Accueil du site > Plan du site
Plan du site
A research group
Articles
- A Team
- Collaborations
- Publications
- Books
- 1. Le Chaos dans la nature (2006)
- 2. The Symmetry of Chaos (2007)
- 3. Introduction à la circulation des Fluides Physiologiques (2011)
- 5. Topology and Dynamics of Chaos
- 6. Introduction à la circulation des Fluides Physiologiques (2017)
- 7. Chaos in Nature (2019)
- 8. Chaos (2020)
- Introduction à la circulation des fluides physiologiques (2022)
- Chapters in Book
- Papers
- Ph.D. Thesis
- 1994 Topological characterization and global modeling of chaotic attractors
- 1999 Nonlinear analysis of dynamics underlying cylindrical liquid jets
- 2004 Control and diagnosis oriented modelling of the compression ignition engine
- 2004 Spatio-temporal dynamics in a monomode laser
- 2005 Asynchronisms in patient-ventilator interactions in noninvasive ventilation
- 2008 Quality of patient-ventilator interactions in nocturn noninvasive ventilation
- 2011 Cardio-respiratory follow-up of infatns with sudden death risk
- 2011 Noise titration for detecting determinism and nonlinearity in dynamics underlying biomedical data
- 2014 Composition law of branched manifolds for describing chaotic attractors bounded by high-genus torus
- 2015 Comparative study of home ventilator performances and analysis of patient-ventilator interactions in noninvasive ventilation
- 2015 Deterministic approach of cancer dynamics : toward an individualization of pronostic for cancer evolution
- 2015 Modeling the cardio-respiratory system : cardiac remodeling and patient-ventilator interaction
- 2017 Individualization of predictive models for tumor growth
- Books
- Research Topics
- Teaching
Algorithms
Articles
- Computing a bifurcation diagram
- Computing the dynamical complexity
- Estimating Shannon Entropy from Recurrence Plots
- Estimating the minimum embedding dimension
- Fitting polynomials for computing time derivatives
- Global Modeling Procedure for R
- Templex : the tool to overstep the barrier of the fourth dimension
- Topological characterization of 3D attractors
Collaborators
Articles
Experimental data
Articles
- Breathing patterns during noninvasive mechanical ventilation
- Canadian Lynx counted by the Hudson Bay Company
- Chaotic seasonal variations of plague in India (1896-1911)
- Copper electrodissolution in phosphoric acid
- Covered sunspot data
- EEG during noninvasive mechanical ventilation
- Homoclinic behavior in the Belousov-Zhabontinski reaction
- Patient-ventilator synchronization during non-invasive ventilation
News
Articles
- Benoit Mandelbrot : a life for fractals
- DYnamique et COntrôle des Croissances TUmorales
- Edward N. Lorenz: a butterfly for wheather forecasts
- From Laser Dynamics to Topology of Chaos
- From Nonlinear Dynamics to BioMedicine
- From the nonlinear dynamical systems theory to observational chaos
- Georg Duffing : from engineering to nonlinear dynamics
- Les ErgoRameurs
- Memristor : Past, present & Future
- Abstracts
- Analysis of a four-state model for tumor growth dynamics and mathematical methods of intervention
- Characterization of the effects of bevacizumab on the tumor vascular dynamics to optimize the association anti-VEGF / radiation therapy
- Classical mathematical laws for description and prediction of experimental tumor growth
- Comparison of three modeling approaches in CEUS studies
- DEs, DCs and Doses : Mathematical approaches to designing cancer vaccines
- Graph-based mathematical morphology for the characterization of tumor growth in digital pathology
- How the growth rate of host cells affects cancer risk in a deterministic way
- Mathematical modeling of the microtubule dynamic instabilities
- Modeling gene networks : application to the study of cell transformation
- Mutli-scale modeling and oxygen impact simulation on temporal evolution of rectum cancer treatment by radiotherapy
- Predicting lung tumor evolution during radiotherapy from PET images using a patient specific model
