Articles by Ralph Abraham


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    Titles: A chronological list

    MS#01. Discontinuities in General Relativity, 1960
    MS#02. The Sound Speeds of a Charged Fluid, 1960 [Data]
    MS#03. Foundations of General Relativity, 1961
    MS#04. Piecewise Differentiable Manifolds and the Space-Time of General Relativity, 1962 [Data]
    MS#05. Transversality in Manifolds of Mappings, 1962 [Data]
    MS#06. Lectures of Smale on Differential Topology, 1963 [Data]
    MS#07. Bumpy Metrics, 1967 [Data]
    MS#08. Nongenericity of Omega-Stability, 1968 [Data]
    MS#09. Hamiltonian Mechanics on Lie Groups and Hydrodynamics, 1968 [Data]
    MS#10. Predictions for the Future of Differential Equations, 1971 [Data]
    MS#11. Hamiltonian Catastrophes, 1972 [Data]
    MS#12. Introduction to Morphology, 1972 [Data]
    MS#13. Hamiltonian bifurcations, 1973
    MS#14. Psychotronic Vibrations, 1973 [Data]
    MS#14A. Optimal Betting for Time-Dependent Games, 1974
    MS#15. Vibrations and the Realization of Form, 1975 [Data]
    MS#15A. Macrodynamics and Morphogenesis, 1975 [Data]
    MS#16. Macroscopy of Resonance, 1974 [Data]
    MS#17. Simulation of Cascades by Video Feedback, 1974 [Data]
    MS#18. Dynasim: Exploratory Research in Bifurcations
    Using Interactive Computer Graphics, 1974 [Data]
    MS#19. Visual Math: A Fantacy for the Future of Education, 1979 [Data]
    MS#20. The Function of Mathematics in the Evolution of the Noosphere, 1980 [Data]
    MS#21. Dynamics: Visual Introduction, 1983 [Data]
    MS#22. Dynamics and Self-Organization, 1985 [Data]
    MS#23. Categories of Dynamical Models, 1983 [Data]
    MS#24A. Dynamical Models for Physiology, 1982 [Data]
    MS#25. Dynamic Models for Thought, 1985 [Data]
    MS#26. Chaostrophes, Intermittency, and Noise, 1981 [Data]
    MS#27. Chaos and Intermittency in an Endocrine System Model, 1981 [Data]
    MS#28. The Outstructure of the Lorenz Attractor, 1981 [Data]
    MS#28A. Bifurcations in Dynamical Systems, 1981 [Data]
    MS#29. Complex Dynamical Systems, 1983 [Data]
    MS#30. Is There Chaos Without Noise? 1984 [Data]
    MS#31. Chaostrophes of Forced Van der Pol Systems, 1984 [Data]
    MS#32. Orbital Plots of Dynamical Processes: application to a circadian oscillator model, 1983
    MS#33. CORTISIM: a complex dynamical model of the cortisol regulation system, 1986
    MS#34. ENDOSIM: a progress report, 1986
    MS#35. In Pursuit of Birkhoff's Chaotic Attractor, 1986 [Data]
    MS#36. Bifurcations and Chaos in Forced Van der Pol Systems, 1983 [Data]
    MS#37. Phase Regulation of Coupled Oscillators and Chaos, 1984 [Data]
    MS#38. A Chaotic Blue Sky Catastrophe in Forced Relaxation Oscillations, 1985 [Data]
    MS#39. Cellular Dynamical Systems, 1986 [Data]
    MS#40. Complex Dynamics and the Social Sciences, 1985 [Data]
    MS#40A. Complex Dynamical Systems Theory:
    Historical Origins, Contemporary Applications, 1985 [Data]
    MS#41. Mathematics and Evolution: A Manifesto, 1986 [Data]
    MS#42. Vibrations in Math, Music, and Mysticism, 1985 [Data]
    MS#43. Mathematics and Evolution: A Proposal, 1986 [Data]
    MS#43A. Mathematical Hermeneutics, 1986 [Data]
    MS#43B. Bollettini del tempo politico, 1986 [Data]
    MS#43C. Political Weather Reports, 1986 [Data]
    MS#44. Mechanics of Resonance, 1986 [Data]
    MS#45. Dynamics from Communications Data, 1988 [Data]
    MS#46. Chaos in Myth and Science, 1988 [Data]
    MS#46A. Roots of Chaos, Annals of the Earth, 1989 [Data]
    MS#47. Visual Musical Instruments and Chaos, 1988 [Data]
    MS#47A. Comment on a Paper by Arun Holden, 1989
    MS#48. Complex Dynamical Models, 1988 [Data]
    MS#49. Social and International Synergy, 1989 [Data]
    MS#49A. Social Synergy and Cognitive Maps, 1989
    MS#50. Cuspoidal Nets, 1990 [Data]
    MS#50A. Cuspoidal Nets, 1991
    MS#51. Myths within Science, 1989 [Data]
    MS#51A. Myths within Science, 1990
