Computational Mechanics |     Dynamics of Learning |     Evolving Cellular Automata |     Evolutionary Dynamics

  Home

  Biographics

  Publications

  Workshops

  Talks

  Films

  Links

Publications

Topics


Art and Science

  • J. P. Crutchfield, D. D. Dunn, and E. Puckett, "Chaos All the Way Down—Pre-show to Collapse (suddenly falling down)", Leonardo (31 March 2009) Transactions.
    [Abstract] [pdf]
  • M. Neff, D. Sumner, G. W. Bawden, E. Bromberg, J. P. Crutchfield, D. Davidson, S. Gilbride, L. H. Kellogg, and O. Kreylos, "Blending Art and Science: Collapse (suddenly falling down)", Leonardo 43:3 (2010) 274-281.
    [Abstract] [pdf]

Sensory Immersive Environments

Bioacoustics

Computational Mechanics

  • Olof Görnerup and J. P. Crutchfield, "Objects That Make Objects: The Population Dynamics of Structural Complexity", Physical Review Letters (2004) submitted.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 04-06-020. arxiv.org e-print adap-org/0406XXX.
  • Nihat Ay, and J. P. Crutchfield, "Reductions of Hidden Information Sources", Ergodic Theory and Dynamical Systems (2004), submitted.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 04-06-011. arxiv.org/abs/math.PR/0405425.
  • Cosma Rohilla Shalizi, Kristina Lisa Shalizi, and J. P. Crutchfield, "Pattern Discovery in Time Series, Part I: Theory, Algorithm, Analysis, and Convergence", Journal of Machine Learning Research (2002), in preparation.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 02-10-060. arXiv.org/abs/cs.LG/0210025.
  • D. P. Feldman and J. P. Crutchfield, "Synchronizing to Periodicity: The Transient Information and Synchronization Times of Periodic Sequences", Advances in Complex Systems (2004) to appear.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 02-08-043. arXiv.org/abs/nlin.AO/0208040.
  • C. R. Shalizi, "Causal Architecture, Complexity and Self-Organization in Time Series and Cellular Automata", Ph.D. Dissertation, Physics Department, University of Wisconsin-Madison, May 2001.
    [Abstract] [pdf]
  • J. P. Crutchfield and D. P. Feldman, "Regularities Unseen, Randomness Observed: Levels of Entropy Convergence", CHAOS 13:1 (2003) 25-54.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 01-02-012. arXiv.org/abs/cond-mat/0102181.
  • J. P. Crutchfield and D. P. Feldman, "Synchronizing to the Environment: Information Theoretic Constraints on Agent Learning", Advanced in Complex Systems 4:2 (2001) 251-264.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 01-03-020. arXiv.org/abs/nlin.AO/0103038.
  • C. R. Shalizi and J. P. Crutchfield, "Information Bottlenecks, Causal States, and Statistical Relevance Bases: How to Represent Relevant Information in Memoryless Transduction", Advances in Complex Systems 5 (2002): 1-5.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 00-07-035. arXiv.org/abs/nlin.AO/0006025.
  • C. R. Shalizi and J. P. Crutchfield, "Pattern Discovery and Computational Mechanics".
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 00-01-008. arXiv.org/abs/cs.LG/0001027.
  • C. R. Shalizi and J. P. Crutchfield, "Computational Mechanics: Pattern and Prediction, Structure and Simplicity", Journal of Statistical Physics 104 (2001) 819--881.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 99-07-044. arXiv.org/abs/cond-mat/9907176.
  • J. P. Crutchfield, D. P. Feldman, and C. R. Shalizi, 'Comment on "Simple Measure for Complexity"', Physical Review E 62 (2000) 2996-2997.
    [Abstract] [ps] [pdf]
