Bibliography for Fractals

unabridged

 

  1. Complex Patterns on the Plane: Different Types of Basin Fractalization in a Two-Dimensional Mapping
    Lo´pez-Ruiz R.; Fournier-Prunaret D.
    International Journal of Bifurcation and Chaos, February 2003, vol. 13, no. 2, pp. 287-310(24), Ingenta.  
  2. Heat conduction across irregular and fractal-like surfaces
    Blyth M.G.; Pozrikidis C.
    International Journal of Heat and Mass Transfer, April 2003, vol. 46, no. 8, pp. 1329-1339(11), Ingenta.   
  3. Spatial and temporal distributions of magnetisation in arrays of interacting bistable microwires
    Velazquez J.; Vazquez M.
    Journal of Magnetism and Magnetic Materials, August 2002, vol. 249, no. 1, pp. 89-94(6), Ingenta.   
  4. M and J sets from Newton's transformation of the transcendental mapping F(z) = ezw + c with vcps
    Chen N.; Zhu X.L.; Chung K.W.
    Computers and Graphics, April 2002, vol. 26, no. 2, pp. 371-383(13), Ingenta.   
  5. A technique for measuring the density and complexity of understorey vegetation in tropical forests
    Marsden S.J.; Fielding A.H.; Mead C.; Hussin M.Z.
    Forest Ecology and Management, 15 July 2002, vol. 165, no. 1, pp. 117-123(7), Ingenta.    
  6. Serial Memory Strategies in Macaque Monkeys: Behavioral and Theoretical Aspects
    Orlov T.; Yakovlev V.; Amit D.; Hochstein S.; Zohary E.
    Cerebral Cortex, March 2002, vol. 12, no. 3, pp. 306-317(12), Ingenta.    
  7. Dynamics on the complex sphere and torus
    Cooper G.R.J.
    Computers and Graphics, February 2002, vol. 26, no. 1, pp. 151-162(12), Ingenta.    
  8. A fast, simple and versatile algorithm to fill the depressions of digital elevation models
    Planchon O.; Darboux F.
    CATENA, 3 January 2002, vol. 46, no. 2, pp. 159-176(18), Ingenta.    
  9. Memory Across Eye-Movements: 1/f Dynamic in Visual Search
    Aks D.J.; Zelinsky G.J.; Sprott J.C.
    Nonlinear Dynamics, Psychology, and Life Sciences, January 2002, vol. 6, no. 1, pp. 1-25(25), Ingenta.    
  10. Progressing geometrically from ancient thought to fractals.
    McCartney, Mark
    Internat. J. Math. Ed. Sci. Tech. 32 (2001), no. 6, 937--944, MathSciNet.  
  11. Description of the convex hulls of fractal sets in the bases -n+1 and double points in the boundary for the base -+i. (Spanish)
    Moure, María del Carmen
    Proceedings of the Sixth "Dr. Antonio A. R. Monteiro" Congress of Mathematics (Spanish) (Bahía Blanca, 2001), 69--84, Univ. Nac. Sur Dep. Mat. Inst. Mat., Bahía Blanca, 2001, MathSciNet.  
  12. Iterated Function Systems for Object Generation and Rendering
    Jones H.
    International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], February 2001, vol. 11, no. 2, pp. 259-289(31), Ingenta.    
  13. Transition to turbulence in the Reynolds' experiment
    Francisco G.; Santos1 C.R.
    Physica A, 1 August 2001, vol. 297, no. 1, pp. 73-78(6), Ingenta.    
  14. Can we use complex-valued fractional Brownian motion to derive a fractal space-time theory in micro-physics
    Jumarie G.
    Chaos, Solitons and Fractals, September 2001, vol. 12, no. 12, pp. 2155-2159(5), Ingenta.    
  15. Land-use change in a small catchment of northern Loess Plateau, China
    Chen L.; Wang J.; Fu B.; Qiu Y.
