. Chaotic Pseudo Random Number Generators via Ultra Weak Coupling of Chaotic Maps and Double Threshold Sampling Sequences. ICCSA 2009, 3rd Conference on Complex Systems and Applications., Jun 2009, Le Havre, France. pp.20-24, 2009. <hal-00386292>

Chapitre d'ouvrage6 documents

  • Oleg Garasym, Ina Taralova, René Lozi. New nonlinear CPRNG based on tent and logistic maps. Jinhu Lü, Xinghuo Yu, Guanrong Chen, Wenwu Yu. Complex Systems and Networks — Dynamics, Controls and Applications, Springer, pp.107-130, 2015, Springer: Complexity, 978-3-662-47823-3. <10.1007/978-3-662-47824-0>. <http://www.springer.com/series/5394>. <hal-01170134>
  • René Lozi. Cryptography-Based Chaos via Geometric Undersampling of Ring-Coupled Attractors. A. H. Siddiqi, P. Manchanda, R. Bhardwaj. Mathematical Models, Methods and Applications, Springer, pp.1-30, 2015, 978-981-287-971-4. <http://www.springer.com/us/book/9789812879714>. <hal-01333364>
  • René Lozi. Chaotic mathematical circuitry. Andrew Adamatzky, Guanrong Chen. Chaos CNN, Memristors and Beyond, A festschrift for Leon Chua, World scientific, pp.307-323, 2013, 978-981-4434-79-9. <hal-00682309v2>
  • René Lozi. Complexity leads to randomness in chaotic systems. A.H. Siddiqi, R.C. Singh, P. Manchanda. Mathematics in Science and Technology: Mathematical Methods, Models and Algorithms in Science and Technology. Proceedings of the Satellite Conference of ICM, 15-17 August 2010 Delhi, India, World Scientific, pp.93-125, 2011. <hal-00627604>
  • Nicole Biagioli, Jean-Philippe Drouhard, René Lozi, Laurence Lopez, Christophe Raoux. Le marquage temporel des débats interdidactiques : la non-congruence comme marqueur d'interdiscursivité. Dominique Lahanier-Reuter, Eric Roditi. Questions de temporalité, Les méthodes de recherche en didactiques (2). Actes du deuxième séminaire international sur les méthodes de recherche en didactiques de novembre 2006, Villeneuve d'Asq., Presses Universitaires du Septentrion, pp.109-124, 2007, Education et didactiques. <hal-00155215>
  • René Lozi. Max Charvolen : la dualité mathématique du travail des bords. Jacqueline Chénieux-Gendron. Spatialisation en art et sciences humaines, Peeters, pp.225-253, 2004, Collection critique Pleine Marge. <hal-00278257>

Pré-publication, Document de travail3 documents

  • Tayeb Hamaizia, René Lozi. Fast chaotic optimization algorithm based on locally averaged strategy and multifold chaotic attractor. Submitted to Nonlinear Dynamics. 2011. <hal-00606509v2>
  • Sebastien Hénaff, Ina Taralova, René Lozi. Dynamical Analysis of a new statistically highly performant deterministic function for chaotic signals generation. Submitted to: Physcon 2009 The International Physics and Control Conference Catania 1-4 septe.. 2009. <hal-00368844>
  • René Lozi. Chaotic Sampling, Very Weakly Coupling, and Chaotic Mixing: Three Simple Synergistic Mechanisms to Make New Families of Chaotic Pseudo Random Number Generators. final version of the oral presentation in the Sixth EUROMECH Nonlinear Dynamics Conference, June .. 2008. <hal-00258017v3>