Ralph Abraham | Academic Influence

Ralph Abraham 's AcademicInfluence.com Rankings

Ralph Abraham

Mathematics

#451

World Rank

#891

Historical Rank

#203

USA Rank

Chaos Theory

#6

World Rank

#6

Historical Rank

#6

USA Rank

Topology

#36

World Rank

#55

Historical Rank

#16

USA Rank

Geometry

#58

World Rank

#101

Historical Rank

#18

USA Rank

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Mathematics

Ralph Abraham 's Degrees

Bachelors Mathematics Princeton University

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Why Is Ralph Abraham Influential?

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According to Wikipedia, Ralph Herman Abraham is an American mathematician. He has been a member of the faculty of the University of California, Santa Cruz since 1968. Life and work Abraham earned his BSE , MS and PhD from the University of Michigan. Prior to joining Santa Cruz, he held positions at the University of California, Berkeley , Columbia University and Princeton University . He has also held visiting positions in Amsterdam, Paris, Warwick, Barcelona, Basel, and Florence.

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Ralph Abraham 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Foundations Of Mechanics (2019) (2762)
Manifolds, Tensor Analysis, and Applications (1983) (1845)
Dynamics--the geometry of behavior (1983) (702)
Foundations of Mechanics, Second Edition (1987) (430)
Manifolds, tensor analysis, and applications: 2nd edition (1988) (423)
Transversal mappings and flows (2008) (274)
Foundations of Mechanics: 2nd Edition (1980) (191)
A Visual Introduction to Dynamical Systems Theory for Psychology (1990) (140)
Chaos In Discrete Dynamical Systems (1997) (104)
Transversality in manifolds of mappings (1963) (103)
The road to chaos (1992) (90)
Lectures of Smale on differential topology (1963) (80)
The chaos avant-garde : memories of the early days of chaos theory (2001) (79)
COMPLEX DYNAMICAL SYSTEMS (1984) (74)
A DOUBLE LOGISTIC MAP (1994) (61)
Chaos in Discrete Dynamical Systems: A Visual Introduction in 2 Dimensions (2013) (51)
Bubbles and crashes: Gradient dynamics in financial markets (2009) (46)
Dynamics and Self-Organization (1987) (44)
A chaotic blue sky catastrophe in forced relaxation oscillations (1986) (41)
Computational Unfolding of Double-Cusp Models of Opinion Formation (1991) (36)
The Genesis of Complexity (2011) (33)
ORDER AND CHAOS IN THE TORAL LOGISTIC LATTICE (1991) (31)
Chaos, Gaia, Eros: A Chaos Pioneer Uncovers the Three Great Streams of History (1994) (29)
Complex dynamics and the social sciences (1987) (28)
Macroscopy of resonance (1976) (27)
Mathematics and evolution: A manifesto (1987) (27)
Foundations of mechanics : a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem (1978) (24)
Hamiltonian systems with symmetry (2008) (23)
Economics and the Environment: Global Erodynamic Models (1993) (23)
Webometry: Measuring the complexity of the world wide web (1997) (23)
Vibrational Resonance and Cognitive Internalization (2000) (22)
Chaos, Creativity, and Cosmic Consciousness (2001) (21)
THE PLANCK SCALE AND AGENT BASED SIMULATIONS OF QUANTUM SPACETIME (2007) (20)
Mathematics and the Psychedelic Revolution (2008) (20)
Nonlinear Resonance in Basin Portraits of Two Coupled Swings Under Periodic Forcing (1998) (20)
The Aesthetics and Fractal Dimension of Electric Sheep (2008) (15)
Bubbles and crashes: Escape dynamics in financial markets (2007) (14)
Hamiltonian mechanics on Lie groups and hydrodynamics (1970) (14)
Bolts from the Blue: Art, Mathematics, and Cultural Evolution (2011) (13)
A Digital Solution to the Mind/Body Problem (2012) (13)
Human Fractals: The Arabesque in Our Mind (1993) (12)
Image Entropy for Discrete Dynamical Systems (2013) (11)
The peregrinations of Poincaré (2013) (10)
A New Horizon for Barreling Compression Test: Exponential Profile Modeling (2017) (10)
Emergent Periodicity in a Field of Chaos (2015) (10)
Dynamical models for physiology. (1983) (10)
DYNASIM. EXPLORATORY RESEARCH IN BIFURCATIONS USING INTERACTIVE COMPUTER GRAPHICS (1979) (8)
The evolutionary mind : trialogues at the edge of the unthinkable (1998) (8)
PHASE REGULATION OF COUPLED OSCILLATORS AND CHAOS (1991) (8)
Attractor and Basin Portraits of a Double Swing Power System (2004) (8)
The misuse of mathematics (2009) (7)
Mathematics and mysticism. (2015) (7)
Simulation of cascades by video feedback (1976) (7)