    Agriculture, Ecosystems and Environment, August 2001, vol. 86, no. 2, pp. 163-172(10), Ingenta.    
  16. Fractal and chaotic solutions of the discrete nonlinear Schrödinger equation in classical and quantum systems.
    Dhillon, H. S.; Kusmartsev, F. V.; Kürten, K. E.
    J. Nonlinear Math. Phys. 8 (2001), no. 1, 38--49, MathSciNet.  
  17. Fractal dimensions of the hydrodynamic modes of diffusion.
    Gilbert, T.; Dorfman, J. R.; Gaspard, P.
    Nonlinearity 14 (2001), no. 2, 339--358, MathSciNet.  
  18. Analysis of c-plane fractal images.
    Wang, Xingyuan; Liu, Xiangdong; Zhu, Weiyong; Gu, Shusheng
    Fractals 8 (2000), no. 3, 307--314, MathSciNet.  
  19. Differential Short-term Synaptic Plasticity and Transmission of Complex Spike Trains: to Depress or to Facilitate?
    Matveev V.; Wang X-J.
    Cerebral Cortex, November 2000, vol. 10, no. 11, pp. 1143-1153(11), Ingenta.    
  20. Invasion percolation and secondary migration: experiments and simulations
    Meakin P.; Wagner G.; Vedvik A.; Amundsen H.; Feder J.; Jossang T.
    Marine and Petroleum Geology, August 2000, vol. 17, no. 7, pp. 777-795(19), Ingenta.    
  21. Canonical representations of complex vibratory subsystems: time domain Dirichlet to Neumann maps
    Barbone P.E.; Cherukuri A.; Goldman D.
    International Journal of Solids and Structures, 1 May 2000, vol. 37, no. 20, pp. 2825-2857(33), Ingenta.    
  22. On the intermediate asymptote of diffusion-limited reactions in a fractal porous catalyst
    Sheintuch M.
    Chemical Engineering Science, February 2000, vol. 55, no. 3, pp. 615-624(10), Ingenta.    
  23. Fractal geometry and number theory. Complex dimensions of fractal strings and zeros of zeta functions.
    Lapidus, Michel L.; van Frankenhuysen, Machiel
    Birkhäuser Boston, Inc., Boston, MA, 2000. xii+268 pp. ISBN: 0-8176-4098-3, MathSciNet.  
  24. Frontière du fractal de Rauzy et système de numération complexe. (French) [Rauzy fractal boundary and complex number system]
    Messaoudi, Ali
    Acta Arith. 95 (2000), no. 3, 195--224, MathSciNet.  
  25. Fractal analysis of heart rate dynamics as a predictor of mortality in patients with depressed left ventricular function after acute myocardial infarction - chaos theory, fractals, and complexity at the bedside
    Makikallio T.H.; Hoiber S.; Kober L.; Torp-Pedersen C.; Peng C.-K.; Goldberger A.L.; Huikuri H.V.
    The American Journal of Cardiology, 15 March 1999, vol. 83, no. 6, pp. 836-839(4), Ingenta.    
  26. Dynamical systems excited by temporal inputs: fractal transition between excited attractors.
    Gohara, Kazutoshi; Okuyama, Arata
    Fractals 7 (1999), no. 2, 205--220, MathSciNet.  
  27. Measuring changes in landscape pattern from satellite images: short-term effects of fire on spatial diversity
    Chuvieco E.
    International Journal of Remote Sensing, 15 August 1999, vol. 20, no. 12, pp. 2331-2346(16), Ingenta.    
  28. Fractal dimensions for rainfall time series
    Breslin M.C.; Belward J.A.
    Mathematics and Computers in Simulation, June 1999, vol. 48, no. 4, pp. 437-446(10), Ingenta.    
  29. A domain-theoretic approach to computability on the real line
    Edalat A.; Sunderhauf P.
    Theoretical Computer Science, 6 January 1999, vol. 210, no. 1, pp. 73-98(26), Ingenta.     
