Christophe Letellier - Publications

Affiliations: 
University of Rouen 

93 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2021 Letellier C, Abraham R, Shepelyansky DL, Rössler OE, Holmes P, Lozi R, Glass L, Pikovsky A, Olsen LF, Tsuda I, Grebogi C, Parlitz U, Gilmore R, Pecora LM, Carroll TL. Some elements for a history of the dynamical systems theory. Chaos (Woodbury, N.Y.). 31: 053110. PMID 34240941 DOI: 10.1063/5.0047851  0.451
2020 Letellier C. Assessing synchronizability provided by coupling variable from the algebraic structure of dynamical systems. Physical Review. E. 101: 042215. PMID 32422746 DOI: 10.1103/Physreve.101.042215  0.329
2020 Letellier C, Leyva I, Sendiña-Nadal I. Dynamical complexity measure to distinguish organized from disorganized dynamics. Physical Review. E. 101: 022204. PMID 32168607 DOI: 10.1103/Physreve.101.022204  0.327
2019 Charó GD, Sciamarella D, Mangiarotti S, Artana G, Letellier C. Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems. Chaos (Woodbury, N.Y.). 29: 123126. PMID 31893675 DOI: 10.1063/1.5120625  0.352
2018 Letellier C, Mangiarotti S, Sendiña-Nadal I, Rössler OE. Topological characterization versus synchronization for assessing (or not) dynamical equivalence. Chaos (Woodbury, N.Y.). 28: 045107. PMID 31906632 DOI: 10.1063/1.5011325  0.324
2018 Aguirre LA, Portes LL, Letellier C. Structural, dynamical and symbolic observability: From dynamical systems to networks. Plos One. 13: e0206180. PMID 30379892 DOI: 10.1371/Journal.Pone.0206180  0.326
2018 Letellier C, Sendiña-Nadal I, Aguirre LA. Nonlinear graph-based theory for dynamical network observability. Physical Review. E. 98: 020303. PMID 30253528 DOI: 10.1103/Physreve.98.020303  0.308
2018 Letellier C, Sendiña-Nadal I, Bianco-Martinez E, Baptista MS. A symbolic network-based nonlinear theory for dynamical systems observability. Scientific Reports. 8: 3785. PMID 29491432 DOI: 10.1038/S41598-018-21967-W  0.331
2017 Aguirre LA, Portes LL, Letellier C. Observability and synchronization of neuron models. Chaos (Woodbury, N.Y.). 27: 103103. PMID 29092444 DOI: 10.1063/1.4985291  0.302
2017 Sendiña-Nadal I, Letellier C. Synchronizability of nonidentical weakly dissipative systems. Chaos (Woodbury, N.Y.). 27: 103118. PMID 29092408 DOI: 10.1063/1.5005840  0.348
2016 Sendiña-Nadal I, Boccaletti S, Letellier C. Observability coefficients for predicting the class of synchronizability from the algebraic structure of the local oscillators. Physical Review. E. 94: 042205. PMID 27841469 DOI: 10.1103/Physreve.94.042205  0.324
2016 Letellier C, Malasoma JM. Architecture of chaotic attractors for flows in the absence of any singular point. Chaos (Woodbury, N.Y.). 26: 063115. PMID 27368780 DOI: 10.1063/1.4954212  0.32
2016 Aguirre LA, Letellier C. Controllability and synchronizability: Are they related? Chaos, Solitons & Fractals. 83: 242-251. DOI: 10.1016/J.Chaos.2015.12.009  0.307
2016 Mangiarotti S, Le Jean F, Huc M, Letellier C. Global modeling of aggregated and associated chaotic dynamics Chaos, Solitons & Fractals. 83: 82-96. DOI: 10.1016/J.Chaos.2015.11.031  0.324
2015 Fresnel E, Yacoub E, Freitas U, Kerfourn A, Messager V, Mallet E, Muir JF, Letellier C. An easy-to-use technique to characterize cardiodynamics from first-return maps on ΔRR-intervals. Chaos (Woodbury, N.Y.). 25: 083111. PMID 26328562 DOI: 10.1063/1.4928334  0.732
