Chaos
and Time-Series Analysis (Oxford
University Press: Oxford, 2003) Q172.5 C45 S67 2003, ISBN
0-19-850839-5
(hard cover) 0-19-850840-9 (paperback)
Physics
Demonstrations: A Sourcebook for Teachers of Physics (University
of Wisconsin Press: Madison, 2006) QC30 S67 2006, ISBN
0-299-21580-6 Images of a Complex
World: The Art and
Poetry of Chaos (World
Scientific: Singapore 2005) QA845 C46 2005, ISBN 981-256-400-4
(hard
cover)
981-256-401-2 (paperback) Chaos
and Time-Series Analysis (Oxford
University Press: Oxford, 2003) Q172.5 C45 S67 2003, ISBN
0-19-850839-5
(hard cover) 0-19-850840-9 (paperback)
Strange
Attractors: Creating Patterns in Chaos (M&T
Books: New York, 1993) QA614.86 S67 1993, ISBN 1-55851-298-5 (out
of
print,
but the manuscript is available in
HTML,
PDF, and Microsoft Word format)
Numerical
Recipes: Routines and Examples in BASIC (Cambridge
University Press: New York, 1991) QA297 S68 1991, ISBN
0-521-40688-9
Introduction
to Modern Electronics (John
Wiley
& Sons: New York, 1981) TK7815 S72, ISBN 0-471-05840-8 (out of
print)
On the Robustness of Chaos in Dynamical
Systems: Theories and Applications (with Z. Elhadj), Front. Phys.
China 3, 195-204 (2008). Biophilic Fractals and the Visual Journey of
Organic Screen-Savers (with R. P. Taylor), Nonlinear Dynamics,
Psychology, and Life Sciences 12,
117-129 (2008). Maximally Complex Simple Attractors,
Chaos 17, 033124-1 - 033128-6
(2007). A Two-dimensional Discrete Mapping with C-infinity
Multifold Chaotic Attractors (with Z. Elhadj), Electronic Journal
of Theoretical Physics 17,
111-124 (2008) Hyperlabyrinth Chaos: From Chaotic Walks to
Spatiotemporal Chaos (with K. E. Chlouverakis), Chaos 17, 023110-1 - 023110-8 (2007). A Simple Chaotic Delay Differential Equation,
Phys. Lett. A. 366,
397-402
(2007). Labyrinth Chaos (with K. E.
Chlouverakis), International Journal of Bifurcation and Chaos 17, 2097-2108 (2007). Probability of Local Bifurcation Type from a
Fixed Point: A Random Matrix Perspective (with D. J. Albers),
Journal of Statistical Physics 125,
889-925 (2006) High-Dimensional Dynamics in the Delayed
Henon Map, Electronic Journal of Theoretical Physics 3, 19-35 (2006) Chaotic Hyperjerk Systems (with K. E.
Chlouverakis), Chaos, Solitons & Fractals 28, 739-746 (2005) Complex Spatiotemporal Dynamics in
Lotka-Volterra Ring Systems (with J. C. Wildenberg and J. A. Vano),
Ecological Complexity 3,
140-147 (2006) A Simple Spatiotemporal Chaotic
Lotka-Volterra Model (with J. C. Wildenberg and Y. Azizi), Chaos,
Solitons & Fractals 26,
1035-1043 (2005) Coexistence and Chaos in Complex Ecologies
(with J. A. Vano, J. C. Wildenberg, M. B. Anderson, and J. K. Noel),
Phys. Lett. A 335, 207-212
(2005) Routes to Chaos in High-Dimensional
Dynamical Systems: A Qualitative Numerical Study (with D. J.
Albers), Physica D 223,
194-207 (2006) Substance
Abuse as a Dynamical Disease: Evidence and Clinical Implications of
Nonlinearity
in a Time Series of Daily Alcohol Consumption (with K. Warren and
R.