  30. External and internal macromorphology in 3D-reconstructed maxillary molars using computerized X-ray microtomography
    Bjørndal L.; Carlsen O.; Thuesen G.; Darvann T.; Kreiborg S.
    International Endodontic Journal, January 1999, vol. 32, no. 1, pp. 3-9(0), Ingenta.     
  31. Time Course of Reactions Controlled and Gated by Intramolecular Dynamics of Proteins: Predictions of the Model of Random Wall on Fractal Lattices  
    M. Kurzynski; K. Palacz; P. Chelminiak  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 95, No. 20. (Sep. 29, 1998), pp. 11685-11690, Jstor.  
  32. Fractal analysis of mammographic lesions: A prospective, blinded trial
    Velanovich V.
    Breast Cancer Research and Treatment, June 1998, vol. 49, no. 3, pp. 245-249(5), Ingenta.     
  33. Bud-Sequence conjecture on M fractal image and M-J conjecture between C and Z planes from z < - z w+c (w=+i)
    Chen N.; Zhu W.
    Computers & Graphics, August 1998, vol. 22, no. 4, pp. 537-546(10), Ingenta.    
  34. Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors
    Feudel U.; Grebogi C.; Poon L.; Yorke J.A.
    Chaos, Solitons and Fractals, January 1998, vol. 9, no. 1, pp. 171-180(10), Ingenta.     
  35. The kinetics of cancer cells and of HIV1: the problems of cell and virus rebounds and of latency
    Mathe G.
    Biomedicine and Pharmacotherapy, December 1998, vol. 52, no. 10, pp. 413-420(8), Ingenta.     
  36. Fractal Properties of Cancellous Bone of the Iliac Crest in Vertebral Crush Fracture - Standardization of nomenclature, symbols, and units
    Fazzalari N.L.; Parkinson I.H.
    Bone, July 1998, vol. 23, no. 1, pp. 53-57(5), Ingenta.     
  37. Fractal dimension of sets induced by bases of imaginary quadratic fields.
    Thuswaldner, Jörg M.
    Math. Slovaca 48 (1998), no. 4, 365--371, MathSciNet.  
  38. Propriétés arithmétiques et dynamiques du fractal de Rauzy. (French) [Arithmetical and dynamical properties of the Rauzy fractal]
    Messaoudi, Ali
    J. Théor. Nombres Bordeaux 10 (1998), no. 1, 135--162, MathSciNet.  
  39. Fraktale und Julia-Mengen. (German) [Fractals and Julia sets] With 1 CD-ROM (Windows).
    Dufner, J.; Roser, A.; Unseld, F.
    Verlag Harri Deutsch, Thun, 1998. viii+288 pp. ISBN: 3-8171-1564-4, MathSciNet.  
  40. Fractal Geometry Gets the Measure of Life's Scales (in Research News)  
    Nigel Williams  
    Science, New Series, Vol. 276, No. 5309. (Apr. 4, 1997), p. 34, Jstor.  
  41. On the Inverse Fractal Problem for Two-Dimensional Attractors  
    A. Deliu; J. Geronimo; R. Shonkwiler  
    Philosophical Transactions: Mathematical, Physical and Engineering Sciences, Vol. 355, No. 1726. (May 15, 1997), pp. 1017-1062, Jstor.  
  42. Fractal Geometry of Bean Root Systems: Correlations between Spatial and Fractal Dimension (in Structure and Development)  
    Kai L. Nielsen; Jonathan P. Lynch; Howard N. Weiss  
    American Journal of Botany, Vol. 84, No. 1. (Jan., 1997), pp. 26-33, Jstor.  
  43. Correcting for Finite Spatial Scales of Self-Similarity when Calculating the Fractal Dimensions of Real-World Structures  
    G. M. Berntson; P. Stoll  
    Proceedings: Biological Sciences, Vol. 264, No. 1387. (Oct. 22, 1997), pp. 1531-1537, Jstor.  