2015 Bianco-Martinez E, Baptista MS, Letellier C. Symbolic computations of nonlinear observability. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 062912. PMID 26172777 DOI: 10.1103/Physreve.91.062912  0.33
2015 Lainscsek C, Weyhenmeyer J, Sejnowski TJ, Letellier C. Discovering independent parameters in complex dynamical systems. Chaos, Solitons, and Fractals. 76: 182-189. PMID 25983399 DOI: 10.1016/J.Chaos.2015.04.001  0.346
2015 Fresnel E, Muir J, Letellier C. LATE-BREAKING ABSTRACT: A parametric procedure to compare domiciliary ventilator performances European Respiratory Journal. 46. DOI: 10.1183/13993003.Congress-2015.Oa498  0.689
2015 Rosalie M, Letellier C. Systematic template extraction from chaotic attractors: II. Genus-one attractors with multiple unimodal folding mechanisms Journal of Physics a: Mathematical and Theoretical. 48: 235101. DOI: 10.1088/1751-8113/48/23/235101  0.763
2015 Fresnel E, Cuvelier A, Muir J, Letellier C. Tests comparatifs des performances des ventilateurs de domicile sur poumon mécanique actif Revue Des Maladies Respiratoires. 32: A80. DOI: 10.1016/J.Rmr.2014.10.497  0.659
2014 Viger L, Denis F, Rosalie M, Letellier C. A cancer model for the angiogenic switch. Journal of Theoretical Biology. 360: 21-33. PMID 24997238 DOI: 10.1016/J.Jtbi.2014.06.020  0.732
2014 Mangiarotti S, Drapeau L, Letellier C. Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco. Chaos (Woodbury, N.Y.). 24: 023130. PMID 24985444 DOI: 10.1063/1.4882376  0.337
2014 Rosalie M, Letellier C. Toward a General Procedure for Extracting Templates from Chaotic Attractors Bounded by High Genus Torus International Journal of Bifurcation and Chaos. 24: 1450045. DOI: 10.1142/S021812741450045X  0.754
2013 Letellier C, Rodrigues GG, Muir JF, Aguirre LA. Individuality of breathing patterns in patients under noninvasive mechanical ventilation evidenced by chaotic global models. Chaos (Woodbury, N.Y.). 23: 013137. PMID 23556974 DOI: 10.1063/1.4794435  0.352
2013 Letellier C, Denis F, Aguirre LA. What can be learned from a chaotic cancer model? Journal of Theoretical Biology. 322: 7-16. PMID 23318987 DOI: 10.1016/J.Jtbi.2013.01.003  0.301
2013 Aguirre LA, Letellier C. Nonstationarity signatures in the dynamics of global nonlinear models. Chaos (Woodbury, N.Y.). 22: 033136. PMID 23020475 DOI: 10.1063/1.4748852  0.339
2013 Letellier C, Gilmore R. The universal template is a subtemplate of the double-scroll template Journal of Physics a: Mathematical and Theoretical. 46. DOI: 10.1088/1751-8113/46/6/065102  0.496
2013 Rosalie M, Letellier C. Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry Journal of Physics a: Mathematical and Theoretical. 46: 375101. DOI: 10.1088/1751-8113/46/37/375101  0.762
2013 Letellier C, Aguirre LA. Dynamical analysis of fractional-order Rössler and modified Lorenz systems Physics Letters A. 377: 1707-1719. DOI: 10.1016/J.Physleta.2013.05.006  0.323
2012 Ginoux JM, Letellier C. Van der Pol and the history of relaxation oscillations: toward the emergence of a concept. Chaos (Woodbury, N.Y.). 22: 023120. PMID 22757527 DOI: 10.1063/1.3670008  0.316
