Math 4/5027 Topics in Nonlinear Dynamics and Chaos
Readings and References

Good Sites


Here are a few relevant sources (in no particular order).

Fun, Non-technical Reading

  1. Chaos: Making of a New Science, J. Glieck, Viking, 1987.
  2. Complexity: The Emerging Science at the Edge of Order and Chaos, M. Waldrop, Simon and Schuster, 1992.
  3. At Home in the Universe: The Search for the Laws of Self-Organization and Complexity, S. Kauffman, Oxford Press, 1995.

Technical Reading

  1. Understanding Nonlinear Dynamics, D. Kaplan and L. Glass, Springer-Verlag, 1994.
  2. Nonlinear Dynamics and Chaos, S. Strogatz, Addison-Wesley, 1994.
  3. Differential Equations and Their Applications, M. Braun. Springer-Verlag, 1993.
  4. Perspectives of Nonlinear Dynamics, Volumes 1 and 2, E. Jackson, Cambridge University Press, 1991.
  5. Dynamics: The Geometry of Behavior, Parts 1-4, R. Abraham and C. Shaw, 1981-1988.
  6. Chaotic Vibrations: An Introduction for Applied Scientists and Engineers, F. Moon, Wiley, 1987.
  7. Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers, F. Moon, Wiley, 1992.
  8. Differential Equations, Dynamical Systems and Linear Algebra, M. Hirsch and S. Smale, Academic Press, 1974.
  9. An Introduction to Chaotic Dynamical Systems, R. Devaney, Benjamin, 1986.
  10. From Clocks to Chaos, L. Glass and M. Mackey, Princeton University Press, 1988.
  11. Chance and Chaos, D. Ruelle, Princeton University Press, 1991.
  12. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, J. Guckenheimer and P. Holmes, Springer-Verlag, 1983.
  13. Chaos Under Control: The Art and Science of Complexity, W.H. Freeman, 1994.
  14. Nonlinear Dynamics and Chaos, J. Thompson and H. Stewart, Wiley, 1986.
  15. Introduction to Applied Nonlinear Dynamical Systems and Chaos, S. Wiggins, Springer-Verlag, 1990.