Lecture 1

24 Novembro 2016, 18:00 • Paulo Brito

Introduction.

Discrete time: calculus of variations

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Planar Linear Difference Equations

18 Novembro 2016, 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

17 Novembro 2016, 18:00 • José Pedro Gaivão

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

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Planar ODEs

11 Novembro 2016, 18:00 • José Pedro Gaivão

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

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Difference Equations

10 Novembro 2016, 18:00 • José Pedro Gaivão

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

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