2012 Letellier C, Aguirre LA. Required criteria for recognizing new types of chaos: application to the "cord" attractor. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 036204. PMID 22587158 DOI: 10.1103/Physreve.85.036204  0.33
2012 NAECK R, BOUNOIARE D, FREITAS US, RABARIMANANTSOA H, PORTMANN A, PORTIER F, CUVELIER A, MUIR J, LETELLIER C. DYNAMICS UNDERLYING PATIENT-VENTILATOR INTERACTIONS DURING NOCTURNAL NONINVASIVE VENTILATION International Journal of Bifurcation and Chaos. 22: 1250030. DOI: 10.1142/S0218127412500307  0.729
2012 Messager V, Gilmore R, Letellier C. Henri Poincaré and the principle of relativity Contemporary Physics. 53: 397-415. DOI: 10.1080/00107514.2012.721300  0.482
2012 Kerfourn A, Laval L, Letellier C. Relation between synchronization of a ring of coupled Rössler systems and observability Matec Web of Conferences. 1: 07001. DOI: 10.1051/MATECCONF/20120107001  0.685
2012 Naeck R, Portmann A, Freitas U, Portier F, Bounoiare D, Letellier C, Muir J-, Cuvelier A. Modifications polysomnographiques lors de la mise en place d’une VNI au long cours chez les patients insuffisants respiratoires chroniques Revue Des Maladies Respiratoires. 29. DOI: 10.1016/J.Rmr.2011.10.117  0.714
2011 Aguirre LA, Letellier C. Investigating observability properties from data in nonlinear dynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 066209. PMID 21797463 DOI: 10.1103/Physreve.83.066209  0.348
2011 Amroun-Aliane D, Pastur L, Letellier C. Defects in spatiotemporal diagrams and their relations to phase coherence and lack of observability. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 056212. PMID 21728635 DOI: 10.1103/Physreve.83.056212  0.314
2011 Rodrigues GG, Aguirre LA, Cuvelier A, Muir JF, Letellier C. Global models for patient-ventilator interactions in noninvasive ventilation with asynchronies. Computers in Biology and Medicine. 41: 253-64. PMID 21435639 DOI: 10.1016/J.Compbiomed.2011.02.009  0.316
2010 Letellier C, Aguirre LA. Interplay between synchronization, observability, and dynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 016204. PMID 20866704 DOI: 10.1103/Physreve.82.016204  0.311
2010 LETELLIER C, MESSAGER V. INFLUENCES ON OTTO E. RÖSSLER'S EARLIEST PAPER ON CHAOS International Journal of Bifurcation and Chaos. 20: 3585-3616. DOI: 10.1142/S0218127410027854  0.302
2010 Gilmore R, Ginoux JM, Jones T, Letellier C, Freitas US. Connecting curves for dynamical systems Journal of Physics a: Mathematical and Theoretical. 43. DOI: 10.1088/1751-8113/43/25/255101  0.546
2009 Letellier C, Aguirre LA, Freitas US. Frequently asked questions about global modeling. Chaos (Woodbury, N.Y.). 19: 023103. PMID 19566238 DOI: 10.1063/1.3125705  0.303
2009 Aguirre LA, Letellier C. Modeling Nonlinear Dynamics and Chaos: A Review Mathematical Problems in Engineering. 2009: 1-35. DOI: 10.1155/2009/238960  0.308
2009 Ginoux J, Letellier C. Flow curvature manifolds for shaping chaotic attractors: I. Rössler-like systems Journal of Physics a: Mathematical and Theoretical. 42: 285101. DOI: 10.1088/1751-8113/42/28/285101  0.337
2009 Letellier C, Gilmore R. Poincaré sections for a new three-dimensional toroidal attractor Journal of Physics a: Mathematical and Theoretical. 42. DOI: 10.1088/1751-8113/42/1/015101  0.548
2009 Letellier C, Amroun D, Martel G. Intermittencies on tori: A way to characterize them Chaos, Solitons & Fractals. 39: 479-485. DOI: 10.1016/J.Chaos.2007.01.090  0.317
