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Discrete Dynamical Systems(Applied)

Discrete Dynamical Systems
by
Dr. Reza Mazrooei-Sebdani
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Main Contents:
1. Stability Theory
2. Chaos Theory
3. Bifurcation Theory
4. Symbolic Dynamics
5. Differential Equations
6. Ergodic Theory
7. Fractals
8. Applications
 
References
[1] K.T. Alligood, T.D. Sauer, J.A. Yorke, Chaos: An Introduction to dynamical systems, Springer, New York, 1996.
[2] M. Brin, G. Stuck, Introduction to Dynamical Systems, Cambridge, New York, 2002.
[3] R.L. Devaney, An Introduction to Chaotic Dynamical Systems, Second Edition. Addison-Wesley, Redwood City, Canada, 2003.
[4] S. Elaydi, Discrete Chaos, Second Edition: with Applications in Science and Engineering, Chapman and Hall/CRC, Boca Raton, 2007.
[5] J. Guckenhemimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.Springer, New York, 1983.
[6] Y.A. Kuznetsov, Elements of Applied Bifurcation Theory. Springer, Berlin, 1998.
[7] S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer; New York, 2003.
---Also any books and papers spesifically for applications in biology, economics, secure communications, ...
Prerequisites: 

Advanced Calculus, Elementary Analysis, Linear Algebra

Grading Policy: 
Evaluation: Activities in Class(2/20)+Mid term I(last Thursday/Mehr/1392)(4/20)+Mid
term II(first Thursday/Azar/1392)(4/20)+Final term(6/20)+Computer projects(2/20)+
Exercises(2/20).
Time: 

Saturdays & Mondays 10-12

Term: 
Winter 2013
Grade: 
Graduate