  44. On the Inverse Fractal Problem for Two-Dimensional Attractors  
    A. Deliu; J. Geronimo; R. Shonkwiler  
    Philosophical Transactions: Mathematical, Physical and Engineering Sciences, Vol. 355, No. 1726. (May 15, 1997), pp. 1017-1062, Jstor.  
  45. Predictions for Pulsed-Field-Gradient NMR Experiments of Diffusion in Fractal Spaces  
    R. A. Damion; K. J. Packer  
    Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 453, No. 1956. (Jan. 8, 1997), pp. 205-211, Jstor.  
  46. Bifurcation sequences in an incompletely macromixed stirred tank
    Liu C.I.; Wen H.J.; Lee D.J.
    Chemical Physics Letters, 6 June 1997, vol. 271, no. 1, pp. 167-170(4), Ingenta.    
  47. Shape characterization with the wavelet transform
    Antoine J.-P.; Barache D.; Cesar R.M.; da Fontoura Costa L.
    Signal Processing, November 1997, vol. 62, no. 3, pp. 265-290(26), Ingenta.     
  48. Lacunarity of random fractals.
    Solis, Francisco J.; Tao, Louis
    Phys. Lett. A 228 (1997), no. 6, 351--356, MathSciNet.  
  49. Fractal geometry of images of continuous embeddings of p-adic numbers and solenoids into Euclidean spaces. (Russian)
    Chistyakov, D. V.
    Teoret. Mat. Fiz. 109 (1996), no. 3, 323--337; translation in Theoret. and Math. Phys. 109 (1996), no. 3, 1495--1507 (1997), MathSciNet.  
  50. Fractals in Linear Algebra (in Computer Corner)  
    James A. Walsh  
    The College Mathematics Journal, Vol. 27, No. 4. (Sep., 1996), pp. 298-304, Jstor.  
  51. A General Fractal Distribution Function for Rough Surface Profiles  
    Denis Blackmore; Jack G. Zhou  
    SIAM Journal on Applied Mathematics, Vol. 56, No. 6. (Dec., 1996), pp. 1694-1719, Jstor.  
  52. Fractal Dimensions and Random Transformations  
    Yuri Kifer  
    Transactions of the American Mathematical Society, Vol. 348, No. 5. (May, 1996), pp. 2003-2038, Jstor.  
  53. Error Bounds on the Estimation of Fractal Dimension  
    B. Dubuc; S. Dubuc  
    SIAM Journal on Numerical Analysis, Vol. 33, No. 2. (Apr., 1996), pp. 602-626, Jstor.  
  54. The low-frequency dielectric properties of octopus arm muscle measured in vivo
    Hart F.X.; Toll R.B.; Berner N.J.; Bennett N.H.
    Physics in Medicine and Biology, 1996, vol. 41, no. 10, pp. 2043-2052(10), Ingenta.     
  55. On the recognition of soot agglomerate morphology from light scattering/extinction measurements
    di Stasio S.
    Journal of Aerosol Science, September 1996, vol. 27, no. 1001, pp. 713-714(2), Ingenta.     
  56. Sylow Fractals (in Notes)  
    Ben Brewster; Michael B. Ward  
    Mathematics Magazine, Vol. 68, No. 5. (Dec., 1995), pp. 372-376, Jstor.  
  57. Fractal Dimension as a Quantitative Measure of Complexity in Plant Development  
    John D. Corbit; David J. Garbary  
    Proceedings: Biological Sciences, Vol. 262, No. 1363. (Oct. 23, 1995), pp. 1-6, Jstor.  
  58. Earthquakes in the Los Angeles Metropolitan Region: A Possible Fractal Distribution of Rupture Size (in Reports)  
    S. E. Hough  
    Science, New Series, Vol. 267, No. 5195. (Jan. 13, 1995), pp. 211-213, Jstor.  