2008 Letellier C, Moroz IM, Gilmore R. Comparison of tests for embeddings. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 78: 026203. PMID 18850917 DOI: 10.1103/Physreve.78.026203  0.497
2008 Letellier C, Messager V, Gilmore R. From quasiperiodicity to toroidal chaos: analogy between the Curry-Yorke map and the van der Pol system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 77: 046203. PMID 18517706 DOI: 10.1103/Physreve.77.046203  0.519
2008 Aguirre LA, Bastos SB, Alves MA, Letellier C. Observability of nonlinear dynamics: normalized results and a time-series approach. Chaos (Woodbury, N.Y.). 18: 013123. PMID 18377074 DOI: 10.1063/1.2885386  0.342
2008 Letellier C, Rabarimanantsoa H, Achour L, Cuvelier A, Muir JF. Recurrence plots for dynamical analysis of non-invasive mechanical ventilation. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 366: 621-34. PMID 17698467 DOI: 10.1098/Rsta.2007.2114  0.32
2008 Letellier C. Symbolic sequence analysis using approximated partition Chaos, Solitons & Fractals. 36: 32-41. DOI: 10.1016/J.Chaos.2006.06.025  0.3
2008 Aguirre LA, Letellier C, Maquet J. Forecasting the Time Series of Sunspot Numbers Solar Physics. 249: 103-120. DOI: 10.1007/S11207-008-9160-5  0.312
2007 Letellier C, Gilmore R, Jones T. Peeling bifurcations of toroidal chaotic attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 066204. PMID 18233901 DOI: 10.1103/Physreve.76.066204  0.548
2007 Letellier C, Amaral GF, Aguirre LA. Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models. Chaos (Woodbury, N.Y.). 17: 023104. PMID 17614658 DOI: 10.1063/1.2645725  0.326
2007 Moroz IM, Letellier C, Gilmore R. When are projections also embeddings? Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 046201. PMID 17500972 DOI: 10.1103/Physreve.75.046201  0.535
2007 Rabarimanantsoa H, Achour L, Letellier C, Cuvelier A, Muir JF. Recurrence plots and Shannon entropy for a dynamical analysis of asynchronisms in noninvasive mechanical ventilation. Chaos (Woodbury, N.Y.). 17: 013115. PMID 17411251 DOI: 10.1063/1.2435307  0.325
2007 Maquet J, Letellier C, Aguirre LA. Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems. Journal of Mathematical Biology. 55: 21-39. PMID 17340139 DOI: 10.1007/S00285-007-0075-9  0.316
2007 Gilmore R, Letellier C, Romanazzi N. Global topology from an embedding Journal of Physics a: Mathematical and Theoretical. 40: 13291-13297. DOI: 10.1088/1751-8113/40/44/010  0.516
2007 Letellier C, Gilmore R. Symmetry groups for 3D dynamical systems Journal of Physics a: Mathematical and Theoretical. 40: 5597-5620. DOI: 10.1088/1751-8113/40/21/011  0.54
2006 Letellier C. Estimating the Shannon entropy: recurrence plots versus symbolic dynamics. Physical Review Letters. 96: 254102. PMID 16907306 DOI: 10.1103/Physrevlett.96.254102  0.315
2006 Amaral GF, Letellier C, Aguirre LA. Piecewise affine models of chaotic attractors: the Rossler and Lorenz systems. Chaos (Woodbury, N.Y.). 16: 013115. PMID 16599746 DOI: 10.1063/1.2149527  0.353
2006 Letellier C, Aguirre LA, Maquet J, Gilmore R. Evidence for low dimensional chaos in sunspot cycles Astronomy & Astrophysics. 449: 379-387. DOI: 10.1051/0004-6361:20053947  0.545
