Bubbles and Crashes: a Simulation Approach

In joint work since 2004 we have created a family of agent-based models for nancial markets in which bubbles and crashes occur in imitation of real markets. The evolution of behavioral rules in these models has shed light on some possible mechanisms used by human account managers or traders. Our programming environment, NetLogo, has proved ideal for this work, and also oers a feature, HubNet, capable of extending simulations to include human

[1]  D. Meadows,et al.  The limits to growth. A report for the Club of Rome's project on the predicament of mankind. , 1972 .

[2]  J. Lockyer Scientific Literature: The Dawn of Astronomy, a Study of the Temple-Worship and Mythology of the Ancient Egyptians , 2022 .

[3]  R. Sheldrake Morphic Resonance: The Nature of Formative Causation , 2009 .

[4]  I. Rowland Giordano Bruno: Philosopher/Heretic , 2008 .

[5]  R. Llinás,et al.  Human oscillatory brain activity near 40 Hz coexists with cognitive temporal binding. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[6]  R. Wasson Soma: divine mushroom of immortality , 1969 .

[7]  K. Pearson The Dorak affair , 1968 .

[8]  Economics and the Environment: Global Erodynamic Models , 1993 .

[9]  Ksenija Atanasijević The metaphysical and geometrical doctrine of Bruno, as given in his work De triplici minimo , 1972 .

[10]  Rachel Carson,et al.  The Sea around Us , 1951 .

[11]  Ralph Abraham,et al.  Mathematics and evolution: A manifesto , 1987 .

[12]  Linda Pilkey-Jarvis,et al.  :Useless Arithmetic: Why Environmental Scientists Cant Predict the Future , 2007 .

[13]  Diana X. Tran,et al.  Corrections , 1898, The Lancet Neurology.

[14]  Steve J. Heims,et al.  John Von Neumann and Norbert Wiener, From Mathematics to the Technologies of Life and Death , 1980 .

[15]  Richard Kostelanetz,et al.  The portable Baker's biographical dictionary of musicians , 1988 .

[16]  Ralph Abraham,et al.  Foundations Of Mechanics , 2019 .

[17]  Hilary Gatti,et al.  Giordano Bruno and Renaissance Science , 1998 .

[18]  Keith Devlin,et al.  Mathematics, the science of patterns : the search for order in life, mind, and the universe , 1994 .

[19]  W. Tucker The Lorenz attractor exists , 1999 .

[20]  R. G. Bauval,et al.  The Orion Mystery: Unlocking The Secrets of the Pyramids , 1994 .

[21]  Oleg Grabar The Mediation of Ornament , 1992 .

[22]  P. J. Myrberg Iteration der reellen Polynome zweiten Grades III , 1964 .

[23]  Herman Shapiro,et al.  Motion, Time and Place According to William Ockham , 2015 .

[24]  R. Ellis The empty ocean : plundering the world's marine life , 2003 .

[25]  Michael Barr,et al.  The Emperor's New Mind , 1989 .

[26]  P. V. Geert,et al.  Dynamic systems approaches and modeling of developmental processes. , 2003 .

[27]  S. White The Unity of the Self , 1991 .

[28]  J. Burckhardt,et al.  The Civilization of the Renaissance in Italy , 1860 .

[29]  P. Davies The Tribal eye : antique kilims of Anatolia , 1993 .

[30]  R. May,et al.  Bifurcations and Dynamic Complexity in Simple Ecological Models , 1976, The American Naturalist.

[31]  R. Thom Stabilité structurelle et morphogénèse : essai d'une théorie générale des modèles , 1977 .

[32]  C. H. Waddington Tools for thought : how to understand and apply the latest scientific techniques of problem solving , 1977 .

[33]  F. Stein,et al.  Quantum Reality: Beyond the New Physics , 1985 .

[34]  K. Saltzman-Li,et al.  The Japanese Theater, From Shamanistic Ritual to Contemporary Pluralism . By Benito Ortolani. Princeton: Princeton University Press, 1995. xv, 375 pp. $19.95. , 1996, The Journal of Asian Studies.

[35]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .

[36]  Clifford A. Pickover,et al.  Computers, Pattern, Chaos and Beauty , 1990 .

[37]  D. P. Walker Spiritual and Demonic Magic: From Ficino to Campanella , 1958 .

[38]  Daniel N. Ostrov,et al.  Conspicuous consumption dynamics , 2008, Games Econ. Behav..

