Planar systems

1 Outubro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Nonlinear systems in the plane. Hartman-Grobman theorem. Phase portraits of planar systems: a few examples.

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Problem session

26 Setembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Discussion of solved problems from the texbook end of chapter lists.

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Planar systems

24 Setembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Phase space, orbits and phase portraits. Classification of linear systems in the plane. Jordan canonical form for a general matrix.

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Problem session

19 Setembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Logistic map. Series solutions of ODEs.

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Introduction to ODEs and dynamical systems

17 Setembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Existence and uniqueness thorem for ordinary differential equations. Analytic methods for elementary differential equations.

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