References for Chaos Courses
A list of texts and software
for an undergraduate course
on chaotic dynamics, most of which I have used
in the classroom.
Books with disk marked D
Books with CDROM marked CD
- 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
- 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
- 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
- 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
- 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
Revised by Ralph 04 Jan 1999