Chronological List of Publications

Shih-Chiung Lai, Gottfried Mayer-Kress, Jacob J. Sosnoff, Karl M. Newell, Information Entropy Analysis of Discrete Aiming Movements, Acta Psychologica, (in press)

Karl M. Newell, Yeou-Teh Liu, Gottfried Mayer-Kress, Learning in the Brain-Computer Interface: Insights about Degrees of Freedom and Degeneracy from a Landscape Model of Motor Learning, Cognitive Processing - Intl Quarterly of Cognitive Science, doi: 10.1007/s10339-004-0047-6, (in press)

Time Scales and Dimensions of Learning, Yeou-Teh Liu, Gottfried Mayer-Kress, Karl M. Newell, (under review)

Yeou-Teh Liu, Gottfried Mayer-Kress, Karl M. Newell, Qualitative and Quantitative Change in the Dynamics of Motor Learning, (under review)

Hsiu-Hui Chen, Yeou-Teh Liu, Gottfried Mayer-Kress, Karl M. Newell, Learning the Pedalo Locomotion Task, J. Motor Behavior, (in press)

Y.-T. Liu, G. Mayer-Kress, & K. M. Newell, Beyond Curve Fitting to Inferences about Learning , Journal of Motor Behavior, J. Motor Behavior, 36(2), 233-238, 2004 , response to A. Heathcote & S. Brown Beyond Curve Fitting? Comment on Liu, Mayer-Kress, and Newell, J. Motor Behavior, 36(2), 225-232, 2004

Newell, K. M., Liu, Y-T., & Mayer-Kress, G. A Dynamical Systems Interpretation of Epigenetic Landscapes for Infant Motor Development, 2003-10-24, DOI: 10.1016/j.infbeh.2003.08.003, Infant Behavior and Development, Volume 26, Issue 4, December 2003, 449-472

Newell, K. M., Deutsch, K. M., Sosnoff, J. J., & Mayer-Kress, G. (in press). Motor output variability as noise: A default and erroneous proposition? In K. Davids, S. Bennett & K. Newell (Eds.), Variability in the movement system: A multidisciplinary perspective. Champaign, Ill: Human Kinetics.

Carlos Gershenson, Gottfried Mayer-Kress, Atin Das, Pritha Das, Matus Marko, Time-scales, Meaning, and Availability of Information in a Global Brain, arXiv, cs.AI/0305012, 03/07/11

Viktor Mueller, Niels Birbaumer, Hubert Preißl, Christoph Braun, Gottfried Mayer-Kress, Florian Lang, Effects Of Hydration And Hyperventilation On Cortical Complexity, Experimental Brain Research (2003) 150:341-355, DOI 10.1007/s00221-003-1425-5

Hsiu-Hui Chen, Yeou-Teh Liu, Gottfried Mayer-Kress, Quantify The Process Of Learning The Virtual-Volleyball Multiple Segments Task, 4th International Congress of Asian-South Pacific Association of Sport Psychology in Seoul, 03/06/29-07/02, MS 03-013, p 177

G. J. Mayer-Kress, K. Newell, Noise and Chaos in Motor Behavior Models, Proceedings of SPIE Vol. #5110 Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems, 1–4 June 2003, Santa Fe, New Mexico, USA, (SPIE—THE INTERNATIONAL SOCIETY FOR OPTICAL ENGINEERING)

A. Das, G. Mayer-Kress, C. Gershenson, P. Das, Conferences with Internet Web-Casting as Binding Events in a Global Brain: Example Data From Complexity Digest, arXiv, cs.NI/0303023, 03/03/22

Yeou-Teh Liu, Gottfried Mayer-Kress, Karl M. Newell, Beyond Curve Fitting: A Dynamical Systems Account of Exponential Learning in a Discrete Timing Task, Journal of Motor Behavior, June 2003, 35, 197-207.