[39]  Steven H. Strogatz,et al.  Sync: The Emerging Science of Spontaneous Order , 2003 .

[40]  Dudley D. Dillard Can “It” Happen Again? Essays on Instability and Finance , 1984 .

[41]  F. Takens,et al.  On the nature of turbulence , 1971 .

[42]  René M. Stulz,et al.  Working Paper Series the Determinants of the Flow of Funds of Managed Portfolios: Mutual Funds versus Pension Funds the Determinants of the Flow of Funds of Managed Portfolios: Mutual Funds versus Pension Funds , 2022 .

[43]  Gérard Degeorge,et al.  The Art of the Islamic Tile , 2002 .

[44]  Harold Levine,et al.  Singularities of differentiable mappings , 1971 .

[45]  Hava T. Siegelmann,et al.  Neural networks and analog computation - beyond the Turing limit , 1999, Progress in theoretical computer science.

[46]  J. Cowan,et al.  A mathematical theory of visual hallucination patterns , 1979, Biological Cybernetics.

[47]  J. Shear The Inner Dimension: Philosophy and the Experience of Consciousness , 1991 .

[48]  E. Grant Physical Science In The Middle Ages , 1971 .

[49]  L. Marton,et al.  Atomism in England from Hariot to Newton , 1967 .

[50]  James R. Voelkel The Composition of Kepler's Astronomia nova , 2001 .

[51]  Christian Mira SOME HISTORICAL ASPECTS CONCERNING THE THEORY OF DYNAMIC SYSTEMS , 1986 .

[52]  L. Canfora The Vanished Library: A Wonder of the Ancient World , 1990 .

[53]  Colin Renfrew,et al.  Prehistory: The Making of the Human Mind , 2007 .

[54]  L. Brower,et al.  Time, temperature, and latitudinal constraints on the annual recolonization of eastern North America by the monarch butterfly , 1993 .

[55]  Stephen Grossberg,et al.  Neural dynamics of adaptive sensory-motor control , 1986 .

[56]  R. Abraham Mathematics and the Psychedelic Revolution , 2008 .

[57]  D. A. Green,et al.  The historical supernovae , 2003, astro-ph/0301603.

[58]  Mark S. G. Dyczkowski,et al.  The Stanzas on Vibration: The Spandakarika with Four Commentaries. , 1994, The Journal of Asian Studies.

[59]  S. H. Nasr The Need for a Sacred Science , 1993 .

[60]  C. Safina,et al.  Song for the Blue Ocean: Encounters along the World's Coasts and beneath the Seas , 1998 .

[61]  R. Onians,et al.  The Origins of European Thought about the Body, the Mind, the Soul, the World, Time and Fate. , 1951 .

[62]  Steven H. Strogatz,et al.  Nonlinear Dynamics and Chaos , 2024 .

[63]  C. Gamble Timewalkers: The Prehistory of Global Colonization , 1993 .

[64]  B. Stephenson The Music of the Heavens: Kepler's Harmonic Astronomy , 1996 .

[65]  Stephen Smale,et al.  The Mathematics of Time: Essays on Dynamical Systems, Economic Processes, and Related Topics , 1980 .

[66]  H. Crawford,et al.  Sumer and the Sumerians , 1991 .

[67]  A. Downs An Economic Theory of Democracy , 1957 .

[68]  K. Armstrong,et al.  Islam: A Short History , 2000 .

[69]  R. Sorabji Matter, Space, and Motion: Theories in Antiquity and Their Sequel , 1988 .

[70]  George Gheverghese Joseph,et al.  The crest of the peacock: Non-European roots of mathematics , 1992 .

[71]  Brian Davies,et al.  The Thought of Thomas Aquinas , 1992 .

[72]  Quentin Skinner,et al.  The Cambridge History of Renaissance Philosophy. , 1992, The Philosophical Review.

[73]  T. Kuhn,et al.  The Structure of Scientific Revolutions. , 1964 .

[74]  Giovanni Manetti Theories of the sign in classical antiquity , 1993 .

[75]  F. Bungener History of the Council of Trent , 2006 .

[76]  E. H. Walker The physics of consciousness : the quantum minds and the meaning of life , 2000 .

[77]  F. M. Cornford Before and after Socrates: SOCRATES , 1932 .

[78]  Howard Eves,et al.  An introduction to the history of mathematics , 1953 .

