References for Chaos Theory

Books with disk marked D
Books with CDROM marked CD

Abarbanel, Henry D. I., 1996

Analysis of Observed Chaotic Data

New York: Springer-Verlag

Great text of Nonlinear Time Series Anaysis

Also, user's manual for software available online

Abraham, Ralph, 1994

Chaos, Gaia, Eros

San Francisco: HarperSF

Argues that our current chaos revolution is a big one.

UCSC Sci

Abraham, Ralph ,and Chris Shaw, 1981-82, 1992

Dynamics the Geometry of Behavior

Santa Cruz, CA: Aerial

Monster of visual representation

UCSC Sci

Abraham, Ralph, Laura Gardini, and Christian Mira, 1997

Chaos in Discrete Dynamical Systems

New York: Telos/Springer-Verlag

The new method of critical curves with movies on CDROM

UCSC Sci

Alligood, Kathleen T., Tim D. Sauer, and James A. Yorke, 1997

Chaos : an introduction to dynamical systems

New York: Springer-Verlag

Not at UCSC

Baker, Gregory L., and Jerry P. Gollub, 1990/1996, D/Win

Chaotic dynamics : an introduction, 2nd ed.

Cambridge; New York: Cambridge University Press

Software disk avail separately

UCSC Science QA862.P4 B35 1996

Berge, Pierre, Yves Pomeau, and Christian Vidal, 1984

Order within chaos : Towards a deterministic approach to turbulence

New York: Wiley

Preface by David Ruelle

UCSC Science QA614.8.B4713 1986

Borelli, Robert, and xx Coleman, 1998

ODE Architect (new software tools in beta)

Cambel, A. B., 1993

Applied chaos theory : a paradigm for complexity

Boston: Academic Press

UCSC Science Q172.5.C45C36 1993

Collet, Pierre, and Jean-Pierre Eckmann,

Iterated maps on the interval as dynamical systems.

Basel ; Boston : Birkhauser, c1980.

UCSC Science QA614.8.C64

Expert level, very satisfying.

Devaney, Robert

Chaos and Fractals

First chaos text for high schools

Devaney, Robert L., 1985/1987/1989

An introduction to chaotic dynamical systems, 2nd ed.

Redwood City, Calif.: Addison-Wesley

UCSC Science QA614.8.D48 1989

1D and 2D maps, advanced undergraduate level

Devaney, Robert L., 1990

Chaos, fractals, and dynamics: computer experiments in mathematics

Menlo Park, Calif.: Addison-Wesley Pub. Co.

UCSC Science QA614.86.D48 1990

1D and 2D maps, high school level

Devaney, Robert L., 1992, D/Mac

A first course in chaotic dynamical systems: theory and experiment

Reading, Mass.: Addison-Wesley

UCSC Science QA614.8.D49 1992

1D and 2D maps, lower undergraduate level

Software by James George and Del Johnson avail separately

Field, Michael, and Martin Golubitsky, 1992

Symmetry in Chaos: A Search for Pattern in Mathematics, Art and Nature

Oxford: Oxford University Press

UCSC Science Q172.5.S95F54 1992

Rad graphics!!

