- Dynamical systems: Pseudo-Anosov diffeomorphisms, Explosion of smoothness, Tilings, Geometric measures, Hénon maps
- Mathematical Physics: Galileus pendulum
- Industrial organization: Oligopoly theory (Country protecting policies, Leadership and uncertainty), R&D strategies (Use of patents, Joint ventures), Mergers in Hotelling Networks, Behavioral Dynamics, Consumer Behaviour and Dynamics
- Game theory: Signalling games,

# Dynamical Systems, Game Theory and Mathematical Finances

**Members:**

**PhD's involved:**** **Alberto Pinto, Bruno Oliveira, Helena Ferreira, João Paulo Almeida, José Goveia Martins, Luís Miguel Ferreira, Rui GonçalvesCollaborators:

**PhD students:**

*to be completed*

**Research Lines:**

.

**Selected Publications:**

2015

- Alvarez-Mozos, M; Ferreira, F; Alonso-Meijide, JM;
**Pinto, AA**; Characterizations of power indices based on null player free winning coalitions,*Optimization,*Vol. 64 (3) pp. 12, 2015 - Ferreira, FA; Ferreira, F; Ferreira, M;
**Pinto, AA**; Flexibility in a Stackelberg leadership with differentiated goods,*Optimization,*Vol. 64 (4), pp. 17, 2015

- De Carvalho, C; Peixoto, MM; Pinheiro, D;
**Pinto, AA**; An asymptotic universal focal decomposition for non-isochronous potentials,*Transactions of the American Mathematical Society,*Vol. 366 (4) pp. 37, 2014 - Alves, JF; Pinheiro, V;
**Pinto, AA**; Explosion of smoothness for conjugacies between multimodal maps,*Journal of the London Mathematical Society,*Vol. 89 (1) pp. 20, 2014 - Duarte, I; Pinheiro, D;
**Pinto, AA**; Pliska, SR; Optimal life insurance purchase, consumption and investment on a financial market with multi-dimensional diffusive terms,*Optimization,*Vol. 63 (11) pp. 24, 2014 - Rosario, R; Araujo, A;
**Oliveira, B**; et al; Impact of an intervention through teachers to prevent consumption of low nutrition, energy-dense foods and beverages: A randomized trial,*PREVENTIVE MEDICINE*, Vol. 57 (1) pp. 6, 2013 - Poínhos, R;
**Oliveira, BMPM**; Correia, F; Eating behaviour patterns and BMI in Portuguese higher education students,*Appetite,*Vol. 71 pp. 7, 2013 - De Morais, C;
**Oliveira, B**; Afonso, C; Lumbers, M; Raats, M; De Almeida, MDV; Nutritional risk of European elderly,*European Journal of Clinical Nutrition,*Vol. 67 (11) pp. 5, 2013 - Poinhos, R; Canelas, H;
**Oliveira, BMPM**; Correia, F; Development and Validation of a Food Self-efficacy Scale,*Annals of Nutrition and Metabolism*, Vol. 63 pp 2, 2013 - Morais, C; Afonso, C;
**Oliveira, B**; Lumbers, M; Raats, M; Almeida, MDV; HEALTH-RELATED QUALITY OF LIFE AND FOOD VARIETY OF EUROPEAN ELDERLY,*ANNALS OF NUTRITION AND METABOLISM,*Vol. 63 pp. 1, 2013 - Pinheiro, D;
**Pinto, AA**; Xanthopoulos, SZ; Yannacopoulos, AN; A projected gradient dynamical system modelling the dynamics of bargaining,*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS*, Vol. 19 (1) pp. 37, 2013 - Becker, J; Ferreira, M;
**Oliveira, BMPM**;**Pinto, AA**; R&D DYNAMICS,*DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (SUPPL.),*pp. 8, 2013 **Almeida, JP**; Fisher, AM;**Pinto, AA**; Rand, DA; ANOSOV DIFFEOMORPHISMS,*DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, (SUPPL.)*pp. 9, 2013- Álvarez-Mozos, M; Ferreira, F; Alonso-Meijide, JM;
**Pinto, AA**; Characterizations of power indices based on null player free winning coalitions, Optimiz*a*tion, 2013 - Ferreira, FA; Ferreira, F;
**Ferreira, M**;**Pinto, AA**; Flexibility in a Stackelberg leadership with differentiated goods, Optimization, 2013

