Publications
·
Baumslag-Solitar group
C*-algebras from interval maps, (with
C. Correia Ramos, Rachid El
Harti and Paulo R. Pinto). Banach Journal of
Mathematical Analysis 8 (2014), no. 1,
138-147.
·
On
C*-algebras from interval maps, (with C. Correia
Ramos and Paulo R. Pinto). Complex Analysis and Operator
Theory 7 (2013), no. 1, 221-235.
·
Orbit Representations from
Linear mod 1 Transformations, (with
C. Correia Ramos and Paulo R. Pinto). SIGMA Symmetry Integrability
Geom. Methods Appl. 8 (2012), Paper 029, 9 pp.
·
On chaos, transient chaos and
ghosts in single population models with Allee effects, (with J. Duarte, C. Januário
and J. Sardanyés). Nonlinear Analysis: Real World
Applications 13
(2012) 1647-1661.
·
Scaling law in saddle-node
bifurcations for one dimensional maps: a complex variable approach, (with J. Duarte, C. Januário
and J. Sardanyés). Nonlinear Dynamics 67 (2012), 541-547.
·
Topological entropy of
catalytic sets: Hypercycles revisited, (with J. Duarte, C. Januário
and J. Sardanyés). Commun. Nonlinear
Sci. Numer. Simul. 17 (2012) 795–803.
·
Controlling delayed transitions with
applications to prevent single species extinctions, (with
J. Duarte, C. Januário and J. Sardanyés). Adv. Differ. Equ.
Control Process. 10 (2012), no. 1, 29-41.
·
Iteration of quadratic maps
on matrix algebras, (with C.
Correia Ramos and A. Nascimento
Baptista). International Journal of Bifurcation and Chaos,
22 (2012), no. 6, 1250150, 7 pp.
·
Dynamics on certain sets of
stochastic matrices,
(with C. Correia Ramos and A. Nascimento Baptista). Nonlinear Dynamics 65
(2011), 301-310.
·
Interval maps from
Cuntz-Krieger algebras (with C. Correia
Ramos and Paulo R. Pinto). Journal of
Mathematical Analysis and Applications
374 (2011), Issue 2, 347-354.
·
Symbolic dynamics and
control in chaotic systems, (with J. Duarte, C. Januário
and J. Sardanyés). Chapt. 1, p. 141 in Advanced Topics in Chaos Theory and
Dynamics, (ed. E. Zeraoulia). Science Publishers
(2011).
·
Quantifying
chaos for ecological stoichiometry, (with J. Duarte, C. Januário and J. Sardanyés). Chaos 20 (2010), Issue 3, 033105, 9 pp.
·
Difference Equations on Matrix Algebras, (with C. Correia Ramos and A. Nascimento
Baptista). Discrete Dynamics and
Difference Equations (2010). World Scientific. Proceedings of the 12th International Conference on Difference
Equations, Special Functions and Applications.
·
Topological entropy and the controlled effect
of glucose in the electrical activity of pancreatic β-cells (with J. Duarte and C. Januário).
Physica D 238 (2009), 2129-2137.
·
Chaos and crises in a model for cooperative
hunting: A symbolic dynamics approach (with J. Duarte, C. Januário and J. Sardanyés). Chaos 19 (2009), Issue 4, 043102, 12 pp.
· Reciprocal inhibitory coupling: measure and control of chaos on a biophysically motivated model of bursting (with J. Duarte and C. Januário). Commun. Nonlinear Sci. Numer. Simul. 14 (2009), Issue 6, 2734-2746.
·
Discrete
potential theory for iterated maps of the interval (with C. Correia Ramos, R. Severino and J.
Sousa Ramos). Advanced Studies in
Pure Mathematics 53 (2009), 121-128, Advances in Discrete Dynamical Systems. Mathematical
Society of Japan, Tokyo.
·
Topological invariants in the study of a
chaotic food chain system
(with J. Duarte and C. Januário). Chaos 18 (2008), Issue 2, 023109, 9 pp. This paper has been selected for the May 1, 2008 issue of Virtual Journal of Biological Physics
Research.