C. Hawkins), Addictive Behaviors 28, 369-374 (2003) A Comparison of Correlation and Lyapunov
Dimensions (with K. E. Chlouverakis), Physica D 200, 156-164 (2004) Chaos in Low-Dimensional Lotka-Volterra
Models of Competition (with J. A. Vano, J. C. Wildenberg, M. B.
Anderson, and J. K. Noel), Nonlinearity 19, 2391-2404 (2006) Structural Stability and Hyperbolicity
Violation
in High-Dimensional Dynamical Systems (with D. J. Albers),
Nonlinearity 19, 1801-1847
(2006) Persistent Chaos in High Dimensions (with
D. J. Albers and J. P. Crutchfield), Phys. Rev. E 74, 057201-1 -
057201-4 (2006) Competition
with Evolution in Ecology and Finance, Phys. Lett. A. 325,
329-333
(2004)
Dynamical
Models of Happiness, Nonlinear Dynamics, Psychology, and Life
Sciences
9,
23-36 (2005)
Precision
Measurements of a Simple Chaotic Circuit (with K. Kiers and D.
Schmidt),
Am. J. Phys. 72, 503-509 (2004)
Can
a Monkey with a Computer Create Art?, Nonlinear Dynamics,
Psychology,
and Life Sciences 8, 103-114 (2004)
Dynamical
Models of Love, Nonlinear Dynamics, Psychology, and Life Sciences 8,
303-314 (2004)
A
Method for Approximating Missing Data in Spatial Patterns, Comput.
& Graphics 28, 113-117 (2004)
Chaos
in Fractional-order Autonomous Nonlinear Systems (with W. M.
Ahmad),
Chaos, Solitons and Fractals 16, 339-351 (2003)
Chaos in a Nonlinear Analog Computer
(with K. Kiers, T. Klein, J. Kolb, and S. Price), International Journal
of Bifurcation and Chaos 14,
2867-2873 (2004)
Comment
on "A New Class of Exact Solutions of the Vlasov Equation" (with G.
Rowlands), Phys. Plasmas 9, 4093-4094 (2002)
Self-organized
Criticality and Complexity in Historical Landscape Patterns (with
J.
Bolliger and D. J. Mladenoff), OIKOS 100, 541-553 (2003)
The
Spirit Is Willing: Nonlinearity, Bifurcations, and Mental Control
(with
K. Warren and R. C. Hawkins), Nonlinear Dynamics, Psychology, and Life
Sciences 6, 55-70 (2002)
Self-organized
Criticality in Forest-landscape Evolution (with J. Bolliger and D.
J. Mladenoff), Phys. Lett. A 297, 267-271 (2002)
Simplest
Driven Conservative Chaotic Oscillator (with H. P. W. Gottlieb),
Phys.
Lett. A 291, 385-388 (2001)
On
the Synchronization of a Class of Electronic Circuits that Exhibit Chaos
(with E. Bai and K. Lonngren), Chaos, Solitons and Fractals 13,
1515-1521 (2002)
The
Role of Depth and 1/f Dynamics in Perceiving Reversible Figures
(with D. J. Aks), Nonlinear Dynamics, Psychology, and Life Sciences 7,
161-180 (2003)
Improved
Correlation Dimension Calculation (with G. Rowlands), International
Journal of Bifurcation and Chaos 11, 1865-1880 (2001)
Chaos
and
the Limits of Predictability for the Solar-wind-driven
Magnetosphere-ionosphere
System (with W. Horton and R. S. Weigel), Phys. Plasmas 8,
2946-2952
(2001)
Algebraically
Simple Chaotic Flows (with S. J. Linz), Int. J. Chaos Theory and
Appl.
5,
3-22 (2000)
Memory
Across Eye-Movements: 1/f Dynamic in Visual Search (with D.
