Bibliographie

[ANI01]

Vadim S. Anishchenko, Vladimir Astakhov , Alexander Neiman , Tatjana Vadivasova, Lutz Schimansky-Geier . ''Nonlinear Dynamics of Chaotic and Stochastic Systems'' 2e Ed., Verlag Berlin Heidelberg: Springer (March 10, 2003) 385 pp.


[ARB01]

Michael A. Arbib. ''The Handbook of Brain Theory and Neural Networks''. 2edition, Cambridge, Mass : MIT Press (Novembre 2002), 1308 pp.


[AUB01]

D. Aubin et A. Dahan Dalmedico. ''Writing the History of Dynamical Systems and Chaos: Longue Durée and Revolution, Disciplines and Cultures''. Historia Mathematica (2002), vol. 29, pp. 273-339.


[AUB02]

David Aubin, Amy Dahan. ''Systèmes dynamiques et Chaos : Convergences et recompositions, un aperçu historique''. Apparu dans Chaos & Systèmes dynamiques: éléments pour un épistémologie, dir. Sara Franceschelli, Tatiana Roque & Michel Paty. Paris: Hermann, (11 décembre 2007), pp. 327-356.


[BAR01]

Barnett W.A. "Comment on ‘chaotic monetary dynamics with confidence' ". Journal of Macroeconomics (2006), Vol. 28 pp. 253- 255.

[BAT01]

Michael Batty et Paul M. Torrens. ''Modeling Complexity : The Limits to Prediction''. Cybergeo, 12th European Colloquium on Quantitative and Theoretical Geography.St-Valery-en-Caux, France, Septembre 7-11, 2001. article 201, mis en ligne le 04 Décembre 2001, modifié le 11 mai 2007. URL : <http://www.cybergeo.eu/index1035.html>. Consulté le 14 juin 2009.


[BEL01]

I.Belmouhoub et M. Djemaï. ''Synchronization of Discrete-Time Chaotic Systems for Secured Data Transmission''. Chaos in Automatic Control : From Theory Towards Engineering Application (2005), Edited by W. Perruquetti and J.P. Barbot, CRC Press Book, pp. 527-551.


[BER01]

BÉRUBÉ, Louise. ''Terminologie de neuropsychologie et de neurologie du comportement''. Montréal, Les Éditions de la Chenelière Inc.,1991, 176 pp., p. 140.


[BIS01]

Steven Bishop, Tomasz Kapitaniak. ''The Illustrated Dictionary of Nonlinear Dynamics and Chaos'' : John Wiley & Sons (Mars 1999), 267 pp.


[BLU01]

L. Blum, M. Shub, and S. Smale. ''On a theory of Computation and Complexity Over the Real Numbers: NP-Completeness, Recursive Functions and Universal Machines'', Bulletin (new series) of the american mathematical society, Vol.21, N.1 (1989), pp. 1-46.

[BUR01]

Teodor Burghelea, Enrico Segre, Israel Bar-Joseph, Alex Groisman, and Victor Steinberg1 . ''Chaotic flow and efficient mixing in a micro-channel with a polymer solution''. Phys. Rev. E., Vol.69, N.6, (2004), pp. 066305-066312.


[CHA01]

Chappell, D., Panagiotidis, T. "Using the Correlation Dimension to detect Non-Linear Dynamics: Evidence from the Athens Stock Exchange". Econometrics EconWPA (2005), 0504005. URL : <http://econpapers.repec.org/RePEc:wpa:wuwpem:0504005.> Consulté le 16 juin 2009.


[CHA02]

Chaovalitwongse, W.A. Ya-Ju Fan Sachdeo, R.C. Rutgers. ''On the Time Series K-Nearest Neighbor Classification of Abnormal Brain Activity''. Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions (Nov. 2007) Vol. 37, Issue 6, pp. 1005-1016.


