<h3>MA6050 DYNAMICAL SYSTEMS</h3>
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<h4>Course Details</h4>
One -dimensional flows: fixed points and stability, linear stability analysis, Saddle- node bifurcation, Transcritical bifurcation, Pitchfork bifurcation, Flows on the circle<br> Two -dimensional flows: Linear systems, nonlinear autonomous systems, phase portraits, Fixed points and linearization, conservative systems, index theory, limit cycles, Poincare Bendixson theorem, Lienard systems, Saddle-node, Transcritical and Pitchfork bifurcations, Hopf bifurcation<br> Chaos<br> Discrete dynamical systems
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<h4>Course References:</h4>
Books:<br>
(1) Steven H Strogatz, Nonlinear dynamics and Chaos, Perseus books publishing, 1994<br>
(2) James T Sandefur, Discrete dynamical systems Theory and applications, Clarendon press, 1990