The Dynamical Systems and Complexity (DySCo) Group  is an interdisciplinary research team (founded in 2009) exploring the dynamical properties of complex dynamical systems. The scientific interests of the group span several fields of dynamical systems theory applied to biological dynamics, especially in the framework of chaotic systems. We are currently exploring theoretical models of epidemiology, complex ecosystems, virology and catalytic networks in cooperative systems. We are also investigating the so called multi-scroll chaotic attractors arising in nonlinear electronic circuits.

The philosophy of the group is to stablish a working platform for research colleagues worldwide interested in nonlinear dynamics and complex systems in physics, chemistry and biology.

People



Jorge Duarte, PhD
(ISEL)



Cristina Januário, PhD
(ISEL)



Nuno Martins, PhD
(IST)
Josep Sardanyés, PhD
(PRBB-CSL,ESVG)

josep



Research Lines

Cancer dynamics




Cell interaction models

Theoretical epidemiology





Theoretical virology


ha

Complementation

Cooperation in ecosystems



f

Cooperative hunting
Hypercycle networks

Stoichiometric chaos



att

Food-chain systems with stoichiometry

Electronic circuits


2scroll

Multi-scroll chaos generator circuits

Publications

  • Duarte J., Januário C., Martins N., and Sardanyés J., On chaos, transient chaos and ghosts in single population models with Allee effects, Nonlinear Analysis; Real World Applications 13 (2012) 1647-1661
  • Josep Sardanyés, Jorge Duarte, Cristina Januário, Nuno Martins, Topological entropy of catalytic sets: Hypercycles revisited, Commun Nonlinear Sci Numer Simulat 17 (2012) 795–803
  • Duarte J., Januário C., Martins N. and Sardanyés J., Symbolic dynamics and control in chaotic systems. Chapt. 1, p. 141 in Advanced Topics in Chaos Theory and Dynamics, (ed. E. Zeraoulia). Science Publishers (2011) (Book Chapter)
  • Duarte, J., Januário, C. and Martins, N., Sardanyés, J., Scaling law in saddle-node bifurcations for one dimensional maps: a complex variable approach, Nonlinear Dyn Volume 67, Number 1, 541-547 (2010) DOI: 10.1007/s11071-011-0004-8
  • Duarte, J., Januário, C. and Martins, Sardanyés, J., N. Quantifying chaos for ecological stoichiometry, CHAOS 20, 033105 (2010) (also selected to appear on the ‘Virtual Journal of Biological Physics Research’ (2010))
  • 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)