SE 390. Order and Chaos
(3 - 0 - 0 - 0 - 4)
- Dynamical Systems (5)
- Importance of Nonlinearity
- Nonlinear dynamics of Flows (in 1, 2, and 3 dimensions) and Maps (in 1, 2 dimensions) in Phase Space.
[Equilibrium, Periodicity, Bifurcation, Catastrophe, Deterministic Chaos, Strange Attractor].
- Dynamical Systems (5)
- Importance of Nonlinearity
- Nonlinear dynamics of Flows (in 1, 2, and 3 dimensions) and Maps (in 1, 2 dimensions) in Phase Space.
[Equilibrium, Periodicity, Bifurcation, Catastrophe, Deterministic Chaos, Strange Attractor]. (10)
- Routes to Chaos [Period doubling Quasiperiodicity, Intermittency, Universality, Renormalization] (10)
- Measurement of Chaos[Poincare section, Lyapunov index, Entropy] (5)
- Fractal geometry and Fractal dimension (5)
- Examples from Physical Sciences, Engineering and Bilogy (5)
Books:
-
- STROGATZ: Nonlinear Dynamics and Chaos
- HILBORN: Chaos and Nonlinear Dynamics
- PEITGEN, JURGENS, SAUPE: Chaos and Fractals
- JORDAN, SMITH: Nonlinear Ordinary Differential Equations
- Proposed by:
- Dr. A.K. Mallick (ME)