(Here we'll gather pointers to especially useful books on
subjects relevant to chaos and fractals, available in the W&L
Library)
AUTHOR Gleick, James.
TITLE Chaos : making a new science / James Gleick.
PUBLISHER New York, N.Y., U.S.A. : Viking, 1987.
SUBJECT Chaotic behavior in systems.
Science Library Q172.5.C45 G54 1987
AUTHOR Lewin, Roger.
TITLE Complexity : life at the edge of chaos
PUBLISHER New York : Macmillan Pub. Co. ; Toronto : Maxwell Macmillan
Canada ; New York : Maxwell Macmillan International, c1992.
SUBJECT Complexity (Philosophy)
Chaotic behavior in systems.
Science --Philosophy.
Leyburn Library B105.C473 L48 1992
TITLE Exploring chaos : a guide to the new science of disorder
PUBLISHER New York : W.W. Norton, 1993.
Science Library Q172.5.C45 E98 1993
AUTHOR Mandelbrot, Benoit B.
TITLE The fractal geometry of nature
PUBLISHER San Francisco : W.H. Freeman, c1982.
SUBJECT Geometry.
Mathematical models.
Stochastic processes.
Science Library QA447 .M357 1982
AUTHOR Kaye, Brian H. (Brian Howard), 1932-
TITLE Chaos & complexity : discovering the surprising patterns of
science and technology
PUBLISHER Weinheim ; New York : VCH, c1993.
SUBJECT Chaotic behavior in systems.
Fractals.
Computational complexity.
Technological complexity.
Science Library Q172.5.C45 K39 1993
AUTHOR Bassingthwaighte, James B.
TITLE Fractal physiology / James B. Bassingthwaighte, Larry S.
Liebovitch, Bruce J. West.
PUBLISHER New York : Published for the American Physiological Society by
Oxford University Press, 1994.
SERIES Methods in physiology series ; 2.
CONTENTS Introduction: fractals really are everywhere -- Fractals are
everywhere -- Structures in space -- Processes in time --
Meaning of fractals -- Properties of fractals and chaos --
Properties of fractal phenomena in space and time -- Self-
similarity: parts that look like the whole -- Scaling: the
measure depends on the resolution -- Fractal dimension: a
quantitative measure of self-similarity and scaling --
Surprising statistical properties of fractals -- Fractal
dimension: self-similar and self-accline scaling -- Branching
in the lung: power law scaling -- More complex scaling
relationship: weierstrass scaling -- Branching in the lung:
weierstrass scaling -- Fractal measures of heterogeneity and
correlation -- Dispersional analysis -- Rescaled range analysis
: the hurst exponent, H -- Correlation versus distance --
History of fractal correlation analysis -- Generating fractals
-- Mandelbrot set -- Line replacement rules -- Area and volume
replacement rules -- Logistic equation -- Iterated function
systems -- Collage theorem -- Lindenmayer systems -- Cellular
automata -- Cellular growth processes.
Generating one-dimensional fractal time series --
Properties of chaotic phenomena -- Fractals and chaos share
ideas and methods but they are not the same thing -- Defining
properties of chaos -- Additional features of chaos -- Change
in perspective -- From time to topology: is a process driven by
chance or necessity -- Distinguishing chaos from randomness --
Methods suggestive of underlying chaos -- Phase space and
pseudo-phase space -- Additional types of deterministic
relationships -- Capacity, correlation and information
dimensions -- Good news and bad news about this analysis --
Physiological applications -- Ion channel kinetics: a fractal
time sequence of conformational states -- Patch clamp -- Models
of ion channel kinetics -- Comparison of Markov and fractal
models -- Uncovering mechanisms giving fractal channel kinetics
-- Fractals in nerve and muscle -- Spread of excitation --
Fractal heart -- Fractal neurons -- Spatiotemporal organization
-- Intraorgan flow heterogeneities -- Methods of measuring
regional flows -- Estimating the fractal D for flow
heterogeneity.
Fractal vascular anatomy -- Dichotomous branching fractal
network models for flow heterogeneity -- Scaling relationships
within an organ -- Scaling relationships from animal to animal
-- Do fractal rules extend to microvascular units -- Fractal
flow and fractal washout -- Fractal growth -- Primitive growth
patterns -- Influences of matrix structure on the form -- More
general types of aggregation processes -- Neuronal growth
patterns -- Algorithms for vascular growth -- Patterns of
vascular branching -- Phylogeny versus ontogeny -- Mechanisms
that produce fractals -- Fractals describe phenomena and give
hints about their causes -- Single process or many processes --
Single causes that spread across many scales -- Different
causes that become linked across many scales -- Chaos in
physiological systems -- Cardiovascular chaos -- Metabolism --
Chaotic brain -- Physiological advantages of chaos -- Special
situations.