[79]  R. Sorabji Time, creation and the continuum : theories in antiquity and the early Middle Ages , 1986 .

[80]  G. Bateson,et al.  Angels Fear: Towards an Epistemology of the Sacred , 1987 .

[81]  E. Thompson,et al.  Mind in life : biology, phenomenology, and the sciences of mind , 2007 .

[82]  D. Pauly,et al.  In a Perfect Ocean: The State Of Fisheries And Ecosystems In The North Atlantic Ocean , 2003 .

[83]  A. Leffler,et al.  Sonya Kovalevsky; Her Recollections of Childhood , 2010 .

[84]  Giorgio De Santillana,et al.  The crime of Galileo , 1955 .

[85]  Alexandre Papadopoulo,et al.  Islam And Muslim Art , 1976 .

[86]  M. Viana What’s new on lorenz strange attractors? , 2000 .

[87]  P. Brooks The house of life: Rachel Carson at work , 1972 .

[88]  W. Schaffer Order and Chaos in Ecological Systems , 1985 .

[89]  Riane Eisler,et al.  The Chalice and the Blade: Our History, Our Future , 1998 .

[90]  S. Kraemer Steps to an Ecology of Mind: Gregory Bateson , 1993, British Journal of Psychiatry.

[91]  M. Gimbutas,et al.  The Living Goddesses , 1999 .

[92]  Ervin Laszlo,et al.  The Systems View of the World: A Holistic Vision for Our Time , 1996 .

[93]  Arthur W. Burks,et al.  Essays on cellular automata , 1970 .

[94]  S. Mithen,et al.  The Singing Neanderthals: the Origins of Music, Language, Mind and Body, by Steven Mithen. London: Weidenfeld & Nicholson, 2005. ISBN 0-297-64317-7 hardback £20 & US$25.2; ix+374 pp. , 2006, Cambridge Archaeological Journal.

[95]  J. Dunne,et al.  An Experiment with Time , 2022 .

[96]  M. Balter The goddess and the bull , 2004 .

[97]  N. N. Bogoli︠u︡bov,et al.  Introduction to non-linear mechanics , 1943 .

[98]  N. Lockyer Stonehenge and Other British Stone Monuments Astronomically Considered , 2003 .

[99]  C. Sparrow The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors , 1982 .

[100]  S. Oppenheimer Eden in the East: The Drowned Continent of Southeast Asia , 1998 .

[101]  J. Kassler,et al.  Quantifying music : the science of music at the first stage of the scientific revolution, 1580-1650 , 1984 .

[102]  K. Bonde Food of the Gods: The Search for the Original Tree of Knowledge , 1995 .

[103]  S. Oppenheimer The Real Eve: Modern Man's Journey Out of Africa , 2003 .

[104]  J. Connor Kepler's Witch: An Astronomer's Discovery of Cosmic Order Amid Religious War, Political Intrigue, and the Heresy Trial of His Mother , 2004 .

[105]  R. Beverton,et al.  On the dynamics of exploited fish populations , 1993, Reviews in Fish Biology and Fisheries.

[106]  Dean Radin,et al.  The Conscious Universe: The Scientific Truth of Psychic Phenomena , 1997 .

[107]  L. Spruit Species Intelligibilis: From Perception to Knowledge , 1994 .

[108]  E. Jantsch Design for Evolution: Self-Organization and Planning in the Life of Human Systems , 1975 .

[109]  Richard M. Goodwin,et al.  Chaotic Economic Dynamics , 1990 .

[110]  J. C. Gregory A short history of atomism from Democritus to Bohr , 1931 .

[111]  René Thom,et al.  Structural stability and morphogenesis - an outline of a general theory of models , 1977, Advanced book classics.

[112]  M. Gimbutas The language of the goddess : unearthing the hidden symbols of western civilization , 1991 .

[113]  金春 国雄,et al.  The Noh theater : principles and perspectives , 1984 .

[114]  A. Leroi‐Gourhan Treasures of prehistoric art , 1967 .

[115]  F. Yates,et al.  Giordano Bruno and the Hermetic Tradition , 1964 .

[116]  Jge Cross,et al.  New Grove Dictionary of Music and Musicians , 2000 .

[117]  Ralph Abraham Complex dynamics and the social sciences , 1987 .

[118]  P. Frank Einstein: His Life And Times , 1963 .

[119]  Melanie Mitchell,et al.  Complexity - A Guided Tour , 2009 .