J. Aks and G. J. Zelinsky), Nonlinear Dynamics, Psychology, and Life
Sciences
6,
1-25 (2002)
Simple
Chaotic Systems and Circuits, Am. J. Phys. 68, 758-763
(2000)
A New
Class
of Chaotic Circuit, Phys. Lett. A 266, 19-23 (2000)
Elementary
Chaotic Flow (with S. J. Linz), Phys. Lett. A 259, 240-245
(1999)
Controlling
Chaos in a High Dimensional System with Periodic Parametric
Perturbations
(with K. A. Mirus), Phys. Lett. A 254,
275-278 (1999)
Controlling
Chaos in Low- and High-dimensional Systems with Periodic Parametric
Perturbations
(with K. A. Mirus), Phys. Rev. E 59, 5313-5324 (1999)
Routes
to Chaos in Neural Networks with Random Weights (with D. J. Albers
and W. D. Dechert), International Journal of Bifurcation and Chaos 8,
1463-1478 (1998)
Artificial
Neural Net Attractors, Comput. & Graphics 22, 143-149
(1998)
Scientific
Visualization in Mathematics and Physics (with C. A. Pickover), ACM
Interaction 4, 78-79 (1997)
Some
Simple Chaotic Jerk Functions, Am. J. Phys. 65, 537-543
(1997)
Simplest
Dissipative Chaotic Flow, Phys. Lett. A 228, 271-274 (1997)
Dynamical
Behavior of Artificial Neural Networks with Random Weights (with D.
J. Albers and W. D. Dechert), in "Intelligent Engineering Systems
Through
Artificial Neural Networks", Volume 6, C. H. Dagli, M. Akay, C. L. P.
Chen,
B. R. Fernandez, and J. Ghosh, ed., ASME Press: New York (1996), pp.
17-22
On the
Probability of Chaos in Large Dynamical Systems: A Monte Carlo Study
(with W. D. Dechert and D. J. Albers), Journal of Economic Dynamics
&
Control 23, 1197-1206 (1999)
Strange
Attractor Symmetric Icons, Comput. & Graphics 20,
325-332
(1996)
Transport
Reduction by Current Profile control in the Reversed Field Pinch
(with
J. S. Sarff, A. F. Almagri, M. Cekic, C.-S. Chaing, D. Craig, D. J. Den
Hartog, G. Fiksel, S. A. Hokin, R. W. Harvey, H. Ji, C. Litwin, S. C.
Prager,
D. Sinitsyn, C. R. Sovinec, and E. Uchimoto), Phys. Plasmas 2,
2440-2446
(1995)
Quantifying
Aesthetic Preference for Chaotic Patterns (with Deborah J. Aks),
Empirical
Studies of the Arts 14, 1-16 (1996)
Quantification
of Determinism in Music using Iterated Function Systems (with Brian
Meloon), Empirical Studies of the Arts 15, 3-13 (1997)
Automatic
Generation of General Quadratic Map Basins (with Clifford A.
Pickover),
Comput. & Graphics 19, 309-313 (1995)
Some
Simple
Chaotic Flows, Phys. Rev. E 50, R647-R650 (1994)
The
Computer
Artist and Art Critic, in "Fractal Horizons: The Future Use of
Fractals",
Clifford A. Pickover, ed., St. Martin's Press: New York (1996), pp.
77-115
Automatic
Generation of Iterated Function Systems, Comput. & Graphics 18,
417-425 (1994)
Chaos
in
Reversed-field-pinch Plasma Simulation and Experiment (with
Christopher
Watts and D. E. Newman), Phys. Rev. E 49, 2291-2301 (1994)
Predicting
the Dimension of Strange Attractors, Phys. Lett. A 192,
355-360
(1994)
Turbulent
Transport in the Madison Symmetric Torus Reversed-field Pinch (with
T. D. Rempel, A. F. Almagri, S. Assadi, D. J. Den Hartog, S. A. Hokin,
S. C. Prager, J. S. Sarff, W. Shen, K. L. Sidikman, C. W. Spragins, M.
R. Stoneking, and E. J. Zita), Phys. Fluids B 4, 2136-2141
(1992)
Automatic
Generation of Strange Attractors, Comput. & Graphics 17,
325-332 (1993)
How
Common
is Chaos?, Phys. Lett. A 173, 21-24 (1993)
Global
Confinement an Discrete Dynamo Activity in the MST Reversed-field Pinch
(with S. Hokin, A. Almagri, S. Assadi, J. Beckstead, G. Chartas, N.