**Pinto, AA**;**Ferreira, M**; Finkenstadt, BF;**Oliveira, B**; Yannacopoulos, AN; On the convergence to Walrasian prices in random matching Edgeworthian economies, C*ENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH,*Vol. 20 (3) pp. 11, 2012**Pinto, AA**;**Almeida, JP**; Portela, A; GOLDEN TILINGS, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 364, (5), pp. 20, 2012**Martins, J**;**Pinto, A**; Stollenwerk, N; Stationarity in moment closure and quasi-stationarity of the SIS model, MATHEMATICAL BIOSCIENCES, Vol. 236 (2) pp. 6, 2012- Ferreira, M; Figueiredo, IP;
**Oliveira, BMPM**;**Pinto, AA**; Strategic optimization in R&D investment, OPTIMIZATION, Vol. 61 (8) pp. 11, 2012 - Sousa, B;
**Oliveira, BMPM**; De Almeida, MDV; Growth trends in boys and girls (10-17 years-old) from autonomous region of Madeira, Portugal between 1996-1998 and 2007-2009, ANNALS OF HUMAN BIOLOGY, Vol. 39 (6) pp. 4, 2012 - Rosario, R;
**Oliveira, B**; et al; The Impact of an Intervention Taught by Trained Teachers on Childhood Overweight, INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, Vol. 9 (4) pp. 13, 2012 - Rosário, R; Araújo, A;
**Oliveira, B**; et al; The impact of an intervention taught by trained teachers on childhood fruit and vegetable intake: A randomized trial, Journal of Obesity, Vol. 2012, 2012 - Aguiar, M; Kooi, BW;
**Martins, J**; Stollenwerk, N; Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics, MATHEMATICAL MODELLING OF NATURAL PHENOMENA, Vol. 7 (3) pp. 11, 2012 - Romao, X;
**Goncalves, R**; Costa, A; Delgado, R; Evaluation of the EC8-3 confidence factors for the characterization of concrete strength in existing structures, MATERIALS AND STRUCTURES, Vol. 45 (11) pp. 22, 2012 - Romao, X;
**Goncalves, R**; Costa, A; Delgado, R; Erratum: Evaluation of the EC8-3 confidence factors for the characterization of concrete strength in existing structures (Materials and Structures DOI:10.1617/s11527-012-9868-4), Materials and Structures/Materiaux et Constructions, Vol. 45 (11) pp. 1, 2012

2011

- Alonso-Meijide, JM; Ferreira, F; Alvarez-Mozos, M;
**Pinto, AA**; Two new power indices based on winning coalitions,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 6, 2011 - Alves, JF; Pinheiro, V;
**Pinto, AA**; Explosion of Smoothness for Conjugacies Between Unimodal Maps, International Conference DYNA 2008, Vol. 2 pp. 5, 2011