G. Mayer-Kress, K.M. Deutsch, K.M. Newell, Modeling The Control Of Isometric Force Production With Piece-Wise Linear, Stochastic Maps Of Multiple Time-Scales, Fluctuation and Noise Letters, Vol. 3, No. 1 (2003) L23-L29, doi:10.1142/S0219477503001063

G. Mayer-Kress, K.M. Newell, Stochastic Iterative Maps With Multiple Time-Scales For Modelling Human Motor Behavior, Nonlinear Phenomena in Complex Systems, Vol. 5, No. 4, 418-427, 2002

G. Mayer-Kress, Complex Systems As Fundamental Theory Of Sports Coaching?, Keynote presentation to the 2001 International Sports Coaching Symposium of the Chinese Taipei University Sports Federation, Taichung, Taiwan, 01/11/16-18, arXiv:nlin.AO/0111009 v1 2 Nov 2001

G. Mayer-Kress, Distance Education and the Emergence of Global, Collaborative Learning Networks, presented at 20th ICDE World Conference on Open Learning and Distance Education (D-2001), Duesseldorf, Germany, 01 - 05 April 2001, Abstract ID: 1293

G. Mayer-Kress, [2002] Complexity and Innovation, in Knowledge Management, Organizational Intelligence and Learning, and Complexity, edited by L. Douglas Kiel in Encyclopedia of Life Support Systems (EOLSS), Developed under the Auspices of the UNESCO, Eolss Publishers, Oxford ,UK, [http://www.eolss.net]

G. Mayer-Kress, M.A. Porter, Remarks on Whale Cultures from a Complex Systems Perspective, Commentary on Rendell, L. & Whitehead, H. (2001) Culture in whales and dolphins. Behavioral and Brain Sciences 24 (2): 344

K.M. Newell, Y.T. Liu, G. Mayer-Kress, Time Scales in Motor Learning and Development, Psychological Review, 2001, Vol. 108, No.1, 57–82, DOI 10.1037//0033-295X.108.1.000

G. Mayer-Kress, L.M. Herman, M. Hoffmann-Kuhnt, A.A. Pack, Video Tracking Interface for Dolphins: A New Approach to Interspecies Communication, (2000) Proceedings of the International Symposium Sciences of the Interface, Hans H. Diebner, Timothy Druckrey, Peter Weibel (Eds), ZKM Center for Art and Media, Karlsruhe, May 18-21, 1999, Genista Verlag, Tuebingen

G. Mayer-Kress, From Metaphors To Equations: How Can We Find The Good Ones?, Behavioral and Brain Sciences 2000, 23 (3), 409-410, arXiv, nlin.AO/0008041

Y.T. Liu, G. Mayer-Kress, K.M. Newell, A Piecewise Linear, Stochastic Map Model for the Sequential Trial Strategy of Discrete Timing Tasks, Acta Psychologica, 103, 207-228, (1999)

G. Mayer-Kress, K. M. Newell, Y.T. Liu, What Can We Learn From Learning Curves?, Presented at: International Conference on Complex Systems - Oct. 25-30, 1998, Nashua, NH and InterJournal Complex Systems, 246

G. Mayer-Kress, Non-Linear Mechanisms in the Brain, Zeitschrift fuer Naturforschung 53c(7/8), 677-685, 1998

H. Kantz, J. Kurths, G. Mayer-Kress (Eds.), Nonlinear Analysis of Physiological Data, Springer, Berlin 1998

M. Ende, A.K. Louis, P. Maas, G. Mayer-Kress, EEG Signal Analysis by Continuous Wavelet Transform Techniques, 213-219, in H. Kantz, J. Kurths, G. Mayer-Kress (Eds.), Nonlinear Analysis of Physiological Data, Springer, Berlin 1998

G. Mayer-Kress, Can Complexity Theory Help Us Solve Global Problems?, presented at Vienna SGIR/ISA meeting "Modeling Complex Phenomena in International Relations", Vienna, Austria Sept 16-19, 1998

G. Mayer-Kress, Complexity of EEG signals during exposure to synthesized music, Integrative Physiological and Behavioral Science, January-March, 1998, 33, No.1, 92-93

G. Mayer-Kress, Reflections of Chaos in Science and Art, in: Art @ Science, C. Sommerer, L. Mignonneau, (Eds.), Springer, Berlin 1998