[CVI01]

P. Cvitanov, R. Artuso, R. Mainieri, G. Tanner and G. Vattay, '' Chaos: Classical and Quantum''. version 9.2.3, Copenhagen : Niels Bohr Institute, (Feb 26 2002) Disponible sur <ChaosBook.org>.


[DEV01]

Robert L. DEVANEY, ''A First Course in Chaotic Dynamical Systems''. Westview Press, (1992). 320 pp.


[DIT01]

W. L. Ditto, L. M. Pecora, "Mastering Chaos" Scientific American, (Aout 1993) pp. 77-84.


[FAL01]

I. Falconer, G. Gottwald, I. Melbourne and K. Wormnes. ''Application of the 0-1 Test for Chaos to Experimental Data''. SIAM J. Appl. Dyn. Sys. Vol. 6 (2007) pp. 395-402.


[FAN01]

Xiao Fan Wang. ''Controlling bifurcation and chaos in Internet congestion control system''. Intelligent Control and Automation, Proceedings of the 4th World Congress on Volume 1, Issue , (2002) pp. 573 - 576.


[FLE01]

Dorothy Fleischer, HST, ''Research aims to separate noise from chaos in subtle heart rhythms'', MIT Tech Talk on (August 29, 2001). Disponible sur:
<
http://web.mit.edu/newsoffice/2001/chaos-0829.html> consulté le 16 juin 2009.


[FRA01]

Aleksandr L. Fradkov. ''Cybernetical Physics: From Control of Chaos to Quantum Control'' Springer, (2007) 241 pp.


[GAL01]

Akemi Galvez Tomida. ''Matlab Toolbox and GUI for Analyzing One-Dimensional Chaotic Maps''. International Conference on Computational Sciences and Its Applications ICCSA (2008), pp. 321-330.


[GAU01]

Gautama, T.; Mandic, D.P.; Van Hulle, M.M. ''A novel method for determining the nature of time series''. IEEE Transactions on Biomedical Engineering Volume 51, Issue 5, (May 2004) pp. 728 - 736.


[GID01]

M.Gidea and D.Quaid, "On Wesner's method of searching for chaos on low frequency". Economics Bulletin, Vol.3, N°42, (2005) pp. 1-8


[GOL01]

Frank Gollas, Ronald Tetzlaff. ''Analysis of EEG-signals in epilepsy: spatio-temporal models''. 11th International Workshop on Cellular Neural Networks and their Applications Santiago de Compostela, Spain, (14-16 July 2008), pp 96-101.


[GON01]

Julián J. González, Juan J. Cordero, Manuel Feria, et Ernesto Pereda. ''Detection and sources of nonlinearity in the variability of cardiac R-R intervals and blood pressure in rats'' Am. J. Physiol: Heart. Circ. Physiol. Vol.279 Issue 6 (Dec 2000), pp.3040 – 3046.


[GOT01]

G. A. Gottwald and I. Melbourne. ''A New Test for Chaos in Deterministic Systems''. Proc. R. Soc. London, Ser. A 460 ( 2004), pp. 603–611.


[GOT02]

G. Gottwald and I. Melbourne. ''Testing for chaos in deterministic systems with noise''. Physica D. 212 (2005), pp. 100-110.


[GOT03]

Gottwald, Georg A.; Melbourne, Ian, ''Comment on 'Reliability of the 0-1 test for chaos' ''. Physical Review E, vol. 77, Iss. 2, Pt. 2 (2006), pp. 028201- 028202.


[GUA01]

S. Guan, C.-H. Lai, and G. W. ''Phase synchronization between two essentially different chaotic systems'' Wei, Phys. Rev. Vol. 72, Iss. 1, (2005) pp. 016205 – 016212.


[GUA02]

Guan, Shuguang; Li, Kun; Lai, C.-H., ''Chaotic synchronization through coupling strategies''. Chaos, Volume 16, Issue 2, (2006) pp. 023107-023109


[GUO01]

Jun Guo Lu; Hill, D.J. ''Impulsive Synchronization of Chaotic Lurapos;e Systems by Linear Static Measurement Feedback: An LMI Approach''. IEEE Transactions on Circuits and Systems II: Express Briefs, Volume 54, Issue 8, (Aug. 2007) pp. 710-714.


