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Further Reading
Strogatz’s book is easily understandable and well-written on dynamical systems and chaos. Gleick’s book is non-technical but entertaining. Lorenz’s and May’s are seminal articles cited in this chapter.
K.T. Alligood, T.D. Sauer and J.A. Yorke, Chaos: An Introduction to Dynamical Systems, Springer, 2000.
A.B. Ĉambel, Applied Chaos Theory: A Paradigm for Complexity. Academic Press, San Diego, Calif, 1993.
W. Ditto and T. Munakata, "Principles and Applications of Chaotic Systems," Communications of the ACM, Vol. 38, No. 11, 96-102, Nov., 1995,.
J. Gleick, Chaos: Making a New Science, Viking, 1987.
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer,1983, 1990.
A. Lasota and M.C. Mackey, Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics, Springer, 1998.
E.N. Lorenz, "Deterministic non-periodic flow," Journal of the Atmospheric Sciences, 20, 130-141, 1963.
R.M. May, "Simple Mathematical Models with Very Complicated Dynamics," Nature, Vol. 261, 459-467, June, 1976.
E. Ott, Chaos in Dynamical Systems,Cambridge University Press, 1993.
E. Ott, T. Sauer, and J.A. Yorke, Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems,Wiley, N.Y., 1994.
T.S. Parker and L.O. Chua, Practical Numerical Algorithms for Chaotic Systems, Springer, 1989.
S.H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, 1994.
Journals
There are many journals that carry articles in chaos including the following.
Chaos, American Institute of Physics.
Chaos, Solitons and Fractals, Elsevier Science.
Nonlinearity, Institute of Physics (UK), London Mathematical Society.
International Journal of Bifurcation and Chaos, World Scientific Publishing Co., Singapore.
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Munakata, T. (2008). Chaos. In: Munakata, T. (eds) Fundamentals of the New Artificial Intelligence. Texts in Computer Science. Springer, London. https://doi.org/10.1007/978-1-84628-839-5_7
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