DYNSYSAPLL

DYNAMICAL SYSTEMS AND THEIR APPLICATIONS

 Coordinatore UNIVERSITATEA POLITEHNICA DIN TIMISOARA 

 Organization address address: PIATA VICTORIEI 2
city: TIMISOARA
postcode: 300006

contact info
Titolo: Dr.
Nome: Gheorghe
Cognome: Tigan
Email: send email
Telefono: 40757536511

 Nazionalità Coordinatore Romania [RO]
 Totale costo 500˙000 €
 EC contributo 500˙000 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2012-IRSES
 Funding Scheme MC-IRSES
 Anno di inizio 2012
 Periodo (anno-mese-giorno) 2012-10-01   -   2016-09-30

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITATEA POLITEHNICA DIN TIMISOARA

 Organization address address: PIATA VICTORIEI 2
city: TIMISOARA
postcode: 300006

contact info
Titolo: Dr.
Nome: Gheorghe
Cognome: Tigan
Email: send email
Telefono: 40757536511

RO (TIMISOARA) coordinator 117˙400.00
2    "UNIVERZA V MARIBORU, CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO P.O. ZAVOD"

 Organization address address: KREKOVA ULICA 2
city: MARIBOR
postcode: 2000

contact info
Titolo: Dr.
Nome: Valery G.
Cognome: Romanovski
Email: send email
Telefono: +386 2355350

SI (MARIBOR) participant 76˙800.00
3    UNIVERSITAT AUTONOMA DE BARCELONA

 Organization address address: Campus UAB -BELLATERRA- s/n
city: CERDANYOLA DEL VALLES
postcode: 8193

contact info
Titolo: Prof.
Nome: Jaume
Cognome: Llibre
Email: send email
Telefono: 34935811303

ES (CERDANYOLA DEL VALLES) participant 71˙400.00
4    UNIVERSITATEA DE VEST DIN TIMISOARA

 Organization address address: BD VASILE PARVAN 4
city: TIMISOARA
postcode: 300223

contact info
Titolo: Dr.
Nome: Stelian
Cognome: Mihalas
Email: send email
Telefono: 40256592120

RO (TIMISOARA) participant 65˙800.00
5    UNIVERSITATEA DIN CRAIOVA

 Organization address address: A. I. CUZA STREET 13
city: CRAIOVA
postcode: 200585

contact info
Titolo: Dr.
Nome: Dana
Cognome: Constantinescu
Email: send email
Telefono: 40746117070

RO (CRAIOVA) participant 47˙700.00
6    Institutul de Matematic? ?i Informatic? al Academiei de ?tiin?e a Moldovei

 Organization address address: Academiei Street 5
city: Chi?in?u
postcode: MD-2028

contact info
Titolo: Prof.
Nome: Alexandru
Cognome: Suba
Email: send email
Telefono: 37322727035

MD (Chi?in?u) participant 38˙100.00
7    State University of Moldova

 Organization address address: A.Mateevici 60
city: Chisinau
postcode: MD 2009

contact info
Titolo: Prof.
Nome: David
Cognome: Ceban
Email: send email
Telefono: 37322321756

MD (Chisinau) participant 25˙700.00
8    UNIVERZA V MARIBORU

 Organization address address: Slomskov trg 15
city: MARIBOR
postcode: 2000

contact info
Titolo: Prof.
Nome: Dushan
Cognome: Pagon
Email: send email
Telefono: 38622355602

SI (MARIBOR) participant 23˙200.00
9    UNIVERSITATEA DE STAT DIN TIRASPOL

 Organization address address: STR IABLOCIKIN GHENADIE 5
city: CHISINAU
postcode: 2069

contact info
Titolo: Dr.
Nome: Dumitru
Cognome: Cozma
Email: send email
Telefono: +373 022 754924

