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Nonlinear Dynamics and Chaos

The following sources are recommended by a professor whose research specialty is nonlinear dynamics and chaos.


 

Six Superlative Sources

· V.I. Arnold. Ordinary Differential Equations, MIT Press, 1973.

-- BASIC GRADUATE LEVEL TECHNICAL TEXTS --

· V.I. Arnold. Geometrical Methods in the Theory of Ordinary Differential Equations, Springer Verlag, Heidelberg, 1983.

· P. Glendinning. Stability, Instability and Chaos, Cambridge University Press, 1994.

· J. Guckenheimer and P. Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer Verlag, 1983. (Fifth corrected printing 1997.)

-- HISTORICAL AND GENERAL SURVEYS FOR NON-SPECIALISTS --

· D. Ruelle. Chance and Chaos. Princeton University Press, 1991.

· F. Diacu and P. Holmes (1996) Celestial Encounters: The Origins of Chaos and Stability. Princeton University Press, Paperbound edition in Princeton Science Library, 1999.

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