G. Mayer-Kress, Tests for Robustness of Dynamical Models of Arms Races, in: Applied Nonlinear Dynamics and Stochastic Systems Near the Millennium, J.B. Kadtke, A. Bulsara (Eds.), AIP Conference Proceedings 411, American Institute of Physics, Woodbury, NY, 1997

K.M. Newell, Y.T. Liu, G. Mayer-Kress, The Sequential Structure of Movement Outcomes in Learning a Discrete Timing Task, J. Motor Behavior, 366-382, 29(4),1997

G. Mayer-Kress, Remarks on Evolution and Global Brains, Presented at Workshop on World Brains/World Minds, Calgary, June 14, 1997

J.S. Best, J.C. Charlton, G.J. Mayer-Kress, Analysis of Galaxy Morphology and Evolution using the Pointwise Dimension, Astrophysical Journal, 456, 55 (1996)

N. Birbaumer, W. Lutzenberger, H. Rau, G. Mayer-Kress, C. Braun, Perception of Music and Dimensional Complexity of Brain Activity, International Journal of Bifurcations and Chaos, 6(2): 267-278, 1996 ( CCSR-94-28 )

R. Mettin, G. Mayer-Kress, Chaotic Attractors from Homotopic Mixing of Vector Fields, Int. J. Bifurcation and Chaos 6(5) (1996).

G. Mayer-Kress, Messy Futures and Global Brains , Predictability of Complex Dynamical Systems, Yu.A. Kravtsov, J.B. Kadtke (Eds.) Springer Verlag, Berlin, 1996 (CCSR-94-26)

G. Mayer-Kress, P. Diehl, H. Arrow, The United Nations and Conflict Management in a Complex World , Proceedings of the 1996 Intl. Workshop on Control Mechanisms for Complex Systems, M. Coombs, M. Sulcoski (Eds.) 12/8-12/96, Las Cruces, NM

G. Mayer-Kress, Global Brains and Communication in aComplex Adaptive World, Presented at the Symposium: Theories and Metaphors of Cyberspace, April 9 -12, 1996 at the University of Vienna, Vienna, Austria

P. Jung, G. Mayer-Kress, Spatio-Temporal Stochastic Resonance in Excitable Media, Physical Review Letters, 74(11), 2130-2133, 13 March 1995 , Tech.Rep. CCSR-94-29

G. Mayer-Kress, C. Barczys, The Global Brain as an Emergent Structure from the Worldwide Computing Network, and its Implications for Modeling , Tech.Rep. CCSR-94-22, The Information Society, Vol 11 No 1, 1-28, (1995) Reprint

P. Jung, G. Mayer-Kress, Noise Controlled Spiral Growth in Excitable Media, Tech. Rep. CCSR-94-19, CHAOS 5, 458 (1995).

U. Parlitz, G. Mayer-Kress, Predicting Low Dimensional Spatio-Temporal Dynamics Using Discrete Wavelet Transforms, Physical Review E51, N.4, R2709-R2711, 1995 (CCSR-94-10)

P. Jung, G. Mayer-Kress, Stochastic Resonance in Threshold Devices, Il Nuovo Cimento, 17D, N.7-8, 827-834, 1995 (CCSR-94-8)

G. Mayer-Kress, C. Barczys The Global Brain as a Modelling Paradigm for Crisis Management, Proceedings of: Chaos and Society, Conference Universite du Quebec a Hul, Hull, Quebec, Ca, June 1-2, 1994, Alain Albert (Ed.), Chaos & Society (Amsterdam: IOS Press, 1995)

G. Mayer-Kress, Emergence of Global Brains in Cyber Space, Nonlocated online: digital territories, incorporations and the matrix , Knowbotic Research (Ed.), Medien.Kunst.Passagen 3/94, Passagen Verlag, Koeln-Wien 95, ISSN 1019-419- 4193

G. Mayer-Kress, Global Brains as Paradigm for a Complex Adaptive World, keynote presentation at: Evolving Complexity: Challenges to Society, Economy, and the Individual, University of Texas at Dallas, 11/18-19/1994, Tech.Rep. CCSR-95-1

G. Mayer-Kress, How can we tell if we are part of a Global Brain?, Dutch Electronic Art Festival: Interfacing Realities, Rotterdam 1995