- Quantitative models of glioma : from data at the tissue scale to a model of radiotherapy
- Spatial avascular growth of tumor in a homogeneous environment
- Survival in a phase III randomized trial comparing the “sentinel” web-application versus a standard imaging follow-up for lung cancer patients : first results
- Vascular remodeling during radiotherapy
- Wavelet-based multifractal analysis of dynamic infrared thermograms and X-ray mammograms to assist in early breast cancer diagnosis
- Otto chaos abstracts
- A new class of Ansatz library for non-autonomous systems
- A tentative history of conservative chaos
- An NMR view of nonlinear magnetization dynamics : in liquid and solid, at low and high polarizations
- Application of fractional chaotic system to explore human gait dynamics
- Chaos in the peroxidase-oxidase reaction : The DOP model revisited
- Compartment model with retarded transition rates
- From Hamiltonian to dissipative chaos and back : A primer of active particles
- From Lattès’ results to the notion of focal point
- From the Rössler attractor to the templex
- Governing equations and topology extracted from observational time series in environmental sciences
- Hopf-like bifurcation in mixed mode oscillation in a fractional-order FitzHugh-Nagumo model
- Multistability in the spin-orbit dynamics of celestial bodies
- Numerical approaches for investigating the chaotic behavior of multidimensional Hamiltonian systems
- On topological synchronization of Rössler systems
- Otto Rössler 1970-79 : From chemical reactions To the topology of chaos
- Predicting and controlling complex cardiac excitation waves in the heart
- Similarities and differences between the control theory for discrete and continuous time chaotic systems
- Statistics of attractor embeddings in reservoir computing
- The templex approach in Lagrangian analysis
- Using auxiliary information in model building for nonlinear dynamics : An application in robotics
- Would chaotic dynamical systems be more beautiful if they were useless ?
- The challenging systems
Scientific Mediations
Articles
- 0. 2004 Exposition : Le chaos dans la nature
- 1. 2005 La Danse du Chaos
- 2. 2005 Einstein et la physique du XXe siècle naissant
- 3. 2008 La combustion, qu’est-ce que c’est ?
- 4. 2009 Johannes Kepler & Galilée : de l’héliocentrisme à une astronomie physique
- 5. 2012 Henri Poincaré, mathématicien, ingénieur, astronome, philosophe
- 6. 2013 Le modèle atomique de Bohr
- 9. 2021 Des découvertes par des scientifiques émotifs
- Temps et Mouvement : une dualité incontournable
Some dynamical systems
- 3D flows
- 1963 The Lorenz system
- 1976 The Rössler system
- 1978 Torn Unimodal Chaos
- 1980 Nonlinearly coupled waves in plasma
- 1981 The Burke & Shaw system
- 1982 A model for plasma instabilities
- 1984 A 3D model for global atmospheric circulation
- 1984 A piecewise system for quasi-periodic and chaotic motions
- 1984 Cord toroidal chaos
- 1986 The Nosé-Hoover system (Sprott A system)
- 1987 A normal form for the Belousov-Zhabotinski reaction
- 1992 The Genesio-Tesi system
- 1994 Unimodal toroidal chaos
- 1998 Inverted smooth unimodal chaos
- 1999 A genus-5 multispiral attractor
- 1999 A semi-conductor laser driven by a light beam
- 2007 A 3D symmetrical toroidal chaos
- 2010 Multi-folded toroidal chaos
- 2011 Chaotic Blazhko effect in RR Lyrae stars
- 2012 The "cord" attractor
- Lorenz-like systems
- 1958 A simple model for the earth magnetic field
- 1972 The Malkus water wheel
- 1978 Decay confinement for parametric instability
- 1980 The Shimizu-Morioka system
- 1981 A possible model for the onset of turbulence
- 1981 Rigid body-motion with linear feedback
- 1988 : A chaotic model of El Niño
- 1990 A model for a simple dynamo system
- 1992 A model for weakly nonlinear double convection
- 1992 A thermal convection loop
- 1999 The "Chen-Ueta" system
- Introduction
- Biological & chemical models
- Chaos in electronic circuits
- Discrete maps
- Driven systems
- Higher dimensional flows
- Minimal systems
RSS 2.0