Math 4/5027 Topics in
Nonlinear Dynamics and Chaos
Readings and References
Good Sites
- A huge bibliography (with search engine) for nonlinear dynamics
can be found at
German Chaos List
- Chaos in the Classroom
- Visit the amazing
Pendulum Lab
- Double pendulum simulation
- The Beauty of Chaos
-
FAQs on Nonlinear Dynamics, good notes and references
- Devaney's Dynamical Systems Project
-
The Non-Linear Lab....CHECK THIS SITE FOR ITERATED MAPS!!!
-
Complex Systems Virtual Library
-
Chaos at Maryland
-
Chaos Homepage
-
Chaos, Symmetry and meaning
-
Non-linear hotlist, a very complete list.
-
The Chaos MetaLink, another large list of chaos sites.
-
Mathematics Archives, the biggest list of math sites I have ever seen!
-
Mesodynamics, Randall Peters' studies of chaos and non-linearity in mechanical systems.
- Scott's Page of Chaos,
Looks like a new site, but a promising start!
- Prof. Vladimir's home page, several papers
on nonlinear topics.
- A Page of JAVA Applets, many having topics
dealing with nonlinear dynamics.
Here are a few relevant sources (in no particular order).
Fun, Non-technical Reading
- Chaos: Making of a New Science, J. Glieck, Viking, 1987.
- Complexity: The Emerging Science at the Edge of Order and
Chaos,
M. Waldrop, Simon and Schuster, 1992.
- At Home in the Universe: The Search for the Laws of
Self-Organization
and Complexity, S. Kauffman, Oxford Press, 1995.
Technical Reading
- Understanding Nonlinear Dynamics, D. Kaplan and L. Glass,
Springer-Verlag,
1994.
- Nonlinear Dynamics and Chaos, S. Strogatz, Addison-Wesley,
1994.
- Differential Equations and Their Applications, M. Braun.
Springer-Verlag,
1993.
- Perspectives of Nonlinear Dynamics, Volumes 1 and 2, E.
Jackson,
Cambridge University Press, 1991.
- Dynamics: The Geometry of Behavior, Parts 1-4, R. Abraham and
C. Shaw, 1981-1988.
- Chaotic Vibrations: An Introduction for Applied Scientists and
Engineers,
F. Moon, Wiley, 1987.
- Chaotic and Fractal Dynamics: An Introduction for Applied
Scientists
and Engineers, F. Moon, Wiley, 1992.
- Differential Equations, Dynamical Systems and Linear Algebra,
M. Hirsch and S. Smale, Academic Press, 1974.
- An Introduction to Chaotic Dynamical Systems, R. Devaney,
Benjamin,
1986.
- From Clocks to Chaos, L. Glass and M. Mackey, Princeton
University
Press, 1988.
- Chance and Chaos, D. Ruelle, Princeton University Press,
1991.
- Nonlinear Oscillations, Dynamical Systems, and Bifurcations of
Vector
Fields, J. Guckenheimer and P. Holmes, Springer-Verlag, 1983.
- Chaos Under Control: The Art and Science of Complexity, W.H.
Freeman, 1994.
- Nonlinear Dynamics and Chaos, J. Thompson and H. Stewart,
Wiley,
1986.
- Introduction to Applied Nonlinear Dynamical Systems and
Chaos,
S. Wiggins, Springer-Verlag, 1990.