[120]  F. Takens Forced oscillations and bifurcations , 2001 .

[121]  I. Prigogine,et al.  Exploring Complexity: An Introduction , 1989 .

[122]  Leonard Shlain,et al.  The alphabet versus the goddess: The conflict between word and image. , 2005, Journal of the American College of Surgeons.

[123]  L. Walford,et al.  Under the sea-wind : a naturalist's picture of ocean life , 1942 .

[124]  A. Winfree Spiral Waves of Chemical Activity , 1972, Science.

[125]  W. Rutherford Pythagoras: Lover Of Wisdom , 1984 .

[126]  G. Bateson,et al.  Mind and Nature: A Necessary Unity , 1979 .

[127]  G. Pascal Zachary Endless Frontier: Vannevar Bush, Engineer of the American Century , 1997 .

[128]  D. Friedman Towards evolutionary game models of financial markets , 2001 .

[129]  D. Kennedy Little Sparrow: A Portrait of Sophia Kovalevsky , 1983 .

[130]  R. Abraham,et al.  Transversality in manifolds of mappings , 1963 .

[131]  Frederick David Abraham,et al.  The Use of Fractals for the Study of the Psychology of Perception , 2003 .

[132]  M. Golubitsky,et al.  Stable mappings and their singularities , 1973 .

[133]  Dick Jardine,et al.  Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling , 2005 .

[134]  R. Hersh,et al.  Descartes' Dream: The World According to Mathematics , 1986 .

[135]  Albert-László Barabási,et al.  Linked - how everything is connected to everything else and what it means for business, science, and everyday life , 2003 .

[136]  Tad Hogg,et al.  Bubbles and Market Crashes , 1994, adap-org/9409001.

[137]  J. Lovelock Gaia: A New Look at Life on Earth , 1979 .

[138]  C. Mira I. Gumowski and a Toulouse Research Group in the "Prehistoric" Times of Chaotic Dynamics , 2000 .

[139]  D. Nicolle Historical Atlas of the Islamic World , 2003 .

[140]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

[141]  J. West Serpent in the sky : the high wisdom of Ancient Egypt , 1979 .

[142]  M. Gimbutas The goddesses and gods of Old Europe, 6500-3500 BC : myths and cult images , 1982 .

[143]  A. Watson,et al.  Biological homeostasis of the global environment: the parable of Daisyworld , 1983 .

[144]  E. Lorenz,et al.  The essence of chaos , 1993 .

[145]  O. Neugebauer The exact sciences in antiquity , 1952 .

[146]  Rupert Sheldrake,et al.  Dogs That Know When Their Owners Are Coming Home: And Other Unexplained Powers of Animals , 1999 .

[147]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[148]  Karl Popper The World of Parmenides: Essays on the Presocratic Enlightenment , 1998 .

[149]  S. S. Saraswati Sri Vijnana Bhairava Tantra: The Ascent , 2003 .

[150]  W. Fleming Arts and ideas , 1956 .

[151]  Felipe Cucker,et al.  On the mathematical foundations of learning , 2001 .

[152]  Manfred Fritz Bukofzer,et al.  Music in the Baroque era: from Monteverdi to Bach , 1948 .

[153]  Gilles Deleuze,et al.  The Fold: Leibniz and the Baroque , 1988 .

[154]  J. Tambling How We Became Posthuman: Virtual Bodies in Cybernetics, Literature and Informatics by N. Katherine Hayles (review) , 2001, Modern Language Review.

[155]  R. Abraham,et al.  THE PLANCK SCALE AND AGENT BASED SIMULATIONS OF QUANTUM SPACETIME , 2007 .

[156]  D. Lindberg,et al.  Roger Bacon and the Origins of Perspectiva in the Middle Ages: A Critical Edition and English Translation of Bacon's Perspectiva with Introduction and Notes , 1996 .

[157]  O. Rössler An equation for continuous chaos , 1976 .

[158]  Jay Wright Forrester,et al.  Urban Dynamics , 1969 .

[159]  L. Lear,et al.  Lost Woods: The Discovered Writing of Rachel Carson , 1998 .

[160]  Paul-Henri Michel,et al.  The cosmology of Giordano Bruno , 1973 .

[161]  E. Wickens The sacred and the profane: A Tourist Typology , 2002 .

[162]  A. Garfinkel,et al.  Dispersion of refractoriness and induction of reentry due to chaos synchronization in a model of cardiac tissue. , 2007, Physical review letters.

