Curriculum Vitae
PERSONAL AND INSTITUTIONAL DATA
Name: Jorge das Neves Duarte
Institutional address: ISEL – Engineering Superior Institute of Lisbon, Department of Mathematics, Rua Conselheiro
Emídio Navarro, 1949-014 Lisbon, Portugal
Email: [email protected]
QUALIFICATIONS / ACADEMIC DEGREES

July, 2006 – PhD in Mathematics, defended at University of Évora (UE), with the main supervision of
Professor José Sousa Ramos (Instituto Superior Técnico (IST), Technical University of Lisbon (UTL))

July, 2001 - Master of Science in Applied Mathematics, defended at Instituto Superior Técnico (IST),
Technical University of Lisbon (UTL), with the main supervision of Professor José Sousa Ramos (IST)

June, 1998 – Graduation in Mathematics (5-years degree), Faculty of Sciences of the University of Lisbon
(FCUL)
Certificates of Language courses
English – Advanced Level by International House London (London, England).
English – Mastery Stage by Wall Street Institute – School of English (Lisbon, Portugal).
PROFESSIONAL CAREER
Present positions:
•
Adjunt Professor at the Engineering Superior Institute of Lisbon (ISEL), Department of Mathematics, since
December 2003
•
Researcher of the Centre of Mathematical Analysis, Geometry and Dynamical Systems, Department of
Mathematics of the Instituto Superior Técnico
•
Member and one of the founders of the Dynamical Systems and Complexity (DySCo) Group
Past positions:
•
Assistant Professor at the Engineering Superior Institute of Lisbon (ISEL), Department of Mathematics, from
September 2000 to November 2003
•
Assistant Professor at the Superior Education School of Leiria (ESEL), from September 1999 to August
2000
POSITIONS OF ACADEMIC MANAGEMENT
Engineering Superior Institute of Lisbon
•
Since 2010 to Present – Member of the Coordinating Council of the Department of Mathematics
•
Since 2003 to 2009 - Member of the Scientific Council of ISEL
•
Since 2003 to 2009 – Member of the Scientific Committee of the Chemical Engineering Department (DEQ)
RESEARCH INTERESTS
Main area of research:
Differential Equations and Dynamical Systems
The application of mathematical concepts and methods is considered fundamental in the progress of
various areas of knowledge such as engineering, chemistry, physics, economics, biology, among others. The
issues raised in these areas are proving to be truly exciting, playing a key role in developing theories and new
branches of mathematics itself. A privileged area of mathematics, in terms of its conceptual richness and
applicability, is the theory of dynamical systems, both discrete and continuous. The theory of dynamical systems
integrates, in a harmonious and indispensable way, three major areas of mathematics: analysis, algebra and
geometry. The use of computational techniques is usually identified as a catalyst for the development of
nonlinear science, unveiling a structured nature behind the complexity. Exploring common structures in different
systems, scientists study in an interdisciplinary way the complexity of nature and society.
The scientific interests span several fields of dynamical systems theory applied to biological dynamics,
especially in the framework of chaotic systems – mainly the study of theoretical models of epidemiology, complex
ecosystems, virology and catalytic networks in cooperative systems.
MAIN PUBLICATIONS
Articles in international journals
[13] Sardanyés, J., Duarte, J., Januário, C. and Martins, N. Quantifying chaos for ecological stoichiometry,
CHAOS 20, 033105 (2010) (also selected to appear on the ‘Virtual Journal of Biological Physics Research’
(2010))
[12] Jorge Duarte, Cristina Januário, Nuno Martins and Josep Sardanyés, Chaos and crisis in a model of
