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René Lozi
74
Documents
Presentation
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.
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Stabilization of Higher Periodic Orbits of Chaotic maps using Permutation-selective Objective Function2022 IEEE Workshop on Complexity in Engineering (COMPENG), Aug 2022, Florence, Italy. ⟨10.1109/COMPENG50184.2022.9905436⟩
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From observation to mathematical modeling of human behaviour in the face of disasters : an example of transdisciplinary researchInternational Symposium on Computational Science and its Applications, Feb 2018, Greater Noida - Sharda University, India
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Topological analysis of a Coupled Weighted Panic Control Reflex (CWPCR) model in the context of terrorist attackInternational Conference & 14th Biennial Conference of Indian Society of Industrial and Applied Mathematics, Indian Society of Industrial and Applied Mathematics, Feb 2018, Amritsar, Guru Nanak Dev University,, India
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An efficient pseudo chaotic number generator based on coupling and multiplexing techniquesInternational Conference on Emerging Security Information, Systems and Technologies (SECURWARE 2016), Jul 2016, Nice, France. paper#30040
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Exploring some topologies of coupled chaotic networksNOMA'15, International Workshop on Nonlinear Maps and their Applications, Elena Blokhina, Orla Feely, Jun 2015, Dublin, Ireland. pp.34-39
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Bifurcation Analysis and Chaos in Simplest Fractional-order Electrical CircuitIEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT), May 2015, Tlemcen, Algeria. pp.1-5, ⟨10.1109/CEIT.2015.7233122⟩
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A Novel Chaotic Generator Based On Weakly-coupled Discrete Skewtent MapsInternational Conference on Internet Technology and Secured Transactions, Dec 2015, Londres, United Kingdom. pp.38-43, ⟨10.1109/ICITST.2015.7412052⟩
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Exploration of topologies of coupled nonlinear maps (Chaos theory)21st International Conference on Soft Computing (MENDEL 2015), Matoušek Radek, Jun 2015, Brnö, Czech Republic. pp.223-236
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Mathematical chaotic circuits: an efficient tool for shaping numerous architectures of mixed chaotic/peudo random number generatorsInternational Conference on Soft Computing MENDEL 2014, Jun 2014, Brnö, Czech Republic. pp.163-176
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DEMONTRER EN MATHÉMATIQUES : UNE PRATIQUE FRAPPÉE D'OBSOLESCENCE ?Troisième Colloque international de l'Association pour les Recherches Comparatistes en Didactique, E.A. "ADEF" "E.A. 6308" I3DL, Instiitut Français d'Education-ENS Lyon, Jan 2013, Marseille, France. page 105 (+ 8 p.)
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Lightweight chaos-based cryptosystem for secure images8th International Conference on Internet Technology and Secured Transactions 2013: ISTP Workshop, Dec 2013, Londres, United Kingdom. pp.ID-276
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SAVOIRS MATHEMATIQUES ET COMPETENCES : ETUDE DES EFFETS DE TRANSPOSITION DES SOLIDES GEOMETRIQUES DANS LA FILIERE PRODUCTIQUE-USINAGE EN LYCEE PROFESSIONNELTroisième Colloque International de l'Association pour des Recherches Comparatistes en Didactique, Association pour des Recherches Comparatistes en Didactique, Jan 2013, Marseille, France. page 66 (+ 8 p.)