  59. Differences in horizontal-cell nematosomes of two teleost species during light and dark adaptation
    Garcia M.; Guardiola J.V.; Balboa R.; De Juan J.
    Vision Research, October 1995, vol. 35, no. 1000, pp. 236-236(1), Ingenta.     
  60. Fractal aggregation of basin islands in two-dimensional quadratic noninvertible maps.
    Mira, C.; Rauzy, C.
    Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 4, 991--1019, MathSciNet.  
  61. Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals.
    Lapidus, Michel L.
    Harmonic analysis and nonlinear differential equations (Riverside, CA, 1995), 211--252, Contemp. Math., 208, Amer. Math. Soc., Providence, RI, 1997, MathSciNet.  
  62. Algorithms, fractals, and dynamics. Papers from the Hayashibara Forum '92 International Symposium on New Bases for Engineering Science, Algorithms, Dynamics and Fractals held in Okayama, November 23--28, 1992, and the Symposium on Algorithms, Fractals and Dynamics held at Kyoto University, Kyoto, November 30--December 2, 1992.
    Edited by Y. Takahashi.
    Plenum Publishing Corp., New York, 1995. viii+227 pp. ISBN: 0-306-45127-1 00B25, MathSciNet.  
  63. Fractals in Earthquakes  
    Mitsuhiro Matsuzaki  
    Philosophical Transactions: Physical Sciences and Engineering, Vol. 348, No. 1688, Chaos and Forecasting. (Sep. 15, 1994), pp. 449-457, Jstor.  
  64. The Takaga Operator, Bernoulli Sequences, Smoothness Conditions, and Fractal Curves  
    Anca Deliu; Peter Wingren  
    Proceedings of the American Mathematical Society, Vol. 121, No. 3. (Jul., 1994), pp. 871-881, Jstor.  
  65. Fractal Properties of Invariant Subsets for Piecewise Monotonic Maps on the Interval  
    Franz Hofbauer; Mariusz Urbanski  
    Transactions of the American Mathematical Society, Vol. 343, No. 2. (Jun., 1994), pp. 659-673, Jstor.  
  66. Dimension Functions for Fractal Sets Associated to Series  
    Manuel Moran  
    Proceedings of the American Mathematical Society, Vol. 120, No. 3. (Mar., 1994), pp. 749-754, Jstor.  
  67. A Discrete Fractal in Z^1+  
    Davar Khoshnevisan
    Proceedings of the American Mathematical Society, Vol. 120, No. 2. (Feb., 1994), pp. 577-584, Jstor.  
  68. From beta-expansions to chaos and fractals.
    Luzeaux, Dominique
    Complexity Internat. 1 (1994), April, (electronic only), MathSciNet.  
  69. Fractal images of generalized Mandelbrot sets.
    Shiah, Aichyun; Ong, Kim-Khoon; Musielak, Zdzislaw E.
    Fractals 2 (1994), no. 1, 111--121, MathSciNet.  
  70. Fractal analysis user's guide. Introduction to fractal sets using Windows 3.x. With 1 IBM-PC floppy disk (3.5 inch; DD).
    Ferland, Pierre; Tricot, Claude; van de Walle, Axel
    American Mathematical Society, Providence, RI; Université de Montréal, Centre de Recherches Mathématiques, Montreal, QC, 1994. viii+36 pp. ISBN: 0-8218-0999-7, MathSciNet.  
  71. Fractal Basin Street Blues  
    Maurice Machover  
    Mathematics Magazine, Vol. 66, No. 4. (Oct., 1993), p. 226, Jstor.  
  72. Particles Floating on a Moving Fluid: A Dynamically Comprehensible Physical Fractal (in Research Article)  
    John C. Sommerer; Edward Ott  
    Science, New Series, Vol. 259, No. 5093. (Jan. 15, 1993), pp. 335-339, Jstor.  