2006 Letellier C, Aguirre L, Maquet J. How the choice of the observable may influence the analysis of nonlinear dynamical systems Communications in Nonlinear Science and Numerical Simulation. 11: 555-576. DOI: 10.1016/J.Cnsns.2005.01.003  0.368
2006 Letellier C, Roulin E, Rössler OE. Inequivalent topologies of chaos in simple equations Chaos, Solitons & Fractals. 28: 337-360. DOI: 10.1016/J.Chaos.2005.05.036  0.304
2005 Letellier C, Aguirre LA. Graphical interpretation of observability in terms of feedback circuits. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 72: 056202. PMID 16383722 DOI: 10.1103/Physreve.72.056202  0.341
2005 Letellier C, Tsankov TD, Byrne G, Gilmore R. Large-scale structural reorganization of strange attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 72: 026212. PMID 16196689 DOI: 10.1103/Physreve.72.026212  0.533
2005 Letellier C, Aguirre LA, Maquet J. Relation between observability and differential embeddings for nonlinear dynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 71: 066213. PMID 16089855 DOI: 10.1103/Physreve.71.066213  0.361
2005 Aguirre LA, Letellier C. Observability of multivariate differential embeddings Journal of Physics a: Mathematical and General. 38: 6311-6326. DOI: 10.1088/0305-4470/38/28/004  0.332
2004 Byrne G, Gilmore R, Letellier C. Distinguishing between folding and tearing mechanisms in strange attractors. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 056214. PMID 15600735 DOI: 10.1103/Physreve.70.056214  0.49
2004 Maquet J, Letellier C, Aguirre LA. Scalar modeling and analysis of a 3D biochemical reaction model. Journal of Theoretical Biology. 228: 421-30. PMID 15135040 DOI: 10.1016/J.Jtbi.2004.02.004  0.334
2004 Aguirre LA, Lopes RA, Amaral GF, Letellier C. Constraining the topology of neural networks to ensure dynamics with symmetry properties. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 69: 026701. PMID 14995583 DOI: 10.1103/Physreve.69.026701  0.306
2004 Bultel A, Letellier C, Bourdon A. Dynamical analysis of a helium glow discharge. I A model Physics Letters A. 323: 267-277. DOI: 10.1016/J.Physleta.2004.01.067  0.309
2003 Gilmore R, Letellier C. Dressed symbolic dynamics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 67: 036205. PMID 12689151 DOI: 10.1103/Physreve.67.036205  0.513
2003 Letellier C, Vallée O. Analytical results and feedback circuit analysis for simple chaotic flows Journal of Physics a: Mathematical and General. 36: 11229-11245. DOI: 10.1088/0305-4470/36/44/004  0.344
2003 Lainscsek C, Letellier C, Gorodnitsky I. Global modeling of the Rössler system from the z-variable Physics Letters, Section a: General, Atomic and Solid State Physics. 314: 409-427. DOI: 10.1016/S0375-9601(03)00912-5  0.33
2003 Letellier C, Aguirre L, Maquet J, Lefebvre B. Analogy between a 10D model for nonlinear wave–wave interaction in a plasma and the 3D Lorenz dynamics Physica D: Nonlinear Phenomena. 179: 33-52. DOI: 10.1016/S0167-2789(03)00004-6  0.348
2002 Letellier C, Aguirre LA. Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables. Chaos (Woodbury, N.Y.). 12: 549-558. PMID 12779585 DOI: 10.1063/1.1487570  0.345
2002 Letellier C, Lassalles JP, Norris V, Ripoll C, Thellier M. Quasi-periodic behaviour in a model for the lithium-induced, electrical oscillations of frog skin. Comptes Rendus Biologies. 325: 917-25. PMID 12481685 DOI: 10.1016/S1631-0691(02)01507-X  0.319