G. Mayer-Kress, Sonification of Multiple Electrode Human Scalp Electroencephalogram (EEG), Poster presentation and sound demo at: ICAD'94, Santa Fe Institute, November 7-9, 1994

G. Mayer-Kress, P. Diehl, H. Arrow, The United Nations and Conflict Management in a Complex World , Presented at Peace Science Society (International) Twenty-Eight North American Meeting, Nov 4-6,1994, UIUC, Tech.Rep. CCSR-94-31, Hypertext Document

G. Mayer-Kress, W. Bender, J. Bazik, A Tele-Conferencing Experiment with WWW/Mosaic, Tech.Rep. CCSR-94-25, 2nd International World Wide Web Conference , Chicago 10/17-20/94 ( proceedings)

G. Mayer-Kress, B. Bender, J. Bazik, Hyper-Media on the Internet as a Tool for Approaching Global Problems: A Tele-Conferencing Experiment ,\\ Code No 94-0023, Unpublished Scholarly Papers, Information and Communication, CIESIN Human Dimensions Kiosk, http://WWW.ciesin.org/kiosk/home.html, 8/30/94. (Presentation given via the Internet and telephone at the Hunger Research Briefing and Exchange, Brown University, April, 1994), Tech.Rep. CCSR-94-6

G. Mayer-Kress, Localized Measures for Non-Stationary Time-Series of Physiological Data , Integrative Physiological and Behavioral Science, July-September, 1994, 29, No.3, 205-210, Tech.Rep. CCSR-94-2

G. Mayer-Kress, I. Choi, R. Bargar, Sound Synthesis and Music Composition using Chua's Oscillator, Proc, NOLTA93, Hawaii, Dec.5-10, 1993

G. Mayer-Kress, I. Choi, N. Weber, R. Bargar, A. Hubler, Musical Signals from Chua's Circuit, IEEE Transactions on Circuits and Systems, 40, special issue on "Chaos in Nonlinear Electric Circuits", 688-695, 1993

G. Mayer-Kress, Global Network Information Systems and Nonlinear Methodologies in Crisis Management Presented at "The First Virtual Conference on EAST-WEST INTEGRATION IN CENTRAL EUROPE." CCSR-93-6, The conference was held over the InterNet in the period March 15-28, 1993

S.S. Robertson, A.C. Cohen, G. Mayer-Kress, Behavioral Chaos: Beyond the Metaphor In L. Smith & E. Thelen (Eds.), A Dynamic Systems Approach to Development: Applications. (pp. 119 -150), Cambridge, MA: MIT press. Bradford Books Series in Cognitive Psychology, 1993

G. Mayer-Kress , Global Information Systems and Nonlinear Methodologies in Crisis Management, Technical Report CCSR-93-1, 1992 Lectures in Complex Systems, Eds. L. Nadel, D. Stein, Santa Fe Institute Studies in the Sciences of Complexity, Lect. Vol. V, Addison-Wesley, 1993

G. Mayer-Kress, Nonlinear Dynamics and Chaos in Arms Race Models, pp. 153-183, in: Modeling Complex Phenomena, L. Lam, V. Naroditzky (eds.), Springer, New York, 1992.

G. Mayer-Kress, Chaos and Crises in International Systems, Technical Report CCSR-92-15 , presented at the Supreme Headquarters of the Allied Powers in Europe (SHAPE) Technology Symposium on Crisis Management, Mons, Belgium, 3/19-20/92

D. Campbell, G. Mayer-Kress, Population Dynamics and the Arms Race Work in Progress of the United Nations University, Volume 14, Number 1, June 1992

G. Mayer-Kress, R. Bargar, I. Choi, Musical Structures in Data From Chaotic Attractors, Technical Report CCSR-92-14, Proceedings of the International Symposium on the Auditory Display (ICAD92), Santa Fe, NM Oct. 1992, Proceedings Volume XVIII Santa Fe Institute Series in the Sciences of Complexity, pp341-367, Addison Wesley, Reading, 1994, (http://www.ccsr.uiuc.edu/People/gmk/Papers/ICAD92/ICAD92.html)