  73. An Example of a Two-Term Asymptotics for the "Counting Function" of a Fractal Drum  
    Jacqueline Fleckinger-Pelle; Dmitri G. Vassiliev  
    Transactions of the American Mathematical Society, Vol. 337, No. 1. (May, 1993), pp. 99-116, Jstor.  
  74. Diffusive Transport across Irregular and Fractal Walls  
    Mark Brady; C. Pozrikidis  
    Proceedings: Mathematical and Physical Sciences, Vol. 442, No. 1916. (Sep. 8, 1993), pp. 571-583, Jstor.  
  75. Hitting Time Bounds for Brownian Motion on a Fractal  
    William B. Krebs  
    Proceedings of the American Mathematical Society, Vol. 118, No. 1. (May, 1993), pp. 223-232, Jstor.  
  76. Fractal Dimensions and Singularities of the Weierstrass Type Functions  
    Tian-You Hu; Ka-Sing Lau  
    Transactions of the American Mathematical Society, Vol. 335, No. 2. (Feb., 1993), pp. 649-665, Jstor.  
  77. Undecidable problems in fractal geometry.
    Dube, Simant
    Complex Systems 7 (1993), no. 6, 423--444, MathSciNet.  
  78. Fractals in natural sciences. Papers from the conference held in Budapest, August 30--September 2, 1993.
    Edited by T. Vicsek, M. Shlesinger and M. Matsushita.
    World Scientific Publishing Co., Inc., River Edge, NJ, 1994. xii+644 pp. ISBN: 981-02-1624-6, MathSciNet.  
  79. Fractals and Cosmological Large-Scale Structure (in Reports)  
    Xiaochun Luo; David N. Schramm  
    Science, New Series, Vol. 256, No. 5056. (Apr. 24, 1992), pp. 513-515, Jstor.  
  80. Fractal music, hypercards and more dots.  
    Gardner, Martin
    Mathematical recreations from Scientific American magazine. W. H. Freeman and Company, New York, 1992. x+327 pp. ISBN: 0-7167-2188-0; 0-7167-2189-9, MathSciNet.  
  81. Fractal image coding techniques and contraction operators. Special issue on image processing.
    Bedford, T.; Dekking, F. M.; Keane, M. S.
    Nieuw Arch. Wisk. (4) 10 (1992), no. 3, 185--217, MathSciNet.  
  82. Fractals Illustrate the Mathematical Way of Thinking (in Classroom Computer Capsule)  
    Yves Nievergelt  
    The College Mathematics Journal, Vol. 22, No. 1. (Jan., 1991), pp. 60-64, Jstor.  
  83. Teaching about Fractals (in Computer Corner)  
    Stephen J. Willson  
    The College Mathematics Journal, Vol. 22, No. 1. (Jan., 1991), pp. 56-59, Jstor.  
  84. Number Systems With a Complex Base: a Fractal Tool for Teaching Topology (in The Teaching of Mathematics)  
    Daniel Goffinet  
    The American Mathematical Monthly, Vol. 98, No. 3. (Mar., 1991), pp. 249-255, Jstor.  
  85. Beating a Fractal Drum (in Research News)  
    Faye Flam  
    Science, New Series, Vol. 254, No. 5038. (Dec. 13, 1991), p. 1593, Jstor.  
  86. Fractal Dimensions and Spectra of Interfaces with Application to Turbulence  
    J. C. Vassilicos; J. C. R. Hunt  
    Proceedings: Mathematical and Physical Sciences, Vol. 435, No. 1895. (Dec. 9, 1991), pp. 505-534, Jstor.  
  87. Fractal Crushing of Ice and Brittle Solids  
    A. C. Palmer; T. J. O. Sanderson  
    Proceedings: Mathematical and Physical Sciences, Vol. 433, No. 1889. (Jun. 8, 1991), pp. 469-477, Jstor.  
  88. Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture  
    Michel L. Lapidus  
    Transactions of the American Mathematical Society, Vol. 325, No. 2. (Jun., 1991), pp. 465-529, Jstor.  
