MA51112: Discrete Dynamical Systems
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| MA51112 | |
|---|---|
| Course name | Discrete Dynamical Systems |
| Offered by | Mathematics |
| Credits | 4 |
| L-T-P | 3-1-0 |
| Previous Year Grade Distribution | |
| {{{grades}}} | |
| Semester | Spring |
Syllabus
Syllabus mentioned in ERP
Prerequisite: voidPhase Portraits, Periodic Points and Stable Sets, Sarkovskiis Theorem, Hyperbolic, Attracting and Repelling Periodic Points. Families of Dynamical Systems, Bifurcation, Topological Conjugacy. The Logistic Function, Cantor Sets and Chaos, Period-Doubling Cascade. Symbolic Dynamics. Newtons Method. Numerical Solutions of Differential Equations. Complex Dynamics, Quadratic Family, Julia Sets, Mandelbrot Set. Topological Entropy, Attractors and Fractals, Theory of Chaotic Dynamical systems.