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Cited article:
C. Letellier , G. Gouesbet
J. Phys. II France, 6 11 (1996) 1615-1638
This article has been cited by the following article(s):
36 articles
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Nonlinear reconstruction of single-molecule free-energy surfaces from univariate time series
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Symbolic computations of nonlinear observability
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Systematic template extraction from chaotic attractors: II. Genus-one attractors with multiple unimodal folding mechanisms
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Toward a General Procedure for Extracting Templates from Chaotic Attractors Bounded by High Genus Torus
Martin Rosalie and Christophe Letellier International Journal of Bifurcation and Chaos 24 (04) 1450045 (2014) https://doi.org/10.1142/S021812741450045X
Validating the physical model of a chaotic system by topological analysis
Javier Used and Juan Carlos Martín Physical Review E 87 (5) (2013) https://doi.org/10.1103/PhysRevE.87.052921
Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry
Martin Rosalie and Christophe Letellier Journal of Physics A: Mathematical and Theoretical 46 (37) 375101 (2013) https://doi.org/10.1088/1751-8113/46/37/375101
Nonstationarity signatures in the dynamics of global nonlinear models
L. A. Aguirre and C. Letellier Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (3) (2012) https://doi.org/10.1063/1.4748852
Chaos-Based Cryptography
Gonzalo Alvarez, José María Amigó, David Arroyo and Shujun Li Studies in Computational Intelligence, Chaos-Based Cryptography 354 257 (2011) https://doi.org/10.1007/978-3-642-20542-2_8
Differential embedding of the Lorenz attractor
Daniel J. Cross and R. Gilmore Physical Review E 81 (6) (2010) https://doi.org/10.1103/PhysRevE.81.066220
Modeling Nonlinear Dynamics and Chaos: A Review
Luis A. Aguirre, Christophe Letellier and Elbert E. Neher Macau Mathematical Problems in Engineering 2009 (1) (2009) https://doi.org/10.1155/2009/238960
A switching scheme for synthesizing attractors of dissipative chaotic systems
Marius-F. Danca, Wallace K.S. Tang and Guanrong Chen Applied Mathematics and Computation 201 (1-2) 650 (2008) https://doi.org/10.1016/j.amc.2008.01.003
Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models
Christophe Letellier, Gleison F. V. Amaral and Luis A. Aguirre Chaos: An Interdisciplinary Journal of Nonlinear Science 17 (2) (2007) https://doi.org/10.1063/1.2645725
Global topology from an embedding
Robert Gilmore, Christophe Letellier and Nicola Romanazzi Journal of Physics A: Mathematical and Theoretical 40 (44) 13291 (2007) https://doi.org/10.1088/1751-8113/40/44/010
Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom
Nicola Romanazzi, Marc Lefranc and Robert Gilmore Physical Review E 75 (6) (2007) https://doi.org/10.1103/PhysRevE.75.066214
Evaluation of dynamical models: Dissipative synchronization and other techniques
Luis Antonio Aguirre, Edgar Campos Furtado and Leonardo A. B. Tôrres Physical Review E 74 (6) (2006) https://doi.org/10.1103/PhysRevE.74.066203
Large-scale structural reorganization of strange attractors
Christophe Letellier, Tsvetelin D. Tsankov, Greg Byrne and Robert Gilmore Physical Review E 72 (2) (2005) https://doi.org/10.1103/PhysRevE.72.026212
Analogy between a 10D model for nonlinear wave–wave interaction in a plasma and the 3D Lorenz dynamics