[HAI01]

S. M. Haider Aejaz. ''Modeling chaos in the heart''. PIMCS, Lahore, Pakistan, NCET, (December 18, 2004) pp 88-92.


[HAN01]

Kai T. Hansen. ''Symbolic Dynamics in Chaotic Systems'' Thesis presented for the degree Dr. Philos. at the Physic Departement, University of Oslo, Norway, .September, 1993. 318 pp.


[HIR01]

Hirsch M., Smale S., Devaney R. ''Differential equations, dynamical systems and an introduction to chaos''. 2e Edition, USA, Elsevier Academic Press (2004), 432 pp.


[HOG01]

S. John Hogan. ''Nonlinear dynamics and chaos: where do we go from here''.CRC Press, (2002) 358 pp.


[HU001]

Jing Hu, Wen-wen Tung, Jianbo Gao et al. ''Reliability of the 0-1 test for chaos''. Phys. Rev. Vol. 72, Iss. 5, Pt. 2 (Nov. 2005) pp. 0562071- 0562075.


[HU001]

Hu, J, Gao, J, Principe, J. ''Analysis of Biomedical Signals by Lemepl-Ziv complexity: the effect of finite data size''. IEEE Trans. Biomed. Engg. Vol. 53, N.12, (2006), pp. 2606-2609.


[IVA01]

Vladimir G. Ivancevic. ''High-Dimensional Chaotic and Attractor Systems''. 1 edition, Netherlands: Springer; (Fév. 2007), 720 pp.


[JOV01]

Jovic, A.; Bogunovic, N. ''Analysis of ECG records using ECG Chaos Extractor platform and Weka system''. Information Technology Interfaces, 30th International Conference, (23-26 Juin 2008), pp. 347-352.


[JUD01]

Kevin Judd, Michael Small. ''Towards Long-Term Prediction''. Physica D vol. 136, (2000), pp. 31–44.


[JUD02]

Kevin Judd. ''Failure of maximum likelihood methods for chaotic dynamical systems''. Physical Review E, vol. 75, Issue 3, (2007), pp 1-7.


[KAN01]

R. Hegger, H. Kantz, and T. Schreiber. ''Practical implementation of nonlinear time series methods: The TISEAN package''. CHAOS vol. 9 (1999), pp. 413-435.


[KAN02]

Holger Kantz, Thomas Schreiber. ''Nonlinear Time Series Analysis''. 2e edition, Cambridge University Press, (Jan. 2004) 388 pp.


[KAR01]

Alexander Kraskov. ''Synchronization and Interdependence Measures and their Applications to the Electroencephalogram of Epilepsy Patients and Clustering of Data''. John von Neumann-Institut für Computing (NIC). (May 2004), 106 pp.


[KHA01]

Khan, S., Ganguly, A. R., et Saigal, S. ''Detection and predictive modeling of chaos in finite hydrological time series''. Nonlinear Processes in Geophysics vol. 12, (2005) pp. 41-53.


[KIT01]

Kitzbichler MG, Smith ML, Christensen SR, Bullmore E ''Broadband Criticality of Human Brain Network Synchronization''. PLoS Comput Biol, Vol. 5, No. 3. e1000314 (2009), Disponible sur: <http://dx.plos.org/10.1371/journal.pcbi.1000314>

[KOR01]

Henri Korn , Philippe Faure. ''Is there chaos in the brain? II. Experimental evidence and related models''. Comptes Rendus Biologies Vol. 326, N. 9, (septembre 2003) pp. 787-840.


[KOS01]

Eric J. Kostelich, Daniel P. Lathrop. ''The Prediction of Chaotic Time Series: a Variation on the Method of Analogues''. WAS & G.N.A (Eds.), Time series prediction: Forcasting the futur and understanding the past, Addison-Wesley (1992), pp. 283-295.


