Nonlinear Dynamics and Chaos

Drazin, P. G. Nonlinear Systems . Cambridge University Press, 2012. ISBN: 9781139172455.

Peitgen, H-O, H. Jurgens, and D. Saupe. Chaos and Fractals: New Frontiers of Science . Springer, 2012. ISBN: 9781468493962.

Parker, T. S., and L. O. Chua. Practical Numerical Algorithms for Chaotic Systems . Springer, 2011. ISBN: 9781461281214.

Jordan, D. W., and P. Smith. Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers . Oxford University Press, 2007. ISBN: 9780199208258.

Berge, P., Y. Pomeau, and C. Vidal. Order Within Chaos . Wiley-VCH, 1987. ISBN: 9780471849674.

McCuskey, S. W. Introduction to Celestial Mechanics . Addison-Wesley Publishing Company, Incorporation, 1963. ISBN: 9780201045703.

Guckenheimer, J., and P. Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields . Springer, 2002. ISBN: 9780387908199. Requires mathematical sophistication. Subject covered at a rigorous level, with proofs requiring knowledge beyond course pre-requisites (say, at the level of Coddington, E. A., and N. Levinson. Theory of Ordinary Differential Equation . McGraw-Hill, 1984. ISBN: 9780070992566.)

Lichtenberg, A. J., and M. A. Lieberman. Regular and Chaotic Dynamics, Applied Mathematical Sciences . Springer, 1992. ISBN: 9780387977454.

Strogatz, S. Nonlinear Dynamics and Chaos . Reading, MA: Addison-Wesley, 1994. ISBN: 9780201543445. We will cover most of the theory here (but skip some examples).

Drazin, P. G. Nonlinear systems . Cambridge, UK: Cambridge University Press, 1992. ISBN: 9780521404891.

Peitgen, H-O., H. Jurgens, and D. Saupe. Chaos and Fractals: New Frontiers of Science . New York, NY: Springer, 2004. ISBN: 9780387202297.

Parker, T. S., and L. O. Chua. Practical Numerical Algorithms for Chaotic Systems . New York, NY: Springer-Verlag, December 20, 1991. ISBN: 9780387966892.

Jordan, D. W., and P. Smith. Nonlinear Ordinary Differential Equations . New York, NY: Oxford University Press, 1999. ISBN: 9780198565635.

Berge, P., Y. Pomeau, and C. Vidal. Order Within Chaos . New York, NY: Wiley 1987. ISBN: 9780471849674.