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Assessing the Security of Subsampling Process Using Modified EKF and Nonlinear Least Squares MethodsICITST-2012, Dec 2012, London, United Kingdom. pp.27-31
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COMPLEX SYSTEMS IN EDUCATION: INTERNATIONAL STUDY OF MULTIDISCIPLINARY INTERACTIONS FOR PROMOTING THE LEARNING OF MATHEMATICS AND SCIENCESOMC'2012 within ECCS'12, European Conference on Complex Systems, Sep 2012, Brussels, Belgium. p. 17-28
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Chaotic generator synthesis: Dynamical and statistical analysis7th International Conference on Internet Technology and Secured Transactions (ISTP) Workshop ICITST 2012, Dec 2012, LONDRES, United Kingdom. pp. 56-59
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IMPROVING CHAOTIC OPTIMIZATION ALGORITHM USING A NEW GLOBAL LOCALLY AVERAGED STRATEGYEmergent Properties in Natural and Artificial Complex Systems, Sep 2011, Vienne, Austria. pp. 17-20
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DYNAMICAL AND STATISTICAL ANALYSIS OF A NEW LOZI FUNCTION FOR RANDOM NUMBERS GENERATIONPHYSCON 2011, Sep 2011, León, Spain
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Noise-resisting ciphering based on a chaotic multi-stream pseudo-random number generatorIEEE, 6th International Conference for Internet Technology and Secured Transactions, ICITST-2011, Dec 2011, Abu Dhabi, United Arab Emirates. pp.91-96
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NEW ALTERNATE LOZI FUNCTION FOR RANDOM NUMBER GENERATIONEPNACS 2011 within ECCS'11, Sep 2011, Vienne, Austria. pp.13-15
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Chaotic Pseudo Random Number Generators via Ultra Weak Coupling of Chaotic Maps and Double Threshold Sampling SequencesICCSA 2009, 3rd Conference on Complex Systems and Applications., Jun 2009, Le Havre, France. pp.20-24
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Observers design for a new weakly coupled map functionICCSA 2009 The 3rd International Conference on Complex Systems and Applications, Jun 2009, Le Havre, France. pp.47-50
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Mathematical Modelling, Optimization, Analytic and Numerical SolutionsBooks hal-02494480v1 |
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Industrial Mathematics and Complex Systems Emerging Mathematical Models, Methods and Algorithms2017
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Computer Intelligence in Modeling, Prediction, and Analysis of Complex Dynamical SystemsIvan Zelinka, Ajith Abraham, Otto Rossler, Mohammed Chadli, and Rene Lozi. Hindawi Publishing Corporation, 62 p., 2015, The Scientific World Journal, ⟨10.1155/2015/948512⟩
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Topological analysis of a weighted human behaviour model coupled on a streets and places network in the context of urban terrorist attackPammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi. Mathematical Modelling, -Optimization, Analytic and Numerical Solutions, Springer, pp.117-146, 2020, Industrial and Applied Mathematics, 978-981-15-0927-8. ⟨10.1007/978-981-15-0928-5_5⟩
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A Model to Assess the Role of Spatial Urban Configurations on Crowd Evacuation Dynamics During Terrorist AttacksA. H. Siddiqi; R. C. Singh; G. D. Veerappa Gowda. Computational Science and Its Applications, Taylor & Francis Group, pp.41-59, 2020, 9780429288739. ⟨10.1201/9780429288739⟩
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PROPOSTAS PARA O ENSINO DE CIÊNCIAS NATURAIS POR INVESTIGAÇÃO A PARTIR DE OBSERVAÇÕES EM UM LICEU FRANCÊSPolíticas Públicas na Educação Brasilei: Ensino Aprendizagem e Metodologias, P 769, Atena Editora: Ponta grossa (PR), Brazil, pp.132-148, 2018
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The Challenging Problem of Industrial Applications of Multicore-Generated Iterates of Nonlinear MappingsP. Manchanda, R. Lozi, A.H. Siddiqi. Industrial mathematics and complex systems, Emerging Mathematical models, Methods and Algorithms, Springer, pp.43-76, 2017, ⟨10.1007/978-981-10-3758-0_4⟩
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Cryptography-Based Chaos via Geometric Undersampling of Ring-Coupled AttractorsA. H. Siddiqi, P. Manchanda, R. Bhardwaj. Mathematical Models, Methods and Applications, Springer, pp.1-30, 2015, 978-981-287-971-4
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New nonlinear CPRNG based on tent and logistic mapsJinhu 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⟩
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Chaotic mathematical circuitryAndrew Adamatzky, Guanrong Chen. Chaos CNN, Memristors and Beyond, A festschrift for Leon Chua, World scientific, pp.307-323, 2013, 978-981-4434-79-9
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Complexity leads to randomness in chaotic systemsA.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
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Le marquage temporel des débats interdidactiques : la non-congruence comme marqueur d'interdiscursivitéDominique 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
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Max Charvolen : la dualité mathématique du travail des bordsJacqueline Chénieux-Gendron. Spatialisation en art et sciences humaines, Peeters, pp.225-253, 2004, Collection critique Pleine Marge
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On memfractance of plants and fungi2020
Preprints, Working Papers, ...
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Fast chaotic optimization algorithm based on locally averaged strategy and multifold chaotic attractor2011
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Dynamical Analysis of a new statistically highly performant deterministic function for chaotic signals generation2009
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Chaotic Sampling, Very Weakly Coupling, and Chaotic Mixing: Three Simple Synergistic Mechanisms to Make New Families of Chaotic Pseudo Random Number Generators2008
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