·
Chaos in Ecology: The Topological Entropy of
a Tritrophic Food Chain Model (with J. Duarte and C. Januário).
Discrete Dynamics in Nature and
Society (2008) Art. ID 541683, 12 pp.
·
Orbit
representations and circle maps (with C. Correia
Ramos and Paulo R. Pinto). Operator
Theory: Advances and Applications
181 (2008), 417-427. Birkhäuser Verlag, Basel. Book Series.
·
Cuntz-Krieger
algebras representations from orbits of interval maps (with C. Correia Ramos, Paulo R. Pinto and J. Sousa Ramos). Journal of Mathematical Analysis and
Applications 341 (2008), Issue 2, 825-833.
·
Finite dimensional representations of
*-algebras arising from a quadratic map (with C. Correia Ramos and J. Sousa Ramos). Chaos Solitons
and Fractals 34 (4) (2007),
1202-1212.
·
Orbit
equivalence and von Neumann algebras for expansive interval maps (with C. Correia Ramos, Paulo R. Pinto and J. Sousa Ramos). Chaos
Solitons and Fractals 33 (1) (2007), 109-117.
·
Critical
groups for iterated maps (with C. Correia
Ramos, R. Severino and J. Sousa Ramos). Difference Equations, Special Functions and
Orthogonal Polynomials (2007)
610-616. World Scientific. Proceedings of the 10th International
Conference on Difference Equations, Special Functions and Applications.
·
Fock
representations for a quadratic commutation relation (with C. Correia Ramos and J. Sousa Ramos). Difference Equations, Special Functions and
Orthogonal Polynomials (2007)
537-546. World Scientific. Proceedings of the 10th International
Conference on Difference Equations, Special Functions and Applications.
·
Self-organized criticality in economy (with C. Correia
Ramos, R. Severino and J. Sousa Ramos). Proceedings of the Workshop: Perspectives
on Econophysics, Universidade de Évora
(2006), 75-86.
·
Orbit
equivalence and von Neumann algebras for piecewise linear unimodal
maps (with C. Correia Ramos, Paulo R. Pinto and J.
Sousa Ramos). Grazer Mathematische Berichte 350 (2006), 45-54.
·
Conductance
and noncommutative dynamical systems (with C. Correia Ramos and J. Sousa Ramos). Nonlinear Dynamics 44 (2006), 127-134.
·
Bowen-Franks
groups of reducible bimodal subshifts of finite type (with R. Severino
and J. Sousa Ramos). Linear
Algebra and its Applications 414
(1) (2006), 125-137.
·
Noncommutative
topological dynamics (with C. Correia Ramos,
R. Severino and J. Sousa Ramos). Chaos Solitons and Fractals 27 (1) (2006),
15-23.
·
Bowen-Franks groups associated with iterated
maps on the interval (with
R. Severino and J. Sousa Ramos). Grazer Mathematische
Berichte
346 (2004), 271-282.
·
Noncommutative
dimension associated with limit sets of Fuchsian
groups (with C. Correia Ramos and J. Sousa Ramos). Grazer Mathematische
Berichte
346 (2004), 81-90.
·
Bowen-Franks
groups associated with linear mod one transformations (with J. Sousa Ramos). International Journal of Bifurcation and
Chaos 13 (2003), 1997-2004.
·
Isentropic real cubic maps (with R. Severino and J. Sousa Ramos). International Journal
of Bifurcation and Chaos 13
(2003), 1701-1709.
·
Bowen-Franks groups for bimodal matrices (with R. Severino and J. Sousa Ramos). Journal of Difference Equations and Applications 9 (2003), 423-433.
·
K-theory for Cuntz-Krieger
algebras arising from real quadratic maps (with R. Severino and J. Sousa Ramos). International Journal of Mathematics and Mathematical Sciences 34 (2003),
2139-2146.
·
Cuntz-Krieger
algebras arising from linear mod one transformations (with J. Sousa Ramos). Fields Institute Communications 31, (2002), 265-273.