READING LIST FOR ECE/ChE/Math777, Nonlinear Dynamics, Bifurcations, Chaos
相信学习非线性动力学的同道中人，没有人不为经典理论而挠首。不知道，您是否看到过这个书单？其中您又读过几本？又读懂了几本？Guckenheimer, J., Holmes, P. Nonlinear oscillations, dynamical systems and bifurcations of vector fields, Springer Verlag, New York.
– This is the main book defining the level of the course. Some students prefer Wiggins to Guckenheimer and Holmes. I recommend Strogatz and Seydel for easier treatments of some of the course material.
Gleick, J. Chaos, Making a new science, Penguin. –Popular introduction to chaos and the personalities discovering it.
Thompson, J.M.T., Stewart, H.B. Nonlinear dynamics and chaos: geometrical methods for engineers and scientists, John Wiley, New York. –Easier, nonrigorous introduction to some of the course material
Strogatz, S., Nonlinear dynamics and Chaos : with applications in physics, biology, chemistry, and engineering, Addison-Wesley, Reading MA.
– Excellent introduction to subject; particularly good on the interplay of applications and mathematics.
Seydel, R. From equilibrium to chaos: practical bifurcation and stability analysis, Elsevier, New York OR the second edition , Springer-Verlag, New York.
– Very good introduction to numerical methods for bifurcations
Hirsch, M.W., Smale, S. Differential equations, dynamical systems and linear algebra, Academic Press, New York.
– Excellent background material for the course.
Baker, G.L., Golub, J.P. Chaotic dynamics: an introduction, Cambridge University Press, New York.
Bai-Lin, H. Chaos, World Scientific, Singapore.
– Good collection of classic papers on chaos, including Feigenbaum, May, H´enon, Lorenz, Ruelle and Takens.
Holden A., V. Chaos, Princeton University Press.
– Papers on applications of chaos.
Barnsley, M.F. Fractals everywhere, Academic Press, San Diego.
Abraham, R.H. and C.D. Shaw , Dynamics, the geometry of behavior, volumes 1–4, Aerial Press, Santa Cruz, CA. –Great pictures of dynamical systems; you must sample this.
Shaw, R. , The dripping faucet as a model chaotic system, Aerial Press, Santa Cruz, CA. –an inspiring classic
Ott, E. Chaos in dynamical systems, Cambridge University Press
Devaney, R.L. An introduction to chaotic dynamical systems, Second Edition, Addison-Wesley.
– Develops the ideas and math of dynamical systems theory for one dimensional maps.
Golubitsky, M., Schaeffer, D.G. Singularities and groups in bifurcation theory, Volume 1, Springer Verlag, New York. –Try this for Lyapunov-Schmidt reduction and organizing centers
Wiggins, S. Introduction to applied nonlinear dynamical systems and chaos, Springer-Verlag, Texts in Applied Mathematics 2. –comprehensive and some prefer it to Guckenheimer and Holmes
Palis, J., de Melo, W. Geometric theory of dynamical systems; an introduction, Springer Verlag, New York.
– Excellent mathematical reference on dynamical systems: read the first 99 pages after you have read much of GH to get a good handle on the math. 顶.确实都是经典著作,我只读过其中两本
回复 #1 liuxiangf 的帖子
确实很多都是好书，但是到现在还没有读完一本，（英文的看起来很累、很慢的） 书是很经典:@) :@)
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