R. Wackerbauer, G. Mayer-Kress, A. Hubler, Algebraic Calculation of Stroboscopic Maps of Ordinary, Nonlinear, Differential Equations, Los Alamos preprint LA-UR-91-2965, Physica D60, 335-357, 1992

S.Krempl, T. Eisenhammer, A. Hubler, G. Mayer-Kress, P. Milonni, Resonant Stimulation of a Conservative Nonlinear Oscillator:Classical And Quantum-Mechanical Calculations, Phys. Rev. Let, 69, 430, 1992

M. Koebbe, G. Mayer-Kress, Use of Recurrence Plots in the Analysis of Time-Series Data, in Nonlinear Modelling and Forecasting, SFI Studies in the Sciences of Complexity, Proc. Vol. XII, Eds. M. Casdagli, S. Eubank, Addison-Wesley, 1992

D. Campbell, G. Mayer-Kress, Chaos and Politics: Applications of Nonlinear Dynamical Dynamics to Socio-Political Issues, Santa Fe Institute Working Papers, 91-09-032, 1991

G. Mayer-Kress, EarthStation, in: " Out of Control" / Ars Electronica 1991, K. Gerbel (Ed.), pp. 147-156, Landesverlag Linz, Linz, 1991

D. Campbell, G. Mayer-Kress, Chaos and Politics: A Study of Nonlinear Arms Race Models, Proceedings of the United Nations University Symposium ``The Impact of Chaos on Science and Society'', Tokyo, Japan, 15-17 April 1991

R. Abraham, A. Keith, M. Koebbe, G. Mayer-Kress, Double Cusp Models, Public Opinion, and International Security, International Journal of Bifurcations and Chaos, 1(2), 417-430, 1991

S. Forrest, G. Mayer-Kress, Using Genetic Algorithms in Nonlinear Dynamical Systems and International Security Models, pp166-185, in: The Genetic Algorithms Handbook, L. Davis, (Ed.),Van Nostrand Reinhold, New York 1991

G. Mayer-Kress, C. Barczys, W.J. Freeman, Attractor Reconstruction from Event-Related Multi-Electrode EEG-Data , (LA-UR-91-247) in: Proceedings of the International Symposium ``Mathematical Approaches To Brain Functioning Diagnostics'' of the International Brain Research Organization, A.V. Holden (Ed.), World Scientific, 1991

J. Theiler, G. Mayer-Kress, J. Kadtke, Chaotic Attractors of a Locally Conservative Hyperbolic Map With Overlap, Physica 48D, 425-4441, 1991

E.S. Barr, M. Koebbe, G. Mayer-Kress, T.K. Ohsumi, Chaotic Dynamics of Flows, Maps, and Suspensions, 251-266, in: A Chaotic Hierarchy, Eds. G. Baier, M. Klein, World Scientific Inc., Singapore, 1991

G. Mayer-Kress, J. Bacon, Collaboration: Science, Art, & Chaos, IRIS Universe, No. 16, 44-46, 1991

G. Mayer-Kress, A Nonlinear Dynamical Systems Approach to International Security, in: The Ubiquity of Chaos, S. Krasner (Ed.), AAAS, Washington, 1990

J.E. Skinner, A. L. Goldberger, G. Mayer-Kress, R.E. Ideker, Chaos in the Heart: Implications for Clinical Cardiology, Biotechnology, 8, 1018-1024, 1990

J. Zbilut, M. Koebbe, H. Loeb, G. Mayer-Kress, Use of Recurrence Plots in the Analysis of Heart Beat Intervals, Proceedings IEEE conference computers in cardiology, Chicago, Sept 1990

G. Mayer-Kress, A. Hubler, Time evolution of local complexity measures and aperiodic perturbations of nonlinear dynamical systems, in: Measures of Complexity and Chaos, N.B. Abraham, A.M. Albano, A. Passamante, P.E. Rapp (Eds.), Plenum, New York, 155-172, 1990

Al Saperstein, G. Mayer-Kress, Chaos Versus Predictability in Formulating National Strategic Security Policy, American Journal of Physics 57, 217-223, 1989