    MS#52. Order and Chaos in the Toral Logistic Lattice, 1990 [Data]
    MS#53. Communicative Chess, 1989 [Data]
    MS#54. The double cusp, 1989 [Data]
    MS#55. Orphism: The Ancient Roots of Green Buddhism, 1990 [Data]
    MS#56. Chaos and Life, 1990 [Data]
    MS#56A. Chaos and Life, Interview, 1990 [Data]
    MS#56B. Chaos in Life, International Synergy, 1990
    MS#57. Concepts of Dynamical Systems Theory, 1990 [Data]
    MS#58. Visualization Techniques for Cellular Dynamata, 1990 [Data]
    MS#59. Erodynamics, 1990 [Data]
    MS#60A. Erodynamics and Cognitive Maps, 1990 [Data]
    MS#61. Basic Principles of Dynamical Systems, 1990 [Data]
    MS#62. Mathematical Cooperation, 1990 [Data]
    MS#62A. Mathematical Cooperation, 1991 [Data]
    MS#63. Cellular Dynamata and Morphogenesis, 1992 [Data]
    MS#64. Cellular Dynamata, 1991 [Data]
    MS#65. Economics and the Environment, 1992 [Data]
    MS#66. Endomorphogenesis: Brusselator simulations in review, 1992 (unfinished)
    MS#67. Dynamics and Time, 1992 [Data]
    MS#68. North-South trade and the dynamics of the environment, 1994 [Data]
    MS#69. Twisted Double Logistic Map, 1994 [Data]
    MS#69A. About a Map of Coupled Oscillators, 1992
    MS#70. Book Review: Manfred Schroeder, Power Laws, 1993 [Data]
    MS#71. Experimental Mechanics: the First Forty Years, 1992 [Data]
    MS#72. Cathedral Dreams, 1992 [Data]
    MS#73. Human Fractals: the Arabesque in Our Mind, 1992 [Data]
    MS#74. Endomorphisms and Visualization, 1992 [Data]
    MS#75. MIMI and the Illuminati, 1993 [Data]
    MS#76. Erodynamics and the Dischaotic Personality, 1995 [Data]
    MS#77. Of Angels, extraterrestrials, lost continents, and other strange attractors, 1993.
    MS#78. Peak Load Prediction in an Electrical Power System, 1994 [Data]
    MS#78A. Predicting Outage and Containing Chaos in a Power Grid, 1994 [Data]
    MS#79. A Quadratic Endomorphism Model for the Italian Economy, 1993 (unfinished)
    MS#80. The Electronic Rose Window, 1993 [Data]
    MS#81. Educational Hypermedia and the World-Wide Web, 1994 [Data]
    MS#82. The Canon of Lespugue, 1994 [Data]
    MS#83. The Bifurcation of the !Kung, 1995 [Data]
    MS#84. A salt marsh model, 1996 (Unfinished)
    MS#85. Webometry: measuring the compexity of the World Wide Web, 1996 [Data]
    MS#86. Vibrations: communication through a morphic field, 1996 [Data]
    MS#86B. Vibrations: communication through a morphic field, Pt 2, 1997 [Data]
    Video for MS# 86 and 86B 20 minutes, 200 MB
    MS#87. Social interventions and the World Wide Web [Data]
    MS#88. Webometry: mesauring the synergy of the World Wide Web, 1996 [Data]
    MS#89. Webometry: chronotopography of the World Wide Web, 1996 [Data]
    MS#90. A bridge between Whitney's fold and cusp points and
    the critical curves LC-1 and LC in two-dimensional endomorphisms, 1996 [Data]
    MS#91. Endosingularities, 1996 [Data]
    MS#92. Chaos and the Millennium, 1996 [Data]
    MS#93. The Geometry of Angels, 1997 [Data]
    MS#94. The Mathematics of Chaos and the Urban Revolution, 1996 [Data]
    MS#95. The Chaos Revolution: A Personal View, 1998 [Data]
    MS#96. The Origin of Algebra, 1998 [Data]
    MS#97. A Stairway to Chaos, 1998 [Data]
    MS#98. Complex Dynamical Systems, 1998 [Data]
    MS#99. Thrice Upon a Time, 1998 [Data]
    MS#100. Cyberspace and the Ecotopian Dream, 1998 [Data]
    MS#101. Nonlinear Resonance in Basin Portraits of Two Coupled Swings
    under Periodic Forcing, 1997 [Data]
    MS#102. An Old Math Program, 1999 [Data]
    MS#103. Chaos and the Monarch Butterfly, 1999 [Data]
    MS#103A. The Chaos and Fractals of Paris, 1999 [Data]
    MS#104. The Hexagrams of the Moon, 2000 [Data]
    MS#105. Vibrational Resonance and Cognitive Internalization, 2000 [Data]
    MS#106. A Two Worlds Model for Consciousness, 2000 [Data]
    MS#107. Galileo's Leap into the Future, 2000 [Data]
    MS#108. The Genesis of Complexity, 2002 [Data]
