Book on Dynamical Systems

Question

I am a Mathematics undergraduate and want to study about Dynamical Systems. Following are the courses that I have gone through:

1. Logic and Set Theory
2. Real Analysis(Including study of Topology of Metric Spaces)
3. Matrix Theory
4. Combinatorics and Discrete Mathematics
5. Abstract Algebra (Group, Ring and Field Theory)
6. Multivariable Calculus
7. Probability and Statistics
8. Ordinary Differential Equations

I want to know if I can study Dynamical Systems with these prerequisites and if so, please suggest a book for the same. Moreover, next Semester I will taking courses on Topology, Linear Algebra, Complex Analysis, Partial Differential Equations.