SUBJECT Chaotic behavior in systems.
Fractals.
Physiology --Mathematical models.
Biological systems --Mathematical models.
Science Library QP33.6.C48 B37 1994
AUTHOR Wiggins, Stephen.
TITLE Introduction to applied nonlinear dynamical systems and chaos
PUBLISHER New York : Springer-Verlag, c1990.
SUBJECT Differentiable dynamical systems.
Nonlinear theories.
Chaotic behavior in systems.
Science Library QA614.8 .W54 1990
AUTHOR Hayles, N. Katherine.
TITLE Chaos bound : orderly disorder in contemporary literature and
science
PUBLISHER Ithaca, N.Y. : Cornell University Press, 1990.
SUBJECT Literature, Modern --20th century --History and criticism.
Chaotic behavior in systems in literature.
Leyburn Library PN771 .H35 1990
TITLE Coping with chaos : analysis of chaotic data and the
exploitation of chaotic systems / [edited by] Edward Ott, Tim
Sauer, James A. Yorke.
PUBLISHER New York : J. Wiley, c1994.
SUBJECT Chaotic behavior in systems.
Numerical calculations.
Science Library Q172.5.C45 C67 1994
(a handy introduction to practical analysis, including a large number
of significant articles reprinted)
AUTHOR Goldbeter, A.
TITLE Biochemical oscillations and cellular rhythms : the molecular
bases of periodic and chaotic behaviour.
PUBLISHER Cambridge ; New York : Cambridge University Press, c1996.
Science Library QP84.6 .G6513 1996
AUTHOR Brown, Courtney, 1952-
TITLE Chaos and catastrophe theories / Courtney Brown.
PUBLISHER Thousand Oaks, Calif. : Sage Publications, c1995.
SUBJECT Chaotic behavior in systems.
Catastrophes (Mathematics)
Science Library Q172.5.C45 B76 1995
TITLE Chaos theory in the social sciences : foundations and
applications / edited by L. Douglas Kiel and Euel Elliott.
PUBLISHER Ann Arbor : University of Michigan Press, c1996.
SUBJECT Social sciences --Mathematical models.
Chaotic behavior in systems.
Leyburn Library H61.25 .C48 1996
AUTHOR Pahl-Wostl, Claudia.
TITLE The dynamic nature of ecosystems : chaos and order entwined /
Claudia Pahl-Wostl.
PUBLISHER Chichester ; New York : Wiley, c1995.
SUBJECT Biotic communities.
Ecology.
Science Library QH541 .P33 1995
TITLE Fractals in petroleum geology and earth processes / edited by
Christopher C. Barton and Paul R. La Pointe.
PUBLISHER New York : Plenum Press, c1995.
SUBJECT Petroleum --Geology --Mathematical models.
Fractals.
Science Library TN870.53 .F73 1995
TITLE Fractals in the earth sciences / edited by Christopher C.
Barton and Paul R. La Pointe.
PUBLISHER New York : Plenum Press, c1995.
SUBJECT Fractals.
Geology --Mathematics.
Science Library QE33.2.F73 F73 1995
AUTHOR Coveney, Peter (Peter V.)
TITLE Frontiers of complexity : the search for order in a chaotic
world
/ Peter Coveney and Roger Highfield ; foreword by Baruch
Blumberg.
PUBLISHER New York : Fawcett Columbine, 1995.
SUBJECT Chaotic behavior in systems.
Complexity (Philosophy)
Reductionism.
Science Library Q172.5.C45 C68 1995
AUTHOR Nicolis, G., 1939-
TITLE Introduction to nonlinear science / G. Nicolis.
PUBLISHER Cambridge ; New York : Cambridge University Press, 1995.
DESCRIPT xv, 254 p. : ill. ; 26 cm.
BIBLIOG. Includes bibliographical references (p. 239-250) and index.
CONTENTS Nonlinear behavior in the physical sciences and biology: some
typical examples -- Quantitative formulation -- Dynamical
systems with a finite number of degrees of freedom -- Linear
stability analysis of fixed points -- Nonlinear behavior
around fixed points: bifurcation analysis -- Spatially
distributed systems, broken symmetries, pattern formation
-- Chaotic dynamics.
SUBJECT Science.
Nonlinear theories
Science Library Q172 .N53 1995
AUTHOR Nettel, Stephen, 1938-
TITLE Wave physics : oscillations--solitons--chaos / Stephen Nettel.
PUBLISHER Berlin ; New York : Springer-Verlag, c1995.
SUBJECT Waves.
Wave mechanics.
Science Library QC157 .N48 1995