MD (CHISINAU) participant 21˙300.00
10    BUDAPESTI MUSZAKI ES GAZDASAGTUDOMANYI EGYETEM

 Organization address address: MUEGYETEM RAKPART 3
city: BUDAPEST
postcode: 1111

contact info
Titolo: Dr.
Nome: Levente A.
Cognome: Kovács
Email: send email
Telefono: 36702749948

HU (BUDAPEST) participant 12˙600.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

motions    asd    equations    invariant    preserving    mathematics    last    analytic    bone    neuroscience    plasma    model    continuous    physical    symmetries    bifurcations    respectively    fusion    limit    world    periodic    twist    differential    real    medicine    time    respect    dynsysapll    phenomena    scientists    wp    cycles    theory    vector    reaction    physics    diffusion    biological    classes    dynamical    models    us    fundamental    almost    mathematical   

 Obiettivo del progetto (Objective)

'The main objective of this project is to create fundamental understanding in dynamical systems theory and to apply this theory in formulating and analyzing real world models met especially in Neuroscience, Plasma Physics and Medicine. The specific objectives, tasks and methodology of this proposal are contained in the 5 WPs of the project. In WP1 we want to develop new methods for the center and isochronicity problems for analytic and non-analytic systems, study bifurcations of limit cycles and critical periods, including time-reversible systems with perturbations, and investigate reaction-diffusion and fractional differential equations. In WP2 we deal with the problem of integrability for some differential systems with invariant algebraic curves, classification of cubic systems with a given number of invariant lines, study global attractors of almost periodic dynamical systems and their topological structure, respectively, Levitan/Bohr almost periodic motions of differential/difference equations. The main objective of WP3 is to study dynamics of some classes of continuous and discontinuous vector fields, preserving, respectively, breaking some symmetries, study of their singularities and closed orbits for classes of piecewise linear vector fields. WP4 deals with Hamiltonian systems in Plasma Physics, twist and non-twist area preserving maps, further studies of a recent model proposed to study some phenomena occurring in the process of plasma’s fusion in Tokamaks, numerical methods, and the study of symmetries of certain kinds of k-cosymplectic Hamiltonians. The last WP tackles mathematical models in Neuroscience and Medicine. Firstly, we study several ODE-based and map-based neuronal models, survey in vivo results with respect to Autism Spectrum Disorder (ASD) and propose a model for ASD. Secondly, we study several approaches to mathematical models for diabetes. Finally, bone remodeling by means of convection-diffusion-reaction equations is our last task.'

Introduzione (Teaser)

The beauty of mathematics even for non-mathematicians lies in its ability to explain the world around us, to make the seemingly abstract more concrete. Advances in an important field of mathematics are providing a window on physical and biological systems.

Descrizione progetto (Article)

Mathematical formulae explain phenomena like why we do not float off the surface of the Earth and how a neuron fires an action potential to send a signal to another cell. The world around us is a smorgasbord of physical, chemical and biological systems whose evolution in time can often be described using dynamical systems theory.

Given its relevance to so many real-world scenarios, scientists launched the EU-funded DYNSYSAPLL (Dynamical systems and their applications) project to significantly advance dynamical systems theory and use it to gain insight into important phenomena in physics, neuroscience and medicine.

With respect to fundamental mathematics, scientists have tackled topics ranging from bifurcations of limit cycles and almost periodic motions to some classes of continuous and non-continuous vector fields. Numerous new results and simplified or more efficient approaches have been obtained, resulting in several publications in peer-reviewed scientific journals.

Researchers have also studied bifurcations of a model describing variation of plasma parameters in devices for controlled thermonuclear fusion. The model provides insight into the effects of changing parameters as they provide the basis for development of control strategies. Dynamical systems theory was also applied to harmonic oscillators, models of spiking behaviours in both single neurons and populations, and models of bone osteogenesis.

DYNSYSAPLL is creating fundamental knowledge and understanding in the field of dynamical systems theory and providing important insight into the workings of real-world systems. Along the way, it is providing fertile training ground for the researchers whom it supports.

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