Mini-courses

2021.2 August - December

Minicourse 5 : Jaqueline Siqueira
(Univ. Federal de Rio de Janeiro)
A Brief Introduction to Ergodic Theory
17, 19, 24 & 26 August (4h)
(In English)

Minicourse 6 : Timoteo Carletti
(Université de Namur, Belgium)
Complex Networks & Dynamical Systems (4h)
(In English)

Minicourse 7 : Mark Levi
(UPENN, USA)

2021.1 April - June

Minicourse 1 : Otávio Marçal Leandro Gamide
(Univ. Federal de Goias, Brazil)
Uma breve Introdução aos Sistemas Dinâmicos (3h)

Video of Lecture 1

Video of Lecture 2

(in Portuguese)

Referências:

1) D. K. Arrowsmith, C. M. Place. An Introduction to Dynamical Systems. Cambridge University Press. 1990.

2) J. Sotomayor. Lições de Equações Diferenciais Ordinárias. IMPA, 1979.

3) M. Kot. Elements of Mathematical Ecology. Cambridge University Press, 2001.


Minicourse 2 : Hildeberto Cabral
(Univ. Federal de Pernambuco, Brazil)
Estabilidade de Sistemas Hamiltonianos Lineares

(Em Portugues)


Minicourse 3 : Gemma Huguet
(UPC, Barcelona)
Introduction to Mathematical Neuroscience (4h)
Video of Lecture 1

(In English)


Timetable

- Lecture1 (1h) Membrane biophysics and the Hodgkin-Huxley model.

- Lecture2 (1h) Excitability and action potentials. Phase-plane analysis.

From resting state to oscillations (bifurcation analysis).

- Lecture3 (1h) Firing rate models for neuronal populations. Wilson-Cowan

equations.

- Lecture4 (1h) Applications to cognitive tasks (decision making, perception).

Minicourse 4 : Angel Jorba
(Universitat de Barcelona)
Invariant manifolds : Theory and Numerics.
Examples from Celestial Mechanics and Astrodynamics

(in English)