Al Saperstein, G. Mayer-Kress, Predictability, Chaos, and the Outbreak of War: Modeling S.D.I., Proceedings of the DSIS workshop on Dissipative Strukturen in integrierten Systemen, R. Wildenmann (ed.), 263-286, Mannheim, Nomos Verlagsgesellschaft, 1989

D. Campbell, G. Mayer-Kress, Nonlinearity and Chaos: The Challenges and Limitations of Mathematical Modeling of Environmental and Socio-Political Issues, Proceedings Conference on Technology-Based Confidence Building: Energy and Environment, CNSS Papers No. 22, 71-91, July 1989, LA-UR-89-3794

S. Grossmann, G. Mayer-Kress, Chaos in the International Arms Race , Nature, 337, 701-704, 1989

G. Mayer-Kress, Monitoring Chaos of Cardiac Rhythms, in Biotech. USA, Proceedings of the 6th annual industry conference and exhibition, 435-443, Oct. 2-4,1989, San Francisco, CA

J. Zbilut, G. Mayer-Kress, P. Sobotka, M. O'Toole, J. Thomas Jr., Bifurcations and Intrinsic Chaotic and 1/f Dynamics in an Isolated Perfused Rat Heart, Biological Cybernetics, 61, 371-378, (1989)

S. Elgar, G. Mayer-Kress, Observations of the Fractal Dimension of Deep and Shallow Water Ocean Surface Gravity Waves, Physica 37D, 104-108, 1989

G. Mayer-Kress, K. Kaneko, Spatiotemporal Chaos and Noise, Journal of Statistical Physics, 54 ,1489-1508, 1989

Al Saperstein, G. Mayer-Kress, A Nonlinear Dynamical Model of the Impact of SDI on the Armsrace, Journal of Conflict Resolution, 32, 636-670, 1988

G. Mayer-Kress, Nonlinear Dynamics, Chaos, and Brain Signals, Psychophysiology, 25, 419, (1988)

J.P. Zbilut, G. Mayer-Kress, K. Geist , Dimensional Analysis of Heart Rate Variability in Heart Transplant Recipients, Mathematical Biosciences, 90, 49-70,July/August 1988

G. Mayer-Kress, F. E. Yates, L. Benton, M. Keidel, W. Tirsch, S.J. Poppl,K. Geist, Dimensional Analysis of Nonlinear Oscillations in Brain, Heart and Muscle, Mathematical Biosciences ,90, 155-182 , 1988

G. Mayer-Kress, Fractals, Physics Bulletin 39, 357-359, September 1988

G. Mayer-Kress, H.Haken, An Explicit Construction of a Class of Suspensions and Autonomous Differential Equations for Diffeomorphisms in the Plane, Communications in Mathematical Physics 111, 63-74, 1987

G. Mayer-Kress, J. Holzfuss, Analysis of the Human Electroencephalogram with Methods from Nonlinear Dynamics, Proceedings of Temporal Disorder in Human Oscillatory Systems, L. Rensing, W.an der Heyden, M.C. Mackey (Eds.), Springer Series in Synergetics, Vol. 36, 57-68, Springer-Verlag Berlin, Heidelberg 1987

G. Mayer-Kress, S.P. Layne, Dimensionality of the Human Electroencephalogram, Perspectives in Biological Dynamics and Theoretical Medicine, S.H. Koslow, A.J.Mandell, M.F.Shlesinger (Eds.), Annals of the New York Academy of Sciences, Vol. 504, 62-86, New York, 1987

G. Mayer-Kress, Th. Kurz, Dimension Density of Coupled Map Lattices, J. Complex Systems 1, 821-829, 1987

G. Mayer-Kress, Application of Dimension Algorithms to Experimental Chaos, in: Directions in Chaos, 122-147, Hao Bai-lin (Ed.), World Scientific Publishing Company, Singapore, 1987

S.P. Layne, G. Mayer-Kress, J. Holzfuss, Problems Associated with Dimensional Analysis of Electro-Encephalogram Data, in: Dimensions and Entropies in Chaotic Systems, G. Mayer-Kress (ed.), Springer Series in Synergetics, Vol. 32, 246-256, Springer Verlag, Berlin, 1986