    MS#109. Basin Configuration of a Six-dimensional Model of
    an Electric Power System, 2000 [Data]
    MS#110. Neural Networks for Economic Prediction, 2003 [Data]
    MS#111. The Dynamics of Synchronization and Phase Regulation, 2003 [Data]
    MS#112. Attractor and Basin Portraits of a Double Swing Power System, 2002 [Data]
    MS#113. Basic Sets and Attractors of a Double Swing Power System, 2003 [Data]
    MS#114. Landscape Dynamics and Conspicuous Consumption, 2004 [Data]
    MS#115. Landscape Dynamics, Complex Dynamics, and Agent Based Models, 2005 [Data]
    MS#115A. Emerging 4D Graphics for Math and Science Education, 2005 [Data]
    MS#116. The Death and Rebirth of the World Soul, 2500 BCE -- 2005 CE,
    A Concise Overview, 2005 [Data]
    MS#116A. The New Sacred Math, 2004 [Data]
    MS#117. The Broken Chain, 2005 [Data]
    MS#117A. The Broken Chain, 2005 [Data]
    MS#118. Vibrations and Forms, 2006 [Data]
    MS#119. Planck Scale and Agent Based Simulations of Quantum Spacetime, 2006 [Data]
    MS#120. The Aesthetics and Fractal Dimension of Electric Sheep, 2006 [Data]
    MS#121. Bubbles and Crashes: Gradient Dynamics in Financial Markets, 2005 [Data]
    MS#122. A Digital Solution to the Mind/Body Problem, 2007 [Data]
    MS#123. Complex Dynamical Systems and the Social Sciences, 2007 [Data]
    MS#124. Mathematics and the Psychedelic Revolution, 2008 [Data]
    MS#125. Bubbles and Crashes: a Cyborg Approach, 2008 [Data]
    MS#126. The Trouble with Math, 2008 [Data]
    MS#127. The Misuse of Math, 2008 [Data]
    MS#128. Consciousness and the New Math, 2008 [Data]
    MS#129. Recent Progress in Dynamical Systems Theory, 2009 [Data]
    MS#130. Galileo's Father, 2010 [Data]
    MS#131. The Paleolithic Birth of Geometric Thinking, 2011 [Data]
    MS#132. Geometry of the Early Neolithic, 2011 [Data]
    MS#133. Image Entropy for Discrete Dynamical Systems, 2011 [Data]
    MS#134. The Emergence of Spacetime from the Akasha, 2011 [Data]
    MS#134B. The Atomistic Revival, 2011 [Data]
    MS#135. Shamanism and Noh, 2012 [Data]
    MS#136. The Peregrinations of Poincare, 2012 [Data]
    MS#137. The Ancient Orient, 2013 [Data]
    MS#138. Chaotic Synchronization and the Global Economy, 2013 [Data]
    MS#139. Agent Based Modeling of Growth Processes, 2013 [Data]
    MS#140. Chaotic Synchronization in Economic Networks, 2013 [Data]
    MS#141. Emergent Periodicity in a Field of Chaos, 2014 [Data]
    MS#142. Chaos Theory and the Tragedy of the Commons, 2014 [Data]
    MS#143. The Emergence of Geometric Thinking, 2014 [Data]
    MS#144. Mathematics and Mysticism, 2015 [Data]
    MS#145. The Alhambra Theorem, 2015 [Data]
    MS#146. Mysticism in the History of Mathematics, 2015 [Data]
    MS#147. Mathematical Perception, 2015 [Data]
    MS#148. Entheogens in the Himalayan Foothills, 2015 [Data]
    MS#149. The Homeric and Vedic Convergence, 2016 [Data]
    MS#150. Hip Santa Cruz and the chaos revolution, 2016 [Data]
    MS#151. Theosophy and the Arts, 2017 [Data]
    MS#152. Chaos Math, Brain Science, and Mind Philosophy, 2017 [Data]
    MS#153. UCSC Math, the Early Years, 2017 [Data]
    MS#154. My Miracle Year, 1968, 2017 [Data]
    MS#155. Vibrations and Spiritual Communication, 2018 [Data]
    MS#156. Kepler's Music --- a Computer Simulation, 2019 [Data]
    MS#157. Some Elements for a History of the Dynamical Systems Theory, 2020 [Data]
    MS#158. Psychedelic Information Theory, 2020 [Data]
    MS#159. Schismogenesis, 2020 [Data]
    MS#160. My Time with Ralph Metzner, 2020 [Data]
    MS#161. Five Legacies of David Loye, 2022 [Data]
    MS#162. Meeting Hans Jenny, 2023 [Data]
    MS#163. Chaos Theory, and the End of Time, 2023 [Data]
    MS#164. Consciousness and AI, 2023 [Data]
    MS#165. The WWW and Existential Threats, 2023 [Data]
    MS#166. From Myth to Math: Chaos and Consciousness, 2023 [Data]
    MS#167. The Dynamics of Synchronization and Phase Regulation, 2023 [Data]

    Last revised by Ralph Abraham