Crocker,
M. Cudzinovic, D. Den Hartog, R. Dexter, D. Holly, S. Prager, T.
Rempel,
J. Sarff, E. Scime, W. Shen, C. Spragins, G. Starr, M. Stoneking, C.
Watts
and R. Nebel), Phys. Fluids B 3, 2241-2246 (1991)
Extraction
of Dynamical Equations from Chaotic Data (with G. Rowlands),
Physica
D 58, 251-259 (1992)
Modified
Polynomial Function Model for Reversed-field Pinches (with W.
Shen),
Phys. Fluids B 3, 1225-1231 (1991)
The
Madison
Symmetric Torus (with R. N. Dexter, D. W. Kerst, T. W. Lovell, and
S. C. Prager), Fusion Technology 19, 131-139 (1991)
First
Results from the Madison Symmetric Torus Reversed Field Pinch (with
S. C. Prager, A. F. Almagri, S. Assadi, J. A. Beckstead, R. N. Dexter,
D. J. Den Hartog, G. Chartas, S. A. Hokin, T. W. Lovell, T. D. Rempel,
J. S. Sarff, W. Shen, and C. W. Spragins), Phys. Fluids B 2,
1367-1371
(1990)
Electrical
Circuit Modeling of Reversed Field Pinches, Phys. Fluids 31,
2266-2275 (1988)
Studies
of Large, Non-circular Reversed Field Pinch Discharges (with A.
Almagri,
S. Assadi, R. N. Dexter, S. C. Prager, and J. S. Sarff), Nuclear Fusion
27,
1795-1803 (1987)
Trapping
of Gun-injected Plasma by a Tokamak (with A. W. Leonard and R. N.
Dexter),
Phys. Fluids 30, 2877-2884 (1987)
Diffusion
of Magnetic Fields into Conductors of Nonuniform Resistivity, J.
Appl.
Phys. 61, 817-821 (1987)
Equilibrium
Studies of a Poloidal Divertor Pinch with a Reversed Toroidal Field
(with J. S. Sarff and L. Turner), Phys. Fluids 30, 2155- 2162
(1987)
Electrical
Circuit Modeling of Conductors with Skin Effect (with D. W. Kerst),
J. Appl. Phys. 60, 475-481 (1986)
Trapping
of a Gun-Injected Plasma by a Tokamak (with A. W. Leonard and R. N.
Dexter), Phys. Rev. Lett. 57, 333-336 (1986)
Multipole
and Tokamak Research at the University of Wisconsin (with S. C.
Prager),
Nuclear Fusion 25, 1179-1182 (1985)
Experimental
Observation of the Shear Alfven Resonance in a Tokamak (with F. D.
Witherspoon and S. C. Prager), Phys. Rev. Lett. 53, 1559-1562
(1984)
Ion
Cyclotron
Resonance Heating in the Wisconsin Levitated Octupole (with C. M.
Fortgang
and E. J. Strait), Plasma Phys. and Controlled Fusion 26,
589-602
(1984)
Plasma
Heating with Strong Poloidal Ohmic Currents (with D. J. Holly and
S.
C. Prager), Phys. Fluids 26, 3435-3439 (1983)
Protection
of Large Capacitor Banks (with T. W. Lovell), Rev. Sci. Instrum. 54, 896-897 (1983).
Tokamak
Start-up with Electron Cyclotron Heating (with D. J. Holly, S. C.
