Departament de Matemàtica Aplicada, I
EPSEB
Universitat Politècnica de Catalunya

PEOPLE

RESEARCH INTERESTS

GROUPS AND ACTIVITIES

MATHEMATICAL AND COMPUTATIONAL NEUROSCIENCE

Estimation of conductances Toni Guillamon Collaborators: Louis Tao (Beijing University), José A. Carrillo (ICREA-UAB), María J. Cáceres (Univ. Granada); John Rinzel (Center for Neural Science and Courant Institute, New York University), David McLaughlin (Courant Institute and Center for Neural Science, New York University); Tomeu Coll (UIB), Rafel Prohens (UIB).

Mutual effects between synaptic depression and network activity José Manuel Benita, Toni Guillamon Collaborators: Mavi Sánchez-Vives (ICREA-IDIBAPS), Gustavo Deco (ICREA-UPF)

Effective computation of phase resetting curves and surfaces Gemma Huguet, Toni Guillamon

Surround inhibition in motor cortex Marina Martínez, Toni Guillamon Collaborator: Josep M. Espadaler (Hospital del Mar, IMIM)

DYNAMICAL SYSTEMS

Bounds for the number of limit cycles in planar systems Toni Guillamon Collaborators: Marco Sabatini (Univ. Trento).

Applications of Lie symmetries to time and stability problems in planar dynamical systems Toni Guillamon, Gemma Huguet Collaborators: Armengol Gasull (UAB), Emilio Freire (Univ. Sevilla)

Phase portraits of planar Hamiltonian systems Chara Pantazi, Toni Guillamon

Other topics of interest in dynamical systems:

The centre-focus problem and computation of Liapunov constants.

The period function for centres of ODEs on the real plane.

Other scientific interests:

Delay differential equations. Notes of a lecture given at the Taller d'EDPs UPC/UAB and at Seminari de Sistemes Dinàmics UAB during the spring of 1997 (postscript).

Numerical methods for static and dynamic structures. Coauthor of the software Wincepla (). Ask me for a copy.

Function approximation with applications to neural networks. Related to this paper of E. Romero "Function Approximation in Hilbert Spaces: A General Sequential Method and a Particular Implementation with Neural Network"

Transformation of geodesic coordinates. Please ask me for a copy of my program of tranformation of UTM coordinates into Lambert and vice versa.

Links: groups...

Group of Dynamical Systems at UPC

Group of Dynamical Systems of UAB

Computational, Cognitive and Systems Neuroscience in Barcelona

...and activities

New Seminar Cycle on Computational and Systems Neuroscience, CRM.

Seminari de Biofísica/Biomatemàtica UPC

CRM Research Programme on Mathematical Biology: Modelling and Differential Equations

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