D.K. Umberger, G. Mayer-Kress, E. Jen, Hausdorff Dimensions for Sets with Broken Scaling Symmetry, in: Dimensions and Entropies in Chaotic Systems, G. Mayer-Kress (ed.), Springer Series in Synergetics, Vol. 32, 42-53, Springer Verlag, Berlin, 1986

J. Holzfuss, G. Mayer-Kress, An Approach to Error-Estimation in the Application of Dimension Algorithms, in: Dimensions and Entropies in Chaotic Systems, G. Mayer-Kress (ed.), Springer Series in Synergetics, Vol. 32, 114-122, Springer Verlag, Springer Verlag, Berlin, 1986

G. Mayer-Kress, Introductory Remarks, in: Dimensions and Entropies in Chaotic Systems, G. Mayer-Kress (ed.), Springer Series in Synergetics, Vol. 32, 2-5, Springer Verlag, Berlin, 1986

R.J. Bagley, G. Mayer-Kress, J.D. Farmer, Mode Locking, the Belousov- Zhabotinsky Reaction, and One Dimensional Mappings, Physics Letters 114A, 419-425, 1986

G. Mayer-Kress, Autonomous Differential Equations for the Henon Map and other Two-Dimensional Diffeomorphisms, in: Perspectives in Nonlinear Dynamics, M.F. Shlesinger, R. Cawley, A.W. Saenz, W. Zachary (Eds.), World Scientific, Singapore, 1986

G. Mayer-Kress, (ed.), Dimensions and Entropies in Chaotic Systems - Quantification of Complex Behavior, Springer Series in Synergetics Vol. 32, Springer Verlag, Berlin, 1986

G. Mayer-Kress, H.Haken, Attractors of Convex Maps with Positive Schwarzian Derivative in Presence of Noise, Physica 10D, 329-339, 1984

J. Nicolis, G. Mayer-Kress, G. Haubs, Nonuniform Information Processing by Strange Attractors of Chaotic Maps and Flows, Proc. of the UNESCO Conf. Stochastic Phenomena and Chaotic Attractors in Complex Systems, Springer Series in Synergetics Vol. 21, Springer Verlag, Berlin, 1983

J. Nicolis, G. Mayer-Kress, G. Haubs, Non-Uniform Chaotic Dynamics with Implications to Information Processing, Zeitschrift fur Naturforschung 38a, 1157-1169, 1983

G. Mayer-Kress, H. Haken, Type-III-Intermittency in a Smooth Perturbation of the Logistic System, in Proc. of the VII. Sitges Conference Dynamical Systems and Chaos, L. Garrido (ed.), Springer Lecture Notes in Physics, Vol. 179, Springer Verlag, Berlin, 1983

G. Mayer-Kress, H. Haken, Transition to Chaos for Maps with Positive Schwarzian Derivative, in ``Evolution of Order and Chaos in Physics, Chemistry, and Biology'', H. Haken (ed.), Springer Series in Synergetics Vol. 17, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1982

H. Haken, G. Mayer-Kress, Chapman-Kolmogorov Equation and Path Integrals for Discrete Chaos in the Presence of Noise, Zeitschrift fur Physik B-Condensed Matter, 43, 183, 1981

H. Haken, G. Mayer-Kress, Chapman-Kolmogorov Equation for Discrete Chaos, Physics Letters 84A, 159-160, 1981

A. Hubler, G. Schubert, G. Mayer-Kress, Non-Equilibrium Phase-Transitions in a Kundt's tube, in Chaos and Order in Nature, H. Haken (ed.), Springer Series in Synergetics Vol. 11, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1981

G. Mayer-Kress, H. Haken, Intermittent Behavior of the Logistic System, Physics Letters 82A, 151-155, 1981

G. Mayer-Kress, H. Haken, The Influence of Noise on the Logistic Model, Journal of Statistical Physics 26, 149-171, 1981


See also:

J. Horgan, Nonlinear thinking, Scientific American, June 1989, p.26-27

Residential Research, Santa Fe Institute Bulletin, Summer 1988


Gottfried Mayer-Kress, gmk@ccsr.uiuc.edu