SE 312: Order and Chaos
(3-0-0-0-4)

Dynamical Systems (2); Nonlinear dynamics of one dimensional flows, Fixed point, linear stability analysis, bifurcations (4);
Nonlinear dynamics of two dimensional flows, Phase space, equilibrium, Limit cycle, stability, bifurcations (8); Periodicity, disturbed periodicity (2); Non-linear dynamics of 1-D and 2D maps, fixed point, stability, Poincare section (8); Routes to chaos- Period doubling, quasiperiodicity and intermittency, Universality, Renormalization (6); Measurement of chaos,Lyapunov exponent, entropy (4); Strange attractors, fractal geometry and fractal dimension (3); Examples from Sciences and Engineering (3).

Text Books:

1. S.H. Strogatz: Nonlinear Dynamics and Chaos: with applications to Physics, Biology, Chemistry and Engineering- Addison-Wesley Publishing Company, (1994).
2. R.C. Hilborn: Chaos and Nonlinear Dynamics - An introduction to Scientists and Engineering- Oxford University Press, (1994).
3. D.W. Jordan and P. Smith: Nonlinear Ordinary Differential Equations. Clarendon Press, Oxford, 2nd Edition, (1987).
4. H.O. Peitgen and P.H. Richter: The beauty of Fractals: images of complex dynamical systems Sprinzer-verlag, (1986).

Concerned Department: Physics

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