- De Carvalho, CAA; Peixoto, M; Pinheiro, D;
**Pinto, AA**; Focal decomposition, renormalization and semiclassical physics,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 11, 2011 **Goncalves, R**;**Ferreira, H**;**Pinto, AA**; Universality in the stock exchange market,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 15, 2011**Pinto, AA**; Rand, DA; Uniformly hyperbolic diffeomorphisms in every surfaces,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 17, 2011- Almeida, L; Cruz, J;
**Ferreira, H**;**Pinto, AA**; Bayesian-Nash equilibria in theory of planned behavior,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 9, 2011 - Boukas, L; Pinheiro, D;
**Pinto, AA**; Xanthopoulos, SZ; Yannacopoulos, AN; Behavioural and dynamical scenarios for contingent claims valuation in incomplete markets,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 20, 2011 - Burroughs, NJ;
**Oliveira, BMPM**;**Pinto, AA**;**Ferreira, M**; Immune response Dynamics,*Mathematical and Computer Modelling*, Vol. 53 (7-8) pp. 10, 2011 - Burroughs, NJ;
**Ferreira, M**;**Oliveira, BMPM**;**Pinto, AA**; Autoimmunity arising from bystander proliferation of T cells in an immune response model,*Mathematical and Computer Modelling*, Vol. 53 (7-8) pp. 5, 2011 - Burroughs, NJ;
**Ferreira, M**;**Oliveira, BMPM**;**Pinto, AA**; A transcritical bifurcation in an immune response model,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 6, 2011 **Martins, J**; Aguiar, M;**Pinto, A**; Stollenwerk, N; On the series expansion of the spatial SIS evolution operator,*Journal of Difference Equations and Applications*, Vol. 17 (7) pp. 12, 2011**Goncalves, R**;**Pinto, AA**; A Stochastic Model for Wolf's Sunspot Number, International Conference DYNA 2008, Vol. 2 pp. 9, 2011**Pinto, AA**; Faias, M; Mousa, AS; Resort Pricing and Bankruptcy, International Conference DYNA 2008, Vol. 2, pp. 7, 2011- De Carvalho, CAA; Peixoto, MM; Pinheiro, D;
**Pinto, AA**; Renormalization and Focal Decomposition, International Conference DYNA 2008, Vol. 2, pp. 16, 2011 - Ferreira, M; Oliveira, BMPM;
**Pinto, AA**; Bankruptcy Boundaries Determined by Patents, International Conference DYNA 2008, Vol. 2 pp. 26, 2011 - Banik, N; Ferreira, FA; Martins, J;
**Pinto, AA**; An Economical Model For Dumping by Dumping in a Cournot Model, International Conference DYNA 2008, Vol. 2 pp. 13, 2011 - Alonso-Meijide, JM; Ferreira, F; Alvarez-Mozos, M;
**Pinto, AA**; Power Indices Applied to Portuguese Parliament, International Conference DYNA 2008, Vol. 2 pp. 9, 2011 - Peixoto, MM;
**Pinto, AA**; Rand, DA; Dynamics, Games and Science II: DYNA 2008, in Honor of Mauricio Peixoto and David Rand, University of Minho, Braga, Portugal, September 8-12, 2008,*Springer Proceedings in Mathematics*, Vol. 2, 2011 - Leal, FMD;
**De Oliveira, BMPM**; Rodrigues, SSP; Relationship between cooking habits and skills and Mediterranean diet in a sample of Portuguese adolescents,*Perspectives in Public Health*, Vol. 131 (6) pp. 5, 2011 - Pedrosa, C;
**Oliveira, BMPM**; Albuquerque, I; Simoes-Pereira, C; Vaz-De-Almeida, MD; Correia, F; Markers of metabolic syndrome in obese children before and after 1-year lifestyle intervention program,*European Journal of Nutrition*, Vol. 50 (6) pp. 10, 2011 - Pedrosa, C; Correia, F; Seabra, D;
**Oliveira, BMPM**; Simoes-Pereira, C; Vaz-De-Almeida, MD; Prevalence of overweight and obesity among 7-9-year-old children in Aveiro, Portugal: comparison between IOTF and CDC references,*Public Health Nutrition*, Vol. 14 (1) pp. 6, 2011 - Gaspar, MJM; Amaral, TF;
**Oliveira, BMPM**; Borges, N; Protective effect of physical activity on dissatisfaction with body image in children - A cross-sectional study,*Psychology of Sport and Exercise*, Vol. 12 (5) pp. 7, 2011 - Santos, D;
**Oliveira, B**; Rodrigues, S; Almeida, M; Diet quality and household food expenses in Portuguese elderly,*Annals of Nutrition and Metabolism*, Vol. 58 pp. 2, 2011 - Pedrosa, C;
**Oliveira, BMPM**; Albuquerque, I; Simoes-Pereira, C; Vaz-De-Almeida, M; Correia, F; Metabolic syndrome, adipokines and ghrelin in overweight and obese schoolchildren: results of a 1-year lifestyle intervention program,*European Journal of Pediatrics*, Vol. 170 (4) pp. 10, 2011 - Carvalho, P;
**Oliveira, B**; Barros, R; Padrao, P; Moreira, P; Teixeira, VH; Impact of Fluid Restriction and ad Libitum Water Intake or an 8% Carbohydrate-Electrolyte Beverage on Skill Performance of Elite Adolescent Basketball Players,*International Journal of Sport Nutrition and Exercise Metabolism*, Vol. 21 (3) pp. 8, 2011 - De Morais, C; Afonso, C;
**Oliveira, B**; De Almeida, MV; Assessment of weekly food variety of consumption by two different instruments in Portuguese elderly,*Annals of Nutrition and Metabolism*, Vol. 58 pp. 1, 2011