    Santa Fe Insitute Working Paper 99-06-040.
  • J. P. Crutchfield and C. R. Shalizi, "Thermodynamic Depth of Causal States: Objective Complexity via Minimal Representations", Physical Review E 59 (1999) 275-283.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Insitute Working Paper 98-06-047.
  • J. P. Crutchfield, "Dynamical Embodiments of Computation in Cognitive Processes", Behavioral and Brain Sciences 21:5 (1998) 635-637.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 98-02-016.
  • D. P. Feldman and J. P. Crutchfield, "Measures of Statistical Complexity: Why?", Physics Letters A 238 (1998) 244-252.
    [Abstract] [ps.gz] [ps] [pdf]
  • J. P. Crutchfield, "Is Anything Ever New? Considering Emergence", in Complexity: Metaphors, Models, and Reality, G. Cowan, D. Pines, and D. Melzner, editors, SFI Series in the Sciences of Complexity XIX, Addison-Wesley, Redwood City (1994) 479-497.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 94-03-011.
  • J. P. Crutchfield, "The Calculi of Emergence: Computation, Dynamics, and Induction", Physica D 75 (1994) 11-54.
    [Abstract]
    Santa Fe Institute Working Paper 94-03-016.
  • J. P. Crutchfield, "Critical Computation, Phase Transitions, and, Hierarchical Learning" in Towards the Harnessing of Chaos, Proceedings of the 7th Toyota Conference, M. Yamaguti, editor, Elsevier Science, Amsterdam (1994) in press.
    [Abstract] [ps] [pdf]
    Santa Fe Institute Working Paper 93-06-035.
  • J. P. Crutchfield, "Observing Complexity and The Complexity of Observation", in Inside versus Outside, H. Atmanspacher, editor, Springer-Verlag, Berlin (1994) 234-272.
    [Abstract] [ps] [pdf]
    Santa Fe Institute Working Paper 93-06-035.
  • J. P. Crutchfield, "What Lies Between Order and Chaos?" in Art and Complexity, J. Casti, editor, Oxford University Press (2002).
    [Abstract] [ps.gz] [ps] [pdf]
  • K. Young and J. P. Crutchfield, "Fluctuation Spectroscopy", Chaos, Solitons, and Fractals 4 (1993) 5-39.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 93-05-028.
  • J. P. Crutchfield, "Semantics and Thermodynamics", in Nonlinear Modeling and Forecasting, SFI Studies in the Sciences of Complexity, Proc. Vol. XII, M. Casdagli and S. Eubank, editors, Addison-Wesley, Reading, Massachusetts (1992) 317-360.
    [Abstract]
    Santa Fe Institute Working Paper 91-09-033.
  • J. P. Crutchfield, "Knowledge and Meaning...Chaos and Complexity", in Modeling Complex Systems, L. Lam and H. C. Morris, editors, Springer-Verlag, Berlin (1992) 66 -101.
    [Abstract]
    Santa Fe Institute Working Paper 91-09-035.
  • J. P. Crutchfield, "Inferring the Dynamic, Quantifying Physical Complexity", in Measures of Complexity and Chaos, A. M. Albano, N. B. Abraham, P. E. Rapp, and A. Passamante, editors, Plenum Press, New York (1989) 327.
    [Abstract] [pdf] zipped [pdf]
  • J. P. Crutchfield and K. Young, "Computation at the Onset of Chaos", in Entropy, Complexity, and Physics of Information, W. Zurek, editor, SFI Studies in the Sciences of Complexity, VIII, Addison-Wesley, Reading, Massachusetts (1990) 223-269.
    [Abstract] [ps.gz] [ps] [pdf]
  • J. P. Crutchfield, "Reconstructing Language Hierarchies", in Information Dynamics, NATO ASI Series, 256, H. A. Atmanspracher and H. Scheingraber, editors, Plenum Press, New York (1990) 45-60.
    [Abstract] [pdf] zipped [pdf]
  • J. P. Crutchfield and K. Young, "Inferring Statistical Complexity", Physical Review Letters 63 (1989) 105-108.
    [Abstract] [zipped pdf] [pdf]