Prager,
and D. A. Shepard), Nuclear Fusion 21, 1483-1487 (1981)
High
Power
Heating in the Ion Cyclotron Range of Frequencies in the Wisconsin
Tokapole
II (with A. P. Biddle), Plasma Physics 23, 679-691 (1981)
Experimental
Observation of Plasma Paramagnetism in a Tokamak (with D. J. Holly,
S. C. Prager, and M. W. Phillips), Phys. Fluids 23, 417- 418
(1980)
Initial
Results for the Tokapole-II Poloidal Divertor Device (with A. P.
Biddle,
R. N. Dexter, R. J. Groebner, D. J. Holly, B. Lipschultz, M. W.
Phillips,
and S. C. Prager), Nuclear Fusion 9, 1509-1518 (1979)
Experimental
Study of Axisymmetric Instability of Inverse-dee and Square Tokamak
Equilibria
(with B. Lipschultz, S. C. Prager, T. H. Osborne, and M. Phillips),
Phys.
Rev. Lett. 43, 36-39 (1979)
Experimental
Demonstration of E x B Plasma Divertor (with E. J. Strait and D. W.
Kerst), Phys. Fluids 21, 2342-2345 (1978)
Experimental
Test of the Feasibility of Heating Tokamaks by Gun Injection (with
E. J. Strait), Nuclear Fusion 18, 1595-1598 (1978)
Ion
Cyclotron
Resonance Heating in the Wisconsin Supported Toroidal Octupole
(with
J. D. Barter), Plasma Physics 19, 945-957 (1977)
Numerical
Model of Plasma Confinement (with E. J. Strait), IEEE Trans. on
Plasma
Science
PS-4, 6-10 (1976)
Ion
Cyclotron-Resonance
Heating in a Toroidal Octupole (with J. D. Barter), Phys. Rev.
Lett.
34,
1607-1609 (1975)
Measurements
of Electron-Cyclotron Heating Rates (with J. D. Barter and K. L.
Wong),
Phys. Fluids 17, 810-812 (1974)
Digital
Plasma Density Determining Device (with D. J. Holly and T. W.
Lovell), Rev. Sci. Instrum. 45,
947-949 (1973).
High-Beta
Plasma Behaviour in a Canted Mirror (with R. A. Dandl, H. O. Eason
and A. C. England), Nuclear Fusion 13, 693-701 (1973)
Effect
of Magnetic Field Errors on Confinement in Bumpy Tori, Phys. Fluids
16,
1157-1159 (1973)
Numerical
Calculations of Off-resonance Heating, Phys. Fluids 15,
2247-2253
(1972)
Off-Resonance
Heating of Mirror Confined Plasmas (with K. A. Connor and J. L.
Shohet),
Plasma Physics 14, 269-274 (1972)
Computer
Calculations of Electron Cyclotron Heating in a Nonuniform Magnetic
Field
(with P. H. Edmonds), Phys. Fluids 14, 2703-2707 (1971)
Electron
Cyclotron Heating Toroidal Octupoles, Phys. Fluids 14,
1795-
1802 (1971)
Behavior
of a Cold Ion Plasma in a Toroidal Octupole, Phys. Fluids 13,
1626-1633 (1970)
Double
Vortex Flows in Plasmas Axially Traversing Multipole Magnetic Fields
(with Gerald O. Barney), Phys. Fluids 12, 707-712 (1969)
Admittance
Probe Method of Measuring Time Resolved Plasma Electron Temperatures,
Rev. Sci. Instrum. 39, 1569-1570 (1968)
Influence
of a Toroidal Field on Plasma Confined in a Toroidal Octupole (with
D. E. Lencioni, J. W. Poukey, J. A. Schmidt, and C. W. Erickson), Phys.
Fluids 11, 1115-1125 (1968)
Wide
Band
Electrostatic Probes for Use in Tenuous Plasmas, Rev. Sci. Instrum.
37,
897-900 (1966)
See also Sprott's
Technical Notes, Sprott's Software, and
The
Wonders of Physics videos.