[163]  Kenneth Sylvan Guthrie,et al.  The Pythagorean Sourcebook and Library: An Anthology of Ancient Writings Which Relate to Pythagoras and Pythagorean Philosophy , 1987 .

[164]  Tien Yien Li,et al.  Exploring Chaos on an Interval , 2000 .

[165]  James Mellaart,et al.  Catal Huyuk: A Neolithic Town in Anatolia , 1967 .

[166]  Rupert Sheldrake,et al.  A New Science of Life: The Hypothesis of Formative Causation , 1981 .

[167]  ca. Proclus,et al.  Proclus' commentary on the first book of Euclid's elements , 1992 .

[168]  P. Stein,et al.  NON-LINEAR TRANSFORMATION STUDIES ON ELECTRONIC COMPUTERS , 1964 .

[169]  Peter H. Richter,et al.  The Beauty of Fractals , 1988, 1988.

[170]  S. Smale,et al.  Lectures of Smale on differential topology , 1963 .

[171]  Euel Elliott,et al.  Agent-based modeling in the social and behavioral sciences. , 2004, Nonlinear dynamics, psychology, and life sciences.

[172]  M. B. Schaefer,et al.  Some Considerations of Population Dynamics and Economics in Relation to the Management of the Commercial Marine Fisheries , 1957 .

[173]  G. Hancock,et al.  The message of the Sphinx : a quest for the hidden legacy of mankind , 1996 .

[174]  L. Brower Understanding and misunderstanding the migration of the monarch butterfly (Nymphalidae) in North America: 1857-1995 , 1995 .

[175]  T. Veblen The Theory of the Leisure Class , 1901 .

[176]  R. F. Williams,et al.  Structural stability of Lorenz attractors , 1979 .

[177]  J. Finamore Iamblichus and the theory of the vehicle of the soul , 1985 .

[178]  A. Thom,et al.  Megalithic Lunar Observatories , 1970 .

[179]  Pierre Lévy,et al.  Collective Intelligence: Mankind's Emerging World in Cyberspace , 1997 .

[180]  H. Frankfort Ancient Egyptian Religion an Interpretation , 1949 .

[181]  Ian Watts,et al.  The Human Symbolic Revolution: A Darwinian Account , 1995, Cambridge Archaeological Journal.

[182]  C. C. Bissell,et al.  The Role of A. A. Andronov in the Development of Russian Control Engineering , 2001 .

[183]  R M May,et al.  Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos , 1974, Science.

[184]  J. Campbell,et al.  By Force of Habit: A Consumption‐Based Explanation of Aggregate Stock Market Behavior , 1995, Journal of Political Economy.

[185]  John N. Warfield,et al.  World dynamics , 1973 .

[186]  A. Lovejoy,et al.  The Great Chain of Being. A Study of the History of an Idea. , 1936 .

[187]  J. Maderdrut,et al.  Spectrum and discriminant analyses reveal remote rather than local sources for hypothalamic EEG: could waves affect unit activity?. , 1973, Brain research.

[188]  Ralph Abraham,et al.  Computational Unfolding of Double-Cusp Models of Opinion Formation , 1991 .

[189]  R. Abraham,et al.  Vibrational Resonance and Cognitive Internalization , 2000 .

[190]  N. Rashevsky Contribution to the mathematical biophysics of visual perception with special reference to the theory of aesthetic values of geometrical patterns , 1938 .

[191]  E. D. Giorgi Selected Papers , 2006 .

[192]  Sisir Roy Statistical Geometry and Applications to Microphysics and Cosmology , 1998 .

[193]  D. R. Blumenthal Understanding Jewish Mysticism: A Source Reader : The Merkabah Tradition and the Zoharic Tradition , 1978 .

[194]  W. J. Hoffman PICTOGRAPHY AND SHAMANISTIC RITES OF THE OJIBWA , 1888 .

[195]  J. Sprott Chaos and time-series analysis , 2001 .

[196]  M. Requardt,et al.  (Quantum) spacetime as a statistical geometry of fuzzy lumps and the connection with random metric spaces , 2000, gr-qc/0011076.

[197]  Steve J. Heims,et al.  The Cybernetics Group , 1991 .

[198]  Robert Shaw,et al.  The Dripping Faucet As A Model Chaotic System , 1984 .