Gleick, James

Chaos, the Making of a New Science

Read all about it, UCSC makes the history books

Guckenheimer, John, and Philip Holmes, 1983

Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

New York: Springer-Verlag

UCSC Science QA867.5.G8 1983

Advanced, flows

Gulick, Denny, 1992

Encounters with chaos

New York : McGraw-Hill

Not at UCSC

Lower undergraduate level

Hao, Bai-lin, 1989

Elementary symbolic dynamics and chaos in dissipative systems

Singapore; Teaneck, NJ: World Scientific

UCSC Science Q172.5.C45H36 1989

1D and 2D maps, 2D flows, advanced

Hao Bai-lin

Elementary Symbolic Dynamics

Fast work in Beijing

Hao, Bai-lin, and Wei-Mou Zheng, 1998

Applied symbolic dynamics and chaos

Singapore; River Edge, NJ: World Scientific

Not at UCSC

Hirsch, Morris, and Steve Smale, 19xx

Linear Algebra, Differential Equations, and Dynamical Systems

New York: Academic

UCSC Sci

Great book, flows done right

Hubbard, John H., and Beverly H. West, 1990

Differential equations : a dynamical systems approach

Part I: One dimensional equations

New York: Springer-Verlag

UCSC Science QA371.H77 1991

1D flows, upper undergraduate level

Hubbard, John H., and Beverly H. West, 1990

Differential equations : a dynamical systems approach

Part II: Higher dimensional systems

New York: Springer-Verlag

UCSC Science QA371.H77 1991

2D and 3D flows, upper undergraduate level

Hubbard, John H., and Beverly H. West, 1991/1995

Differential equations : a dynamical systems approach

New York: Springer-Verlag

West, Beverly H., and Hubert Hohn, 1997, D/M/Win

Interactive differential equations

Software only

[Reading, MA] : Addison Wesley Interactive, c1997

Hubbard, John H., and Beverly H. West, 1992, D/Mac

MacMath 9.0: a dynamical systems software package for the Macintosh

New York: Springer-Verlag

Book: UCSC Science QA371.H773 1991

Disk: UCSC Science DISK 233 Protect

1D maps, 2D and 3D flows

Companion to Hubbard and West, 1990 and 1991

Jackson, Edwin Atlee, Exploring nature's dynamics.

New York: Wiley, c2001.

UCSC S & E Lib QA614.8 .J33 2001 , UCSC S & E Lib Disk 1864 Protect.

Excellent graphics, software, text.

Kocak, Huseyin, 1986/89, D/Win

Phaser

New York: Springer-Verlag

UCSC Science Disk 43-45 Protect

Software only

Martelli, M. (Mario), 1992

Discrete dynamical systems and chaos

New York: J. Wiley

UCSC Science QA614.8.M28 1992

Medio, Alfredo, 1992, D/??

Chaotic dynamics: theory and applications to economics

DMC software by Giampaolo Gallo

Cambridge University Press

UCSC McHenry HB145.M43 1992

Nusse, Helena, and James Yorke, 1994/98, D/Win

Dynamics: numerical explorations, 2nd ed.

New York: Springer-Verlag

Book: UCSC Science QA845 .N87 1998

Disk: UCSC Science Disk 978 Protect

Ott, Edward, Tim Sauer, and James A. Yorke, 1994

Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems

New York: John Wiley

UCSC Science Q172.5 C45 C67 1994

Excellent text on Nonlinear Time Series Analysis

AND collection of articles, historical and new

Peak, David, and Michael Frame

Chaos Under Control: The Art and Science of Complexity

New York: Freeman, 1944

Simple introduction to concepts of fractals, iterated functions, chaos, control, basin boundaries, self-organization, ...

Peitgen, Heinz-Otto and others

Chaos and Fractals

Another high school text, or post-graduate...

Pickover, Clifford

Computers, Pattern, Chaos, and Beauty

New York: St. Martin's, 1990

Rasband, S. Neil, 1989

Chaotic dynamics of nonlinear systems

New York: J. Wiley

UCSC Science Q172.5.C45R37 1989

1D and 2D maps and nD flows, advanced

Rucker, Rudy, 1993, D/Win

Artificial life lab

Cellular dynamata programs

Not in UC system

Rucker, Rudy, 19xx, D/Win

CA lab

Cellular Automata software

Not in UC system

Rucker, Rudy, 19xx, D/Win

Chaos: the software

Not in UC system

Ruelle, David, 1989

Chaotic evolution and strange attractors: the statistical analysis of time series for deterministic nonlinear systems

Cambridge: Cambridge University Press, 1989

Lecture notes on characteristic exponents, entropy, and dimensions

Sandefur, James T., 1990

Discrete dynamical systems: theory and applications

New York: Oxford University Press

UCSC Science QA614.8.S25 1990

Sandefur, James T., 1993

Discrete dynamical modeling

New York: Oxford University Press

UCSC Science QA614.8.S24 1993

Sprott, Julian

Strange Attractors: Creating Patterns in Chaos

New York: M&T Books, 1993

Strogatz, Steven, 1994, D/Mac

Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering

Reading, MA: Addison-Wesley, 1994

UCSC Science Q172.5.C45 S767

Software available separately, cf West, 1996

Thompson, J. M. T., and H. Bruce Stewart, 1986

Nonlinear dynamics and chaos : geometrical methods for engineers and scientists

New York: J. Wiley

UCSC Science QA871.T47 1986

Flows, advanced

West, Beverly, Steven Strogatz, Jean Marie McDill, and John Cantwell; with Hubert Hohn, 1996

Interactive Differential Equations

Workbook and CDROM, accompanies Strogatz, 1994

Reading, MA: Addison-Wesley Interactive