book recommendations for further learning about dynamical system and bifurcation

1.1k Views Asked by At

I have read the book "Introduction to Applied Nonlinear Dynamical Systems and Chaos"by Stephen Wiggins.Could someone recommend books on dynamical systems and bifurcation theory for further learning?

1

There are 1 best solutions below

3
On

The Wiggins book is pretty hard to beat if you liked it.

Here are some recommendations to peruse online and see if they suit your needs. I like all three for different reasons and believe these are all well received generally.

  • Nonlinear Dynamics and Chaos, S.H. Strogatz
  • Dynamics and Bifurcations, J. Hale and H. Kocak
  • An Introduction to Dynamical Systems, D.K. Arrowsmith and C.M. place

Another book that is not as popular and different (precisely why I have it) is:

  • Perspectives of Nonlinear Dynamics, E.A. Jackson

There are many other books on the matter out there. For example (I do not own this book, but have perused it many times and it has a wonderful problem set).

  • Differential Equations, Dynamical Systems, and an Introduction to Chaos, , M. W. Hirsch, S. Smale (Author), R.L. Devaney