[199]  E. Rosch,et al.  The Embodied Mind: Cognitive Science and Human Experience , 1993 .

[200]  W. Thompson Transforming History: A Curriculum for Cultural Evolution , 2001 .

[201]  M. Jacob,et al.  Newton and the culture of Newtonianism , 1995 .

[202]  D. Black On the Rationale of Group Decision-making , 1948, Journal of Political Economy.

[203]  R. Penrose The emperor's new mind: concerning computers, minds, and the laws of physics , 1989 .

[204]  Victor J. Katz,et al.  A History of Mathematics: An Introduction , 1998 .

[205]  Yoshisuke Ueda,et al.  The chaos avant-garde : memories of the early days of chaos theory , 2001 .

[206]  G. Menzies 1421: The Year China Discovered America , 2002 .

[207]  Paul van Geert,et al.  A dynamic systems model of cognitive and language growth. , 1991 .

[208]  J. Mellaart Earliest Civilizations Of The Near East , 1965 .

[209]  E. O'Brien,et al.  The Essential Plotinus , 1964 .

[210]  C. Mira,et al.  Chaotic Dynamics: From the One-Dimensional Endomorphism to the Two-Dimensional Diffeomorphism , 1987 .

[211]  G. Christianson Tycho & Kepler: The Unlikely Partnership That Forever Changed Our Understanding of the Heavens , 2002 .

[212]  Max Jammer,et al.  Book Reviews: Concepts of Force. A Study in the Foundations of Dynamics , 1957 .

[213]  S. A. Nigosian Islam: The Way of Submission , 1987 .

[214]  R. Strassman DMT: The Spirit Molecule: A Doctor's Revolutionary Research into the Biology of Near-Death and Mystical Experiences , 2000 .

[215]  H. Gordon,et al.  The economic theory of a common-property resource: The fishery , 1954, Journal of Political Economy.

[216]  Amar Annus Divination and interpretation of signs in the ancient world , 2015 .

[217]  John Rae,et al.  Statement of Some New Principles on the Subject of Political Economy , 2009 .

[218]  M. Allen Marsilio Ficino and the Phaedran charioteer , 1981 .

[219]  Maurice A. Finocchiaro,et al.  The Discovery of Kepler's Laws: The Interaction of Science, Philosophy, and Religion , 1994 .

[220]  J. Keynes,et al.  The General Theory of Employment, Interest and Money. , 1936 .

[221]  Aristotle,et al.  Aristotle on man in the universe : metaphysics, parts of animals, ethics, politics, poetics , 1943 .

[222]  Dan Friedman,et al.  Morals and Markets: An Evolutionary Account of the Modern World , 2008 .

[223]  David Aubin,et al.  Writing the History of Dynamical Systems and Chaos: Longue Durée and Revolution, Disciplines and Cultures , 2002 .

[224]  Ralph Abraham,et al.  ORDER AND CHAOS IN THE TORAL LOGISTIC LATTICE , 1991 .

[225]  J. Mellaart The Neolithic of the Near East , 1976 .

[226]  G. Lochak,et al.  Dynamical Systems — A Renewal of Mechanism: Centennial of Georges David Birkhoff , 1986 .

[227]  J. Barrow-Green Poincare and the Three Body Problem , 1996 .

[228]  W. Meese The Broken Chain , 1941 .

[229]  Christian Mira,et al.  Chaos In Discrete Dynamical Systems , 1997 .

[230]  D. Valcarenghi Kilim: History and Symbols , 1994 .

[231]  Deborah J. Aks,et al.  Quantifying Aesthetic Preference for Chaotic Patterns , 1996 .

[232]  G. Hardin,et al.  The Tragedy of the Commons , 1968, Green Planet Blues.

[233]  J. Lewis-Williams The mind in the cave : consciousness and the origins of art , 2002 .

[234]  R. Lynn The Classic of Changes: A New Translation of the I Ching as Interpreted by Wang Bi , 1994 .

[235]  R. Abraham Macroscopy of resonance , 1976 .

[236]  Gerald Holton,et al.  Thematic Origins of Scientific Thought: Kepler to Einstein. , 1976 .

[237]  Richard Wilhelm,et al.  I Ching-Book of Changes , 2013 .

[238]  S. N. Kramer,et al.  The Sumerians: Their History, Culture, and Character , 1964 .

[239]  E. A. Burtt The Metaphysical Foundations of Modern Physical Science : A Historical and Critical Essay , 1925 .

