Lecture 1

26 Novembro 2015, 18:00 • Paulo Brito

Introduction to calculus of variations and optimal control problems in continuous and discrete time

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Planar difference equations

20 Novembro 2015, 18:00 • José Pedro Gaivão

2D linear difference equations. General solution. Computation of powers of a matrix.

Examples.

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Jordan normal forms

19 Novembro 2015, 18:00 • José Pedro Gaivão

Jordan decomposition. Phase portrait of linear ODEs in Jordan normal form. Classification. 

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Planar ODEs

13 Novembro 2015, 18:00 • José Pedro Gaivão

Periodic points and stair-step diagram. 

Linear planar ODEs. Jordan normal forms and exponential matrix. General solution.

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Difference Equations

12 Novembro 2015, 18:00 • José Pedro Gaivão

Difference equations. Examples. Solution of the linear DE. Fixed points and stability.

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