  89. Self-Similar Sets 5. Integer Matrices and Fractal Tilings of R^n  
    Christoph Bandt  
    Proceedings of the American Mathematical Society, Vol. 112, No. 2. (Jun., 1991), pp. 549-562, Jstor.  
  90. Visual Discrimination of Fractal Borders  
    Gerald Westheimer  
    Proceedings: Biological Sciences, Vol. 243, No. 1308. (Mar. 22, 1991), pp. 215-219, Jstor.  
  91. Fractals, chaos, power laws. Minutes from an infinite paradise.
    Schroeder, Manfred
    W. H. Freeman and Company, New York, 1991. xviii+429 pp. ISBN: 0-7167-2136-8, MathSciNet.  
  92. Newton's Method and Fractal Patterns  
    Straffin, Philip D.
    UMAP J., (1991), V. 12, No. 2, pp. 147-164, and UMAP, Module 716, pp. 1-18, COMAP, Inc. Lexington, MA 02420 USA. COMAP   
  93. Fractals and Transformations  
    Bannon, Thomas J.  
    Math. Teach., (1991), V. 81, No. 3, pp. 178-185.
  94. Blake and Fractals  
    J. D. Memory  
    Mathematics Magazine, Vol. 63, No. 4. (Oct., 1990), p. 280, Jstor.  
  95. Fractal Geometry of Music  
    Kenneth J. Hsu; Andreas J. Hsu  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 87, No. 3. (Feb., 1990), pp. 938-941, Jstor.  
  96. Fractal Fracas (in Research News)  
    Robert Pool  
    Science, New Series, Vol. 249, No. 4967. (Jul. 27, 1990), pp. 363-364, Jstor.  
  97. Fractal Control Boundaries of Driven Oscillators and their Relevance to Safe Engineering Design  
    J. M. T. Thompson; M. S. Soliman  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 428, No. 1874. (Mar. 8, 1990), pp. 1-13, Jstor.  
  98. Fractal Control Boundaries of Driven Oscillators and their Relevance to Safe Engineering Design  
    J. M. T. Thompson; M. S. Soliman  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 428, No. 1874. (Mar. 8, 1990), pp. 1-13, Jstor.  
  99. Chaos and fractals from third-order digital filters.
    Chua, L. O.; Lin, T.
    Internat. J. Circuit Theory Appl. 18 (1990), no. 3, 241--255, MathSciNet.  
  100. Polymers, Fractals, and Ceramic Materials  
    Dale W. Schaefer  
    Science, New Series, Vol. 243, No. 4894. (Feb. 24, 1989), pp. 1023-1027, Jstor.  
  101. Fractal Geometry: What is it, and What Does it do?  
    B. B. Mandelbrot  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 423, No. 1864, Fractals in the Natural Sciences. (May 8, 1989), pp. 3-16, Jstor.  
  102. Experiments on the Structure and Vibrations of Fractal Solids  
    E. Courtens; R. Vacher  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 423, No. 1864, Fractals in the Natural Sciences. (May 8, 1989), pp. 55-69, Jstor.  
  103. Flow Through Porous Media: Limits of Fractal Patterns  
    R. Lenormand  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 423, No. 1864, Fractals in the Natural Sciences. (May 8, 1989), pp. 159-168, Jstor.  
  104. Evaluating the Fractal Dimension of Surfaces  
    B. Dubuc; S. W. Zucker; C. Tricot; J. F. Quiniou; D. Wehbi  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 425, No. 1868. (Sep. 8, 1989), pp. 113-127, Jstor.  
  105. Fractal growth phenomena. With a foreword by Benoit B. Mandelbrot.
    Vicsek, Tamás
    World Scientific Publishing Co., Inc., Teaneck, NJ, 1989. xii+355 pp. ISBN: 9971-50-422-1; 9971-50-830-3, MathSciNet.  