C. Letellier, L.A. Aguirre, J. Maquet and B. Lefebvre Physica D: Nonlinear Phenomena 179 (1-2) 33 (2003) https://doi.org/10.1016/S0167-2789(03)00004-6
Dressed symbolic dynamics
Robert Gilmore and Christophe Letellier Physical Review E 67 (3) 036205 (2003) https://doi.org/10.1103/PhysRevE.67.036205
Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables
Christophe Letellier and Luis A. Aguirre Chaos: An Interdisciplinary Journal of Nonlinear Science 12 (3) 549 (2002) https://doi.org/10.1063/1.1487570
Modelling and Forecasting Financial Data
J. Maquet, C. Letellier and G. Gouesbet Studies in Computational Finance, Modelling and Forecasting Financial Data 2 351 (2002) https://doi.org/10.1007/978-1-4615-0931-8_17
Modelling and Forecasting Financial Data
C. Letellier and L. A. Aguirre Studies in Computational Finance, Modelling and Forecasting Financial Data 2 429 (2002) https://doi.org/10.1007/978-1-4615-0931-8_21
Ansatz library for global modeling with a structure selection
Claudia Lainscsek, Christophe Letellier and Ferdinand Schürrer Physical Review E 64 (1) 016206 (2001) https://doi.org/10.1103/PhysRevE.64.016206
Computer evaluation of Kauffman polynomials by using Gauss codes, with a skein-template algorithm
G. Gouesbet and S. Meunier-Guttin-Cluzel Applied Mathematics and Computation 122 (2) 229 (2001) https://doi.org/10.1016/S0096-3003(00)00030-8
Structure-selection techniques applied to continuous-time nonlinear models
Luis A. Aguirre, Ubiratan S. Freitas, Christophe Letellier and Jean Maquet Physica D: Nonlinear Phenomena 158 (1-4) 1 (2001) https://doi.org/10.1016/S0167-2789(01)00313-X
Equivariance identification using delay differential equations
C. Lainscsek, C. Letellier, J. Kadtke, G. Gouesbet and F. Schürrer Physics Letters A 265 (4) 264 (2000) https://doi.org/10.1016/S0375-9601(99)00893-2
Covering dynamical systems: Twofold covers
Christophe Letellier and Robert Gilmore Physical Review E 63 (1) 016206 (2000) https://doi.org/10.1103/PhysRevE.63.016206
Physical determinism in human arterial dynamics
N. Michoux, R. Joannidès, G. Gouesbet, et al. The European Physical Journal Applied Physics 8 (3) 265 (1999) https://doi.org/10.1051/epjap:1999255
Structure selection for global vector field reconstruction by using the identification of fixed points
L. Le Sceller, C. Letellier and G. Gouesbet Physical Review E 60 (2) 1600 (1999) https://doi.org/10.1103/PhysRevE.60.1600
Computer evaluation of Homfly polynomials by using Gauss codes, with a skein-template algorithm
G. Gouesbet, S. Meunier-Guttin-Cluzel and C. Letellier Applied Mathematics and Computation 105 (2-3) 271 (1999) https://doi.org/10.1016/S0096-3003(98)10106-6
On the non-equivalence of observables in phase-space reconstructions from recorded time series
C Letellier, J Maquet, L Le Sceller, G Gouesbet and L A Aguirre Journal of Physics A: Mathematical and General 31 (39) 7913 (1998) https://doi.org/10.1088/0305-4470/31/39/008
Reconstructing a Dynamics from a Scalar Times Series
G. GOUESBET, L. LE SCELLER, C. LETELLIER, et al. Annals of the New York Academy of Sciences 808 (1) 25 (1997) https://doi.org/10.1111/j.1749-6632.1997.tb51652.x
Recovering deterministic behavior from experimental time series in mixing reactor
C. Letellier, L. Le Sceller, G. Gouesbet, F. Lusseyran, A. Kemoun and B. Izrar AIChE Journal 43 (9) 2194 (1997) https://doi.org/10.1002/aic.690430906
Topological Structure of Chaotic Systems
C. LETELLIER and G. GOUESBET Annals of the New York Academy of Sciences 808 (1 Nonlinear Sig) 51 (1997) https://doi.org/10.1111/j.1749-6632.1997.tb51653.x