Introduction : Examples of Nonlinear dynamical systems in mechanical and Electromechanical systems Discrete and continuous, Duffing and Vander Pol Oscillators. Review of approximate Techniques.
Geometric concepts in Nonlinear Dynamical system analysis – Phase plane-fixed points-limit cycles, Nonlinear maps Poincare’map.
Types of bifurcation and Chaos – period doubling quasiperiodic and intermittency routes to chaos-crises.
Measures of chaos – Autocorrelation, power spectrum, Lyapunov exponents – Fractals and dimensions – Basins of attraction.
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