[KRI01]

Bindu M. Krishna, P. Indic , Usha Nair , R. Pratap. ''Quantifying chaotic synchronization using error evolution''. Commun Nonlinear Sci. Numer. Simulat. Vol. 14 (2009) pp. 3682–3692.


[KUG01]

D. Kugiumtzis, and P. G. Larsson. "Linear and Nonlinear Analysis of EEG for the Prediction of Epileptic Seizures". Proceedings of the 1999 Workshop ''Chaos in Brain?''. World Scientific, Singapore,(2000) pp 329 – 333.


[LAY01]

Alan LAYEC. ''Développement de modèles de CAO pour la simulation système des systèmes de communication. Application aux communications chaotiques''. Thèse N°5-2006, L’UNIVERSIT´E DE LIMOGES, FRANCE, Soutenue le 14 Fév. 2006, 198 pp.


[LEI01]

THEODOR LEIBER. ''On the Impact of Deterministic Chaos on Modern Science and Philosophy of Science: Implications for the Philosophy of Technology?''. ADVANCES IN THE PHILOSOPHY OF TECHNOLOGY: PROCEEDINGS OF A MEETING OF THE INTERNATIONAL ACADEMY OF THE PHILOSOPHY OF SCIENCE, KARLSRUHE, GERMANY, (MAY 1997), N2 , pp. 23-50.


[LIC01]

Licinio J. ''The autonomic nervous system and its impact on neuroendocrine regulation''. Bolis CL, Licinio J, eds. The Autonomic Nervous System. World Health Organization, Geneva, (1999), pp 53-65.


[LIU01]

Tung Liu, Clive W. J. Granger et W P Heller. ''Using the Correlation Exponent to Decide whether an Economic Series is Chaotic''. Journal of Applied Econometrics, 1992, vol. 7, issue S, pp. 25-39.


[LUO01]

Luo X, Nakamura T, Small M. ''Surrogate Test to Distinguish between Chaotic and Pseudoperiodic Time Series''. Phys. Rev. E. Vol. 71, Iss. 2, pt. 2; (2005), pp. 0262301-0262308

[MAL01]

Jaakko Malmivuo et Robert Plonsey. ''Bioelectromagnetism - Principles and Applications of Bioelectric and Biomagnetic Fields''. 1e Edition, New York: Oxford University Press, (1995), 512 pp.

[MAY01]

Robert M May. ''Simple Mathematical Models with Very Complicated Dynamics'', Nature, Vol. 261, No. 5560. (10 June 1976), pp. 459-467.


[NUN01]

Nunez, M.; Morales, R.; Triguero, F. ''Automatic Discovery of Rules for Predicting Network Management Events''. IEEE Journal on Selected Areas in Communications, Volume 20, Issue 4, (May 2002), pp. 736 – 745.


[OUT01]

Bertrand Boutillier, Pr. Gérard Outrequin. ''Neuro-Anatomie Fonctionnelle''.(version 2007) Disponible sur <www.anatomie-humaine.com>.


[PAL01]

Milan Palus. ''Testing For Nonlinearity Using Redundancies: Quantitative and Qualitative Aspects''. Physica D, Vol. 80, (1995) pp. 86—205.


[PEC01]

Louis M. Pecora, Thomas L. Carroll, Gregg A. Johnson, et Douglas J. Mar. ''Fundamentals of synchronization in chaotic systems, concepts, and applications'' Chaos 74, (1997); pp. 520-543.


[POO01]

Chi-Sang Poon et Mauricio Barahona. ''Titration of chaos with added noise''. Proceedings of the National Academy of Sciences USA June 19, 2001 vol. 98, N. 13, pp 7107–7112.


[POR01]

Porta, A. Guzzetti, S. Furlan, R. Gnecchi-Ruscone, T. Montano, N. Malliani ''Complexity and Nonlinearity in Short-Term Heart Period Variability: Comparison of Methods Based on Local Nonlinear Prediction''. IEEE Transactions on Biomedical Engineering, Jan. 2007 Vol. 54, Iss. 1 pp. 94- 106.