  106. Chaos, fractals and dynamics. Computer experiments in mathematics.
    Devaney, Robert
    Science Television, New York; distributed by the American Mathematical Society, Providence, RI, 1989. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col. ISBN: 1-878310-00-3, MathSciNet.  
  107. On a limiting fractal measure defined by conjugate algebraic integers.
    Davie, A. M.; Smyth, C. J.
    Groupe de Travail en Théorie Analytique et Élémentaire des Nombres, 1987--1988, 93--103, Publ. Math. Orsay, 89-01, Univ. Paris XI, Orsay, 1989, MathSciNet.  
  108. Fractal Reaction Kinetics  
    Raoul Kopelman  
    Science, New Series, Vol. 241, No. 4873. (Sep. 23, 1988), pp. 1620-1626, Jstor.  
  109. A Computer Algorithm for Determining the Hausdorff Dimension of Certain Fractals  
    Lucy Garnett  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 291-300, Jstor.  
  110. The science of fractal images.
    With contributions by Yuval Fisher and Michael McGuire. Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard F.
    Springer-Verlag, New York, 1988. xiv+312 pp. ISBN: 0-387-96608-0, MathSciNet.  
  111. Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics  
    Celso Grebogi; Edward Ott; James A. Yorke  
    Science, New Series, Vol. 238, No. 4827. (Oct. 30, 1987), pp. 632-638, Jstor.  
  112. Fractals: Math. Monsters  
    Zobitz, Jennifer
    Pi Mu Epsilon J., (1987), V. 8, No. 7, pp. 425-440.
  113. Complex bases and fractal similarity.
    Gilbert, William J.
    Ann. Sci. Math. Québec 11 (1987), no. 1, 65--77, MathSciNet.  
  114. The fractal dimension of sets derived from complex bases.
    Gilbert, William J.
    Canad. Math. Bull. 29 (1986), no. 4, 495--500, MathSciNet.  
  115. Fractal Surfaces of Proteins (in Reports)  
    Mitchell Lewis; D. C. Rees  
    Science, New Series, Vol. 230, No. 4730. (Dec. 6, 1985), pp. 1163-1165, Jstor.  
  116. Iterated Function Systems and the Global Construction of Fractals  
    M. F. Barnsley; S. Demko  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 399, No. 1817. (Jun. 8, 1985), pp. 243-275, Jstor.  
  117. Fractal Fingers in Viscous Fluids (in Research News)  
    Arthur L. Robinson  
    Science, New Series, Vol. 228, No. 4703. (May 31, 1985), pp. 1077-1080, Jstor.  
  118. Structure and crises of fractal basin boundaries.
    McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
    Phys. Lett. A 107 (1985), no. 2, 51--54, MathSciNet.  
  119. Additional Perspectives on Fractals  
    Barcellos and Mandelbrot
    The College Mathematics Journal, Vol. 15, No. 2. (Mar., 1984), pp. 115-119, Jstor.  
  120. The Fractal Geometry of Mandelbrot  
    Anthony Barcellos  
    The College Mathematics Journal, Vol. 15, No. 2. (Mar., 1984), pp. 98-114, Jstor.  
  121. Self-Inverse Fractals Osculated by Sigma-Discs and the Limit Sets of Inversion Groups  
    Mandelbrot, Benoit B.  
    Math. Intell., (1983), V. 5, No. 2, pp. 9-17.
  122. Fractal Geometry Derived from Complex Bases  
    Gilbert, William J.  
    Math. Intell., (1982), V. 4, pp. 78-86, MathSciNet.  
  123. On the Weierstrass-Mandelbrot Fractal Function  
    M. V. Berry; Z. V. Lewis  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 370, No. 1743. (Apr. 24, 1980), pp. 459-484, Jstor.  
  124. Stochastic Models for the Earth's Relief, the Shape and the Fractal Dimension of the Coastlines, and the Number-Area Rule for Islands  
    Benoit B. Mandelbrot  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 72, No. 10. (Oct., 1975), pp. 3825-3828, Jstor.  

 

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