Sumários
Dynamic optimization in discrete time
28 Novembro 2014, 18:00 • Paulo Brito
Calculus of variations problems: simplest, free terminal state, constrained terminal state, infinite horizon
Planar DEs
21 Novembro 2014, 18:00 • José Pedro Gaivão
Exercises.
Planar difference equations. Solution of the non-homogeneous linear planar difference equation. Second order scalar linear difference equations. Examples and phase-portraits.
Planar ODEs
18 Novembro 2014, 21:00 • José Pedro Gaivão
Exercises.
Computing Jordan normal forms.
Non-homogeneous linear ODEs. General solution.
Planar ODEs
14 Novembro 2014, 18:00 • José Pedro Gaivão
Difference equations: orbits, step-stair diagram and examples.
Fixed and periodic points. Stability.
Planar ODEs. Linear homogeneous ODEs. General solution of a linear ODE.
Phase portraits and Jordan normal forms.
Classification of equilibria. Change of variables.