[RAI01]

Vikas Rai et W.M Schaffer. ''Chaos in ecology''. Chaos, Solitons & Fractals Vol. 12, Iss. 2, (2 January 2001), pp.197-203.


[RUB01]

RUBIN, D.M. ''Use of forecasting signatures to help distinguish periodicity, randomness, and chaos in ripples and other spatial patterns''. Chaos, vol. 2, (1992) pp. 525-535.


[SAR01]

Sarbadhikari SN, Chakrabarty K. ''Chaos in the brain: a short review alluding to epilepsy, depression, exercise and lateralization''. Med Eng Phys. Vol. 23, N. 7, (Sep 2001),pp.445-455.


[SCH01]

T. Schreiber et A. Schmitz. ''Surrogate time series''. Physica D vol. 142, Iss. 3-4 (Aout. 2000), pp. 346 – 382.

[SCH02]

Frank Schweitzer. ''Modeling Complexity in Economic and Social Systems'' World Scientific Publishing Company (Fév. 2003), 404 pp.


[SCH03]

H. Schuster Georg. ''Deterministic Chaos - an Introduction''. 4e edition , Wiley, (2005), 288 pp.


[SIL01]

Silva C., Pimentel I.R.; Andrade A.; Foreid J.P.; Ducla-Soares E. ''Correlation Dimension Maps of EEG from Epileptic''. Springer, Brain Topography, Vol. 11, N. 3, (1999), pp. 201-209.


[SLU01]

Slutzky M.W., Cvitanovic P., Mogul D.J. ''Deterministic Chaos and Noise in Three In Vitro Hippocampal Models of Epilepsy''. Springer, Annals of Biomedical Engineering, Vol. 29, N. 7, (Juil. 2001), pp. 607-618.


[SMA01]

Michael Small. ''Applied Nonlinear Time Series Analysis: Applications in Physics, Physiology and Finance''. World Scientific Series on Nonlinear Science, Series A - Vol. 52, (Mars. 2005), 260 pp.


[SPR01]

Julien C. Sprott. ''Chaos and Time-series Analysis''. Oxford University Press, (2003); 507 pp.


[STA01]

Peter Stavroulakis. ''Chaos applications in telecommunications''. CRC Press, (2006), 427 pp.


[THE01]

Theiler, J., Linsay, P. S. et Rubin, D. M. ''Detecting Nonlinearity in Data with Long Coherence Times''. ISanta Fe Institute Studies in the Science of Complexity, Proc. Vol. XV, Addison-Wesley, (1993), pp. 429-455.


[TSO01]

A. A. Tsonis et J. B. Elsner. ''Nonlinear prediction as a way of distinguishing chaos from random fractal sequences''. Nature vol. 358, (16 July 1992) pp. 217 – 220.


[TUC01]

Warwick Tucker. ''The Lorenz attractor exists'' C. R. Acad. Sci. Paris, t. 328, Série I, (1999) pp. 1197-1202.


[WAN01]

Lidong Wang Xiuying Xing Zhenyan Chu. ''On Definitions of Chaos in Discrete Dynamical System'' Young Computer Scientists ICYCS, The 9th International Conference (18-21 Nov. 2008), pp. 2874-2878.


[WIL01]

Samuel R. Wilkin, Michael J. Vinson, ''Nonlinear Forecasting and Detection of Chaos''. Journal of Undergraduate Research in High-Performance Computing , Vol. 3, (1993), pp101-111.


[WIL02]

G P Williams. ''Chaos Theory Tamed''. Washington D.C.:Joseph Henry Press (National Academy of Science), (1997), 532 pp.

[YAM01]

Yoshiharu Yamamoto. ''Detection of Chaos and Fractals from Experimental Time Series''. Modern techniques in neuroscience, Springer, (1999), 1325 pp., pp. 669-687.