cooperative hunting: a symbolic Dynamics approach, Chaos 19 043102 (2009)
[11] Jorge Duarte, Cristina Januário, Nuno Martins, Topological entropy and the controlled effect of glucose in
the electrical activity of pancreatic β-cells, Physica D 238 (2009), 2129-2137
[10] Cristina Januário, Clara Grácio, Diana A. Mendes and Jorge Duarte, Measuring and controlling the chaotic
motion of profits, Internat J Bifur Chaos, Vol 19, No. 11 (2009) 3593-3604
[9] Cristina Januário, Clara Grácio and Jorge Duarte, Measuring complexity in a business cycle model of the
Kaldor type, Chaos, Solitons & Fratals 42 (2009), 2890-2903
[8] Jorge Duarte, Cristina Januário and Nuno Martins, Reciprocal inhibitory coupling: Measure and control of
chaos on a biophysically motivated model of bursting, Commun Nonlinear Sci Numer Simulat 14 (2009)
2734–2746
[7] Jorge Duarte, Cristina Januário and Nuno Martins, Chaos in ecology: the topological entropy of a tritrophic
food chain model, Discrete Dynamics in Nature and Society doi: 10.1155/2008/541683 (2008)
[6] Jorge Duarte, Cristina Januário and Nuno Martins, Topological invariants in the study of a chaotic food chain
system, Chaos 18 023109 (2008) (also selected to appear on the ‘Virtual Journal of Biological Physics
Research’, Vol. 15, Issue 9 (2008))
[5] Jorge Duarte, Luis Silva and J. Sousa Ramos, Computation of the topological entropy in chaotic biophysical
bursting models for excitable cells, Discrete Dynamics in Nature and Society 60918 (2006), 1-18
[4] Jorge Duarte, Luis Silva and J. Sousa Ramos, The influence of coupling on chaotic maps modelling bursting
cells, Chaos, Solitons & Fratals 28 (2006), 1314-1326
[3] Jorge Duarte, Luis Silva and J. Sousa Ramos, Types of bifurcations of FitzHugh-Nagumo maps, Nonlinear
Dynamics 44 (2006), 231-242
[2] Jorge Duarte, J. S. Ramos, Topological invariants in forced piecewise-linear Fitzhugh-Nagumo-like systems,
Chaos, Solitons & Fratals 23 (2005), 1553-1565
[1] Jorge Duarte, J. S. Ramos, Topological Entropy as a Measure of Chaos in Forced Excitable Systems, Int. J.
Pure Appl. Math. 4 (2003), no. 2, 165-180
Articles in proceedings of international conferences
[2] Jorge Duarte, Luís Silva and J. Sousa Ramos, Low-dimensional dynamics of cardiac arrhythmias, Proc. of
the ECIT2004 - European Conference on Iteration Theory - August 29 – September 04, 2004 – Batschuns,
Austria (2006)
[1] Jorge Duarte, Luís Silva and J. Sousa Ramos, Symbolic dynamics in the study of bursting electrical activity,
in Difference Equations and Discrete Dynamical Systems, Proc. Of the 9th Int. Conference (University of
Southern California), Los Angeles (USA), 2-7 August 2004 (World Scientific, 336pp Pub. Date: October 2005)
Thesis
•
Jorge Duarte, Chaotic Behaviour in Physiological Systems, PhD Thesis, UE (2006)
•
Jorge Duarte, Harmonic Solutions and Chaos in the Fitzhugh-Nagumo System Under a Periodic Stimulus,
Master of Science Thesis, IST (2001)
CONFERENCES
[17] RIMM-2010 First International Workshop on The Role and Impact of Mathematics in Medicine Henri
Poincaré Institute, Paris, June 10-12, 2010, France
[16] Jorge Duarte, Measure and control of transient chaos in a food chain model, The 8th AIMS Conference on
Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, May 25 28, 2010, Dresden , Germany.
(With Cristina Januário, Nuno Martins and Josep Sardanyés)
[15] Jorge Duarte, Chaos and crises in a model for cooperative hunting, Second International Workshop-School,
‘Chaos and Dynamics in Biological Networks', Ecole thématique du CNRS, The Institut d'Etudes
Scientifiques de Cargèse Corsica, May 3 - 8, 2010 – France.