Dynamical Systems

  • J. P. Crutchfield and N. H. Packard, "Symbolic Dynamics of Noisy Chaos", Physica 7D (1983) 201-223.
    [Abstract] [pdf]
  • P. Collet, J. P. Crutchfield, and J.-P. Eckmann, "Computing the Topological Entropy of Maps", Commun. Math. Phys. 88 (1983) 257-262.
    [Abstract] [ps.gz]
  • J. P. Crutchfield and N. H. Packard, "Symbolic Dynamics of One-Dimensional Maps: Entropies, Finite Precision, and Noise", Intl. J. Theo. Phys. 21 (1982) 433-466.
    [Abstract] [pdf] [ps.gz]
  • J. P. Crutchfield, J. D. Farmer and B. A. Huberman, "Fluctuations and Simple Chaotic Dynamics", Physics Reports 92 1982: 45-82 (J. P. Crutchfield, J. D. Farmer and B. A. Huberman).
    [Abstract]
  • J. P. Crutchfield and N. H. Packard, "Noise Scaling of Symbolic Dynamics Entropies", in Evolution of Order and Chaos, ed. H. Haken, Springer-Verlag, Berlin (1982) 215-227.
    [Abstract] [ps.gz]
  • H. Froehling, J. P. Crutchfield, J. D. Farmer, N. H. Packard, and R. S. Shaw, "On Determining the Dimension of Chaotic Flows", Physica 3D 1981: 605-617.
    [Abstract] [pdf]
  • J. P. Crutchfield, M. Nauenberg, and J. Rudnick, "Scaling for External Noise at the Onset of Chaos", Phys. Rev. Lett. 46 1981: 933-935.
    [Abstract] [pdf]
  • J. P. Crutchfield and B. A. Huberman, "Fluctuations and the Onset of Chaos", Phys. Lett. 77A 1980: 407.
    [Abstract] [pdf]
  • J. P. Crutchfield, J. D. Farmer, N. H. Packard, R. S. Shaw, G. Jones, R. Donnelly, "Power Spectral Analysis of a Dynamical System", Phys. Lett. 76A 1980: 1-4.
    [Abstract] [pdf]
  • J. P. Crutchfield, J. D. Farmer, H. Froehling, N. H. Packard, and R. S. Shaw, "Power Spectra and Mixing Properties of Strange Attractors", Annals of the New York Academy of Sciences 357 1980: 453.
    [Abstract] [pdf]

Dynamics of Learning


Evolutionary Dynamics

  • Olof Görnerup and J. P. Crutchfield, "Primordial Evolution in the Finitary Process Soup", Electronic Journal of Theoretical Physics (2007) submitted.
    [Abstract] [pdf]
    Santa Fe Institute Working Paper 07-05-008. arxiv.org e-print q-bio.PE/0704.3771.
  • O. Goenernup and J. P. Crutchfield, "Hierarchical Self-Organization in the Finitary Process Soup", Special Issue on the Evolution of Complexity, Artificial Life Journal 14:3 (2008) 245-254.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 06-03-001. arxiv.org e-print nlin.AO/0603001.
  • Olof Görnerup, and J. P. Crutchfield, "Objects That Make Objects: The Population Dynamics of Structural Complexity", Physical Review Letters (2004) submitted.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 04-06-020. arxiv.org e-print adap-org/0406XXX.
  • J. P. Crutchfield and P. Schuster, "Dynamics of Evolutionary Processes" In Evolutionary Dynamics—Exploring the Interplay of Selection, Neutrality, Accident, and Function. J. P. Crutchfield and P. Schuster, editors. Santa Fe Institute Series in the Science of Complexity. New York: Oxford University Press, 2001.
    [Abstract] [ps.gz] [ps] [pdf]
  • J. P. Crutchfield, "When Evolution is Revolution---Origins of Innovation" In Evolutionary Dynamics---Exploring the Interplay of Selection, Neutrality, Accident, and Function. J. P. Crutchfield and P. Schuster, editors. Santa Fe Institute Series in the Science of Complexity. New York: Oxford University Press, 2001.
    [Abstract] [ps.gz] [ps] [pdf]
  • E. van Nimwegen, J. P. Crutchfield, and M. Mitchell, "Finite Populations Induce Metastability in Evolutionary Search" Physics Letters A 1997 (in press).
    [Abstract] [ps.gz] [ps] [pdf]