[240]  A. R. Hall The power of invention , 1991, Nature.

[241]  S P Heims,et al.  Gregory Bateson and the mathematicians: from interdisciplinary interaction to societal functions. , 1977, Journal of the history of the behavioral sciences.

[242]  T. Kuhn,et al.  The Copernican Revolution: Planetary Astronomy in the Development of Western Thought , 1958 .

[243]  Ann Geneva Astrology and the Seventeenth Century Mind: William Lilly and the Language of the Stars , 1994 .

[244]  G. Leff,et al.  William of Ockham: The Metamorphosis of Scholastic Discourse , 1976 .

[245]  Nicolai Minorsky,et al.  Introduction to non-linear mechanics : topological methods, analytical methods, nonlinear resonance, relaxation oscillations , 1947 .

[246]  N. Mclachlan Theory and Application of Mathieu Functions , 1965 .

[247]  Mark J. Kurlansky,et al.  Cod: A Biography of the Fish that Changed the World , 1997 .

[248]  W. Guthrie,et al.  Orpheus and Greek Religion: A Study of the Orphic Movement , 1935 .

[249]  ca. Proclus,et al.  A commentary on the first book of Euclid's Elements , 1970 .

[250]  R. Abraham,et al.  Bubbles and crashes: Escape dynamics in financial markets , 2007 .

[251]  Herman H. Goldstine The Computer from Pascal to von Neumann , 1972 .

[252]  Rachel Carson The Edge of the Sea , 1955 .

[253]  J. Pfeiffer The Creative Explosion: An Inquiry into the Origins of Art and Religion , 1983 .

[254]  W. Thompson Coming into being : artifacts and texts in the evolution of consciousness , 1998 .

[255]  Mark J. Kurlansky 1968: The Year that Rocked the World , 2003 .

[256]  F. Mowat Sea of Slaughter , 1984 .

[257]  D. Friedman,et al.  Evolving Landscapes for Population Games , 1997 .

[258]  Morris Kline Mathematics and the Search for Knowledge , 1985 .

[259]  M. Harner Hallucinogens and Shamanism , 1997 .

[260]  R. Abraham,et al.  Dynamics--the geometry of behavior , 1983 .

[261]  Rachel Carson,et al.  From The Sense of Wonder , 1988, Landscape Journal.

[262]  J. Lovelock The Revenge of Gaia: Why the Earth Is Fighting Back - and How We Can Still Save Humanity , 2006 .

[263]  Duncan J. Watts,et al.  Six Degrees: The Science of a Connected Age , 2003 .

[264]  G. J. Cho The Discovery of Musical Equal Temperament in China and Europe in the Sixteenth Century , 2003 .

[265]  Richard J. Gillings Mathematics in the time of the pharaohs , 1972 .

[266]  J. Sprott Strange Attractors: Creating Patterns in Chaos , 1993 .

[267]  Paul Vincent Spade,et al.  The Cambridge Companion to Ockham , 1999 .

[268]  Scott B. Noegel Nocturnal Ciphers: The Allusive Language of Dreams in the Ancient Near East , 2007 .

[269]  Walter F. Friedlaender Mannerism and Anti-Mannerism in Italian Painting , 1957 .

[270]  Colin Burke,et al.  Information and Secrecy: Vannevar Bush, Ultra, and the Other Memex , 1994 .

[271]  Karl J. Narr,et al.  Approaches to the Religion of Early Paleolithic Man , 1964, History of Religions.

[272]  E. Ostrom,et al.  The Drama of the Commons , 2002 .

[273]  R. Hollingworth,et al.  Silent spring revisited , 1988 .

[274]  George D. Birkhoff,et al.  Structure Analysis of Surface Transformations , 2022 .

[275]  Richard P. Taylor,et al.  Fractal analysis of Pollock's drip paintings , 1999, Nature.

[276]  G. Coulton Inquisition and liberty , 1959 .

[277]  E. Bourke,et al.  The Pocket Aquinas , 1960 .

[278]  W. Lewis,et al.  Manias, Panics and Crashes: A History of Financial Crises , 1979 .

[279]  M. Graham The fish gate , 1943 .

[280]  E. Stone,et al.  Frequency entrainment of a phase coherent attractor , 1992 .

[281]  J. Corbett Man-Eaters of Kumaon , 1944 .

[282]  E. László The age of bifurcation : understanding the changing world , 1991 .