(With Cristina Januário, Nuno Martins and Josep Sardanyés)
[14] Jorge Duarte, A chaos generating mechanism and topological entropy in the study of a chaotic food chain
system, BICS Conference Multiply Structured Populations in Biology, 1 – 3 July 2009, University of Bath,
England, U.K. (With Cristina Januário and Nuno Martins)
[13] Jorge Duarte, Symbolic dynamics and topological entropy in the study of a chaotic food chain system,
invited Seminar at the Barcelona Biomedical Research Park – 14th November, 2008, Barcelona, Spain. (With
Cristina Januário and Nuno Martins)
[12] Topological entropy and the controlled motion of profits in a chaotic economic model, DYNA2008 Dynamics and Applications - September 8 - 12, 2008, Universidade do Minho, Braga, Portugal. (With
Cristina Januário, Diana A. Mendes and Clara Grácio)
[11] The chaotic motion of profits in a structure of a firm: measure and control, European Conference on Iteration
Theory, September 7 – 13, 2008, Yalta, Ukraine. (With Diana A. Mendes, Cristina Januário and Clara
Grácio)
[10] Jorge Duarte, Ecological complexity: evaluation and control of stoichiometric chaos, ECMTB08- European
Conference on Mathematical and Theoretical Biology - 29th June - 4th July, 2008, Edinburgh, Scotland
(U.K). (With Cristina Januário and Nuno Martins)
[9] Jorge Duarte, Ecological complexity: Chaos in a three species food chain model, Nonlinear Dynamics and
Chaos: Advances and Perspectives - September 17 - 21, 2007, Aberdeen, Scotland (U.K). (With Cristina
Januário and Nuno Martins)
[8] Jorge Duarte, Low-dimensional dynamics of a chaotic food chain model, NEEDS 2007 – Nonlinear Evolution
and Dynamical Systems - June 16 - 23, L’Ametlla de Mar, 2007, Barcelona, Spain. (With Cristina Januário
and Nuno Martins)
[7] Jorge Duarte, The effect of coupling on identical bursting cells, ICDEA 2005 – International Conference on
Difference Equations and Applications - July 25 - 30, 2005, Munich, Germany. (With J. Sousa Ramos)
[6] Jorge Duarte, Computation of the topological entropy in chaotic biophysical bursting models for excitable
cells, ECMTB 2005 - European Conference on Mathematical and Theoretical Biology - July 18 - 22, 2005,
Dresden, Germany. (With J. Sousa Ramos)
[5] Jorge Duarte, Low-dimensional dynamics of cardiac arrhythmias, ECIT2004 - European Conference on
Iteration Theory - August 29 – September 04, 2004, Batschuns, Austria. (With J. Sousa Ramos)
[4] Jorge Duarte, Symbolic dynamics in the study of bursting electrical activity, 9th International Conference on
Difference Equations and Applications, University of Southern California, Los Angeles, August 2 - 6, 2004,
California (USA). (With J. Sousa Ramos)
[3] Jorge Duarte, Bifurcations associated with the Fitzhugh-Nagumo equations NDES2004 – 12th International
IEEE Workshop on Nonlinear Dynamics of Electronic Systems – Centro de Geofísica, Universidade de
Évora, 9-13 May 2004, Évora, Portugal. (With J. Sousa Ramos)
[2] Jorge Duarte, Discrete Dynamics of the Fitzhugh-Nagumo Systems, XIV International Congress on
Mathematical Physics, July 28 – August 2, 2003, Lisbon, Portugal. (With J. Sousa Ramos)
[1] Jorge Duarte, Topological invariants in forced piecewise-linear Fitzhugh-Nagumo-like systems, International
Conference – Dynamical Systems, University of North Texas, May 25 – 29, 2003, Denton (USA). (With J.
Sousa Ramos)
INTERNATIONAL COURSES AND WORKSHOPS
•
Biomathematics Euro Summer School – Dynamical Systems in Physiology and Medicine, organized by the
European Society of Mathematical and Theoretical Biology, Urbino (Italy), July 8th-19th, 2002
•
VIII Jornadas Andaluzas de Educação Matemática - "Thales", Universidad de Jaen (Spain) September,
1998
INVITED RESEARCH STAYS IN INTERNATIONAL CENTRES
•
Barcelona Biomedical Research Park, Complex Systems Lab, Barcelona (Spain), November 13th-15th, 2008
•
Barcelona Biomedical Research Park, Complex Systems Lab, Barcelona (Spain), April 9th-14th, 2009
•
Barcelona Biomedical Research Park, Complex Systems Lab, Barcelona (Spain), June 5th-7th, 2009
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), November 13th-15th, 2009
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), February 4th-8th, 2010
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), May 13th-16th, 2010
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), July 19th-22nd, 2010
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), September 14th-18th, 2010
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), November 25th-29th, 2010
•
Instituto de Biologia Molecular y Celular de Plantas, Centro Superior de Investigaciones CientíficasUniversitat Politècnica de València (UPV) Valencia (Spain), January 20th-23th, 2011
SUPERVISED PhD THESIS
•
Carla Cristina Morbey Rodrigues (University of Évora) (Began in 2010)
Thesis Co-supervised together with Carlos Correia Ramos (University of Évora) and Josep Sardanyés
(Universitat Politècnica de València)
MEMBER OF PhD THESIS JURIES
•
João M. Cabral, Analitical and symbolic study of bifurcations for the family of maps of degree two,
Department of Mathematics, University of Azores, October 16th, 2009
REFEREE FOR INTERNATIONAL SCIENTIFIC JOURNALS
•
Referee for the following Journals:
- Chaos: an Interdisciplinary Journal of Nonlinear Science
- Simulations Modeling Practice and Theory
PROFESSIONAL MEMBERSHIPS
•
Member of the Portuguese Society of Mathematics (SPM)
•
Member of the European Society for Mathematical and Theoretical Biology (ESMTB)
Last modification in January 2011