Evolving Cellular Automata

  • M. Mitchell, J. P. Crutchfield, and R. Das, "Evolving Cellular Automata to Perform Computations" In Handbook of Evolutionary Computation. T. Back, D. Fogel, and Z. Michalewicz, editors. Oxford: Oxford University Press, 1997 (in press).
    [Abstract] [ps.gz] [ps] [pdf]
  • M. Mitchell, J. P. Crutchfield, and R. Das, "Evolving Cellular Automata with Genetic Algorithms: A Review of Recent Work" Proceedings of the First International Conference on Evolutionary Computation and Its Applications (EvCA'96). Moscow, Russia: Russian Acadamy of Sciences, 1997 (in press).
    [Abstract] [ps.gz] [ps] [pdf]
  • W. Hordijk, J. P. Crutchfield, and M. Mitchell "Embedded-Particle Computation in Evolved Cellular Automata" Pre-proceedings of the Conference on Physics and Computation '96 (1996).
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 96-09-073.
  • J. P. Crutchfield and M. Mitchell, "The Evolution of Emergent Computation". Proceedings of the National Academy of Sciences 92 1995: 10742-10746.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 94-03-012.
  • R. Das, J. P. Crutchfield, M. Mitchell, and J. E. Hanson, "Evolving Globally Synchronized Cellular Automata". Proceedings of the Sixth International Conference on Genetic Algorithms. L. J. Eshelman, editor. San Francisco, CA: Morgan Kaufmann, 1995: 336-343.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 95-01-005.
  • M. Mitchell, J. P. Crutchfield, and P. T. Hraber, "Dynamics, Computation, and the 'Edge of Chaos': A Re-examination". In Complexity: Metaphors, Models, and Reality. G. Cowan, D. Pines, and D. Melzner, editors. SFI Series in the Sciences of Complexity, volume XIX, Reading, MA: Addison-Wesley, 1994: 497-513.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 93-06-040.
  • M. Mitchell, J. P. Crutchfield, and P. Hraber, "Evolving Cellular Automata to Perform Computations: Mechanisms and Impediments". Physica D 1994: 361-391.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 93-11-071.
  • R. Das, M. Mitchell, and J. P. Crutchfield, "A Genetic Algorithm Discovers Particle Computation in Cellular Automata". Proceedings of the Conference on Parallel Problem Solving in Nature --- PPSN III. Y. Davidor, H. P. Schwefel, and R. Manner, editors. Lecture Notes in Computer Science, Berlin: Springer-Verlag, 1994: 344-353.
    [Abstract]
    Santa Fe Institute Working Paper 94-03-015.
  • M. Mitchell, P. Hraber, and J. P. Crutchfield, "Revisiting the Edge of Chaos: Evolving Cellular Automata to Perform Computational Tasks". Complex Systems 7 1993: 89-130.
    [Abstract]
    Santa Fe Institute Working Paper 93-03-014.

Nonlinear Modeling

  • J. P. Crutchfield, "Inferring the Dynamic, Quantifying Physical Complexity", in Measures of Complexity and Chaos, A. M. Albano, N. B. Abraham, P. E. Rapp, and A. Passamante, editors, Plenum Press, New York (1989) 327.
    [Abstract] [pdf] zipped [pdf]
  • J. P. Crutchfield and B. McNamara, "Equations of Motion from a Data Series", Complex Systems 1 (1987) 417-452.
    [Abstract] [pdf, no figures] [pdf, original scanned] [ps, no figures] [ps.gz]
  • N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, "Geometry from a Time Series", Phys. Rev. Let. 45 (1980) 712-716.
    [Abstract] [ps.gz]

Nonlinear Physics

  • T. Steiman-Cameron, K. Young, J. D. Scargle, J. P. Crutchfield, J. Imamura, M. T. Wolff, and K. S. Wood, "Dripping Handrails and the Quasi-Periodic Oscillations in the AM Herculis Objects".Astrophys. J. 435 1994: 775-783.
    [Abstract]
  • J. D. Scargle, D. L. Donoho, J. P. Crutchfield, T. Steiman-Cameron, J. Imamura, and K. Young, "The Quasi-Periodic Oscillations and Very Low Frequency Noise of Scorpius X-1 as Transient Chaos: A Dripping Handrail?" Astrophys. J. Lett. 411 1993: L91-L94.
    [Abstract]
  • A. Brandstater, J. Swift, H. L. Swinney, A. Wolf, J. D. Farmer, E. Jen, and J. P. Crutchfield, "Low-Dimensional Chaos in a Hydrodynamic System". Phys. Rev. Lett. 51 1983: 1442.
    [Abstract]
  • J. P. Crutchfield, B. A. Huberman, and N. H. Packard, "Noise Phenomena in Josephson Junctions". App. Phys. Let. 37 (8) 1980: 750-753.
    [Abstract] [pdf]
  • R. Shaw, J. P. Crutchfield, F. Bridges, and B. Rosenblum, "Unexplained Helium Film Effect with Dielectric Resonators". Phys. Lett. 80A 1980: 87.
    [Abstract]
  • B. A. Huberman and J. P. Crutchfield, "Chaotic States of Anharmonic Systems in Periodic Fields". Phys. Rev. Let. 43 1979: 1743-1747.
    [Abstract]