2002 Letellier C, Werny P, Malasoma JM, Gilmore R. Multichannel intermittencies induced by symmetries. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 66: 036220. PMID 12366237 DOI: 10.1103/Physreve.66.036220  0.486
2002 Letellier C. Topological analysis of chaos in a three-variable biochemical model. Acta Biotheoretica. 50: 1-13. PMID 12000147 DOI: 10.1023/A:1014737424752  0.357
2002 AGUIRRE LA, MAQUET J, LETELLIER C. INDUCED ONE-PARAMETER BIFURCATIONS IN IDENTIFIED NONLINEAR DYNAMICAL MODELS International Journal of Bifurcation and Chaos. 12: 135-145. DOI: 10.1142/S021812740200419X  0.333
2002 Letellier C, Aziz-Alaoui M. Analysis of the dynamics of a realistic ecological model Chaos, Solitons & Fractals. 13: 95-107. DOI: 10.1016/S0960-0779(00)00239-3  0.334
2001 Letellier C, Malasoma JM. Unimodal order in the image of the simplest equivariant chaotic system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 64: 067202. PMID 11736316 DOI: 10.1103/Physreve.64.067202  0.341
2001 Lainscsek CS, Letellier C, Schürrer F. Ansatz library for global modeling with a structure selection. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 64: 016206. PMID 11461366 DOI: 10.1103/Physreve.64.016206  0.333
2001 Letellier C, Gilmore R. Covering dynamical systems: Twofold covers Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 63: 1-10. DOI: 10.1103/Physreve.63.016206  0.555
2001 Aguirre LA, Freitas US, Letellier C, Maquet J. Structure-selection techniques applied to continuous-time nonlinear models Physica D: Nonlinear Phenomena. 158: 1-18. DOI: 10.1016/S0167-2789(01)00313-X  0.315
1998 Letellier C, Maquet J, Sceller LL, Gouesbet G, Aguirre LA. On the non-equivalence of observables in phase-space reconstructions from recorded time series Journal of Physics a: Mathematical and General. 31: 7913-7927. DOI: 10.1088/0305-4470/31/39/008  0.314
1998 Reiterer P, Lainscsek C, Schürrer F, Letellier C, Maquet J. A nine-dimensional Lorenz system to study high-dimensional chaos Journal of Physics a: Mathematical and General. 31: 7121-7139. DOI: 10.1088/0305-4470/31/34/015  0.345
1998 Letellier C, Maquet J, Labro H, Sceller LL, Gouesbet G, Argoul F, Arnéodo A. Analyzing Chaotic Behavior in a Belousov−Zhabotinskyi Reaction by Using a Global Vector Field Reconstruction The Journal of Physical Chemistry A. 102: 10265-10273. DOI: 10.1021/Jp982219U  0.306
1997 Letellier C, Sceller LL, Gouesbet G, Lusseyran F, Kemoun A, Izrar B. Recovering deterministic behavior from experimental time series in mixing reactor Aiche Journal. 43: 2194-2202. DOI: 10.1002/Aic.690430906  0.304
1996 LETELLIER C, GOUESBET G, RULKOV N. TOPOLOGICAL ANALYSIS OF CHAOS IN EQUIVARIANT ELECTRONIC CIRCUITS International Journal of Bifurcation and Chaos. 6: 2531-2555. DOI: 10.1142/S0218127496001624  0.318
1996 Letellier C, Dutertre P, Reizner J, Gouesbet G. Evolution of a multimodal map induced by an equivariant vector field Journal of Physics a: Mathematical and General. 29: 5359-5373. DOI: 10.1088/0305-4470/29/17/012  0.311
1996 Letellier C, Gouesbet G. Topological Characterization of Reconstructed Attractors Modding Out Symmetries Journal De Physique Ii. 6: 1615-1638. DOI: 10.1051/Jp2:1996152  0.325
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