Fractals, chaos, power laws: Minutes from an infinite paradise: Manfred Schroeder, (W.H. Freeman, New York, NY, 1991) $32.95, 429 pp (1994) (6)
Some elements for a history of the dynamical systems theory. (2021) (6)
Abraham and Garfinkel , Sync Rev 4 of 1 2 / 2 1 / 0 3 1 The Dynamics of Synchronization and Phase Regulation (2003) (5)
An Album of Fluid Motion and Dynamics—The Geometry of Behavior; Part I: Periodic Behavior (1983) (4)
The Chaos Revolution: A Personal View (2000) (4)
Chaostrophes, Intermittency, and Noise (2020) (4)
Commentaries on "Darwin’s Lost Theory: Bridge to a Better World" (2022) (4)
Agent‐Based Modeling of Growth Processes (2014) (4)
Basin Configuration of a Six-Dimensional Model of an Electric Power System (2002) (3)
In Pursuit of Birkhoff's Chaotic Attractor (1985) (3)
A Review of “Geochemistry and the Biosphere: Essays by Vladimir I. Vernadsky” (2009) (3)
Implications of The Chalice and the Blade for theories of social dynamics and history (1988) (3)
Chaotic Synchronization and the Global Economy (2013) (3)
The New Sacred Math (2006) (3)
Dynamics for communications data. (1992) (3)
Complex Dynamical Systems and the Social Sciences (2007) (3)
Bifurcations and Chaos in Forced van Der Pol Systems (1985) (3)
Complex Dynamical Systems Theory: Historical Origins, Contemporary Applications (2019) (2)
Banach Spaces and Differential Calculus (1988) (2)
Mysticism in the history of mathematics. (2017) (2)
Visual math: a fantasy for the future of education (1980) (2)
CORTISIM: A complex dynamical model of the cortisol regulation system (1986) (2)
Sustainability through the Dynamics of Strategic Dilemmas in the light of the coherence and visual form of the Mandelbrot set (2022) (1)
Is There Chaos Without Noise? (2020) (1)
Recent Progress in Dynamical Systems Theory (2009) (1)
Chaotic Synchronization in Economic Networks (2017) (1)
Bubblesandcrashes:Gradientdynamicsinï¬ nancial markets (2008) (1)
Political weather reports (1989) (1)
Phase Plots of Temporal Oscillations (1992) (1)
Encounter with Chaos (J. Peinke, J. Parisi, O. E. Rössler, and R. Stoop) (1994) (1)
Mathematical Perception (2015) (1)
Chaostrophes of Forced Van der Pol Systems (2020) (1)
A Review of “The Science of Leonardo: Inside the Mind of the Great Genius of the Renaissance by Fritjof Capra” (2009) (0)
Vector Fields and Dynamical Systems (1988) (0)
Book-Review - Dynamics - the Geometry of Behavior (1990) (0)
Cyberspace and the Ecotopian dream (2000) (0)
Appendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov (2008) (0)
The Outstructure of the Lorenz Attractor (2020) (0)
Integration on Manifolds (1988) (0)
Bubbles and Crashes: a Cyborg Approach (2008) (0)
Landscape Dynamics , Complex Dynamics , and Agent Based Models (2004) (0)
Buchbesprechungen über: Foundations of Mechanics. The Mathematical Physics Monograph Series. (Ref. J. SCHUBART) (1967) (0)
The Legacies of David Loye: The General Evolution Research Group, Partnership, Chaos, Darwin, and Action Research (2022) (0)
The bifurcation of the !Kung (1997) (0)
Basic Concepts in 2D (1997) (0)
A Two-Worlds Model for Consciousness (2000) (0)
Motor vehicle with Pack assistance function (2013) (0)
Hamilton-Jacobi theory and mathematical physics (2008) (0)
Commentary on "The Representation of Dynamics in Imagery and Multiple Dimensions" (1989) (0)
Chaotic resonance patterns in excitable media (1990) (0)
A Stairway to Chaos (1998) (0)
The three-body problem (2008) (0)
INDEX TO ILLUSTRATIONS (1949) (0)
Foundations of Mechanics; Mathematical Methods of Classical Mechanics; and Classical Dynamical Systems (1980) (0)
A Visual Approach to Nonlinear Dynamics: Just Cartoons or a Serious Pedagogical Device? (2016) (0)
Bubblesandcrashes:Gradientdynamicsinﬁnancial markets (2008) (0)
Review: Serge Lang, Introduction to differentiable manifolds (1964) (0)
Bubbles and Crashes: a Simulation Approach (2008) (0)
The Atomistic Revival (2012) (0)
Hamiltonian and Lagrangian systems (2008) (0)
Calculus on manifolds (2008) (0)
The two-body problem (2008) (0)
Chaos and the Monarch Butterfly (1999) (0)
Marshall Space Flight Center's role in the Space Station Freedom program (1992) (0)
Dynamic models for thought (1985) (0)
The Hexagrams of the Moon (2003) (0)
Manifolds and Vector Bundles (1988) (0)
Chaos and Intermittency in an Endocrine System Model (2020) (0)
Basic Concepts in 1D (1997) (0)
Chaotic Contact Bifurcations (1997) (0)
Complex dynamical models (1991) (0)
The Emergence of Spacetime from the Akasha (2011) (0)

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