Reviews and Overviews

  • J. P. Crutchfield, "What Lies Between Order and Chaos?" in Art and Complexity, J. Casti, editor, Oxford University Press (2002).
    [Abstract] [ps.gz] [ps] [pdf]
  • J. P. Crutchfield, D. P. Feldman, and C. R. Shalizi, 'Comment on "Simple Measure for Complexity"', Physical Review E 62 (2000) 2996-2997.
    [Abstract] [ps] [pdf]
    Santa Fe Insitute Working Paper 99-06-040.
  • J. P. Crutchfield and N. Kahn, "Turbulent Landscapes--A Dialogue", Complexity 2:2 (1996) 3-7.
    [Abstract]
  • J. P. Crutchfield, "Comments on Complexity and the Future of Science.'" Posted to researchers@santafe.edu 25 January 1996.
    [Link]
  • J. P. Crutchfield, "Is Anything Ever New? Considering Emergence", in Complexity: Metaphors, Models, and Reality, G. Cowan, D. Pines, and D. Melzner, editors, SFI Series in the Sciences of Complexity XIX, Addison-Wesley, Redwood City (1994) 479-497.
    [Abstract] [ps.gz] [ps] [pdf]
    Santa Fe Institute Working Paper 94-03-011.
  • J. P. Crutchfield, "Complexity: Order contra Chaos", in Proceedings of the International Conference on Fuzzy Logic and Neural Networks, S. Yasui and T. Yamakawa, editors, Iizuka, Japan (July 1990) World Scientific Publishers, Singapore (1990) 127.
    [Abstract] [ps.gz] [ps] [pdf]
  • J. P. Crutchfield, "Chaos and Complexity", in Handbook of Metaphysics and Ontology, Philosophia Verlag, München (1990).
    [Abstract] [ps.gz] [ps] [pdf]
  • J. P. Crutchfield, "Quantifying Spatial Chaos". Research and Development 12, November 1989.
    [Abstract]
  • J. P. Crutchfield, "Chaos, Computer Graphics, and Natural Phenomena". Accepted for publication in Transactions on Graphics, December 1987 (Unpublished).
    [Abstract]
  • J. P. Crutchfield, J. D. Farmer, N. H. Packard, and R. S. Shaw, "Chaos". Scientific American 255, December 1986: 46-57.
    [Abstract]
  • D. Campbell, J. P. Crutchfield, J. D. Farmer, and E. Jen, "Experimental Mathematics: The Role of Computation in Nonlinear Science". Comm. ACM 28 1985: 374.
    [Abstract]
  • J. P. Crutchfield, "Noisy Chaos", Ph.D. Dissertation, University of California, Santa Cruz (August 1983).
    [Abstract]
  • J. P. Crutchfield, "Prediction and Stability in Classical Mechanics". Senior Thesis in Physics and Mathematics, University of California, Santa Cruz, June 1979; submitted to APS First Annual Apker Undergraduate Thesis Competition.
    [Abstract]

