NON-LINEAR SYSTEMS Essential Skills for Research Success in Academia

Essential Skills for Research Success in Academia

1. NON-LINEAR SYSTEMS REVATHY S (23PHD1305)

2. SECOND-ORDER SYSTEMS

3. QUALITATIVE BEHAVIOUR OF NEAR EQUALIBRIA POINTS

4. LIMIT CYCLES

5. NUMERICAL CONSTRUCTION OF PHASE PORTRAITS The first step in constructing the phase portrait is to find all equilibrium points and determine the type of isolated ones via linearization. Drawing trajectories involves three tasks: Selection of a bounding box in the state plane where trajectories are to be drawn. The box takes the form

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