Space-Time Computational Mechanics

  • D. P. Varn and J. P. Crutchfield, "From Finite to Infinite Range Order via Annealing: The Causal Architecture of Deformation Faulting in Annealed Close-Packed Crystals". Santa Fe Institute Working Paper 03-07-045.
    [Abstract] [ps.gz] [ps] [pdf]
    arXiv.org/abs/cond-mat/0307296.
  • D. P. Varn, G. S. Canright, and J. P. Crutchfield, "Inferring Pattern and Disorder in Close-Packed Structures from X-ray Diffraction Studies, Part II: Structure and Intrinsic Computation in Zinc Sulphide", Santa Fe Institute Working Paper 03-03-022.
    [Abstract] [ps.gz] [ps] [pdf]
    arXiv.org/abs/cond-mat/0302587.
  • D. P. Varn, G. S. Canright, and J. P. Crutchfield, "Inferring Pattern and Disorder in Close-Packed Structures from X-ray Diffraction Studies, Part I: epsilon-Machine Spectral Reconstruction Theory", Santa Fe Institute Working Paper 03-03-021.
    [Abstract] [ps.gz] [ps] [pdf]
    arXiv.org/abs/cond-mat/0302585.
  • D. P. Feldman and J. P. Crutchfield, "Structural Information in Two-Dimensional Patterns: Entropy Convergence and Excess Entropy", Physical Review E 67 (2003) 051104.
    [Abstract] [pdf] [ps] [ps.gz]
    Santa Fe Institute Working Paper 02-12-065. arXiv.org/abs/cond-mat/0212078.
  • D. P. Varn, G. S. Canright, and J. P. Crutchfield, "Discovering Planar Disorder in Close-Packed Structures from X-Ray Diffraction: Beyond the Fault Model", Santa Fe Institute Working Paper 02-03-014.
    [Abstract] [ps.gz]  [ps] [pdf]
    arXiv.org/abs/cond-mat/0203290.
  • W. Hordijk, J. P. Crutchfield, and C. R. Shalizi, "Upper Bound on the Products of Particle Interactions in Cellular Automata", Physica D 154 (2001) 240--258.
    [Abstract] [ps.gz] [ps]
    Santa Fe Institute Working Paper 00-09-052. arXiv.org/abs/nlin.CG/0008038.
  • J. P. Crutchfield and D. P. Feldman, "Statistical Complexity of Simple 1D Spin Systems", Physical Review E 55:2 (1997) 1239R-1243R.
    [Abstract] [ps.gz]
  • J. E. Hanson and J. P. Crutchfield, "Computational Mechanics of Cellular Automata: An Example", Physica D 103 (1997) 169--189.
    [Abstract] [ps.gz]
    Santa Fe Institute Working Paper 95-10-95.
  • J. E. Hanson and J. P. Crutchfield, "Postscript to 'The Attractor-Basin Portrait of a Cellular Automaton'", Research Note (February 1994) unpublished.
    [Abstract] [ps.gz]
  • J. P. Crutchfield and J. E. Hanson, "Turbulent Pattern Bases for Cellular Automata", Physica D 69 (1993) 279-301.
    [Abstract] [ps.gz] [pdf]
    Santa Fe Institute Working Paper 93-03-010.
  • J. P. Crutchfield and J. E. Hanson, "Attractor Vicinity Decay for a Cellular Automaton", CHAOS 3:2 (1993) 215-224.
    [Abstract] [ps.gz]
  • J. P. Crutchfield, "Unreconstructible at Any Radius", Physics Letters A 171 (1992) 52-60.
    [Abstract] [ps.gz]
  • J. P. Crutchfield, "Discovering Coherent Structures in Nonlinear Spatial Systems", in Nonlinear Dynamics of Ocean Waves, A. Brandt, S. Ramberg, and M. Shlesinger, editors, World Scientific, Singapore (1992) 190-216.
    [Abstract] [ps.gz] (Main portion)
    Santa Fe Institute Working Paper 91-09-034.
  • J. E. Hanson and J. P. Crutchfield, "The Attractor-Basin Portrait of a Cellular Automaton", J. Statistical Physics 66 (1992) 1415-1462.
    [Abstract] [ps.gz]
    Santa Fe Institute Working Paper 91-02-012.

Spatially-Extended Dynamical Systems

  • J. P. Crutchfield and K. Kaneko, "Are Attractors Relevant to Turbulence?" Phys. Rev. Let. 60 1988: 2715-2718.
    [Abstract]
  • J. P. Crutchfield, "Spatio-Temporal Complexity in Nonlinear Image Processing". IEEE Trans. on Circ. Sys. 35:7 1988: 770-780.
    [Abstract] [pdf] [Photos 1-8] [Photos 9-18] [Photos 19-26] [Photos 27-35] [Photos 36-46]
  • J. P. Crutchfield, "Subbasins, Portals, and Mazes: Transients in High Dimensions". J. Nucl. Phys. B 5A 1988: 287-292.
    [Abstract]
  • J. P. Crutchfield and K. Kaneko, "Phenomenology of Spatio-Temporal Chaos". In Directions in Chaos, Hao Bai-lin, editor. Singapore: World Scientific Publishers, 1987: 272-353.
    [Abstract]
  • J. P. Crutchfield, "Space-Time Dynamics in Video Feedback". Physica 10D 1984: 229-245.
    [Abstract] [pdf] [Plates 1-4] [Plates 5-7]

Questions about this page? Contact: chaos@csc.ucdavis.edu