Publications:

 

  1. Window of Chaotic Delayed Synchronization, (with Lopes, L.M. and Fernandes, S.), Journal of Physics: Conference Series 692, 11p, (2016).

 

  1. Complete synchronization and delayed synchronization in couplings, (with Lopes, L.M. and Fernandes, S.), Nonlinear Dynamics, Vol.79, Isr2. Springer, pp: 1615-1624, (2015). 

 

  1. Systoles on compact Riemann surfaces with symbolic dynamics”, Nonlinear maps and their applications, Springer Proc. Math. Stat., 112, Springer, pp: 269-288, (2015).

 

  1. .José Rodrigues Santos de Sousa Ramos (1948-2007): The diversity of dynamical systems”, (with Balibrea F. and Guirao, J.L.G), Applied Mathematics and Information Sciences, Volume 9, No. 5, pp: 2217-2219, (2015).

 

  1. Spectral and Dynamical Invariants in a Complete Clustered Network, (with Rocha, J.L., Fernandes, S. and Caneco, A.), Applied Mathematics and Information Sciences, Volume 9, No. 5, pp: 2367-2376, (2015).

 

  1.  Similarity of Sousa Ramos’s Trees and Mira’s Boxes Within the Boxes, (with Baptista, D, Fournier-Prunaret, D., and Fernandes, S.), Applied Mathematics and Information Sciences, Volume 9, No. 5, pp: 2417-2428, (2015).

 

  1. Windows of Synchronization” and ”Non-chaotic Windows, (with Luís, L.M. and Fernandes, S.), ESAIM: Proc. 46, pp: 163-176 (2014).

 

  1. Cycle statistics in complex networks and Ihara’s Zeta function, with Coolen, A. C.C. and Annibale, A.), Nonlinear maps and their applications. Springer Proceedings in Mathematics & Statistics 57, pp: 81-94, (2014).

 

  1. Synchronization and basins of synchronized states in two-dimensional piecewise maps via coupling three pieces of one-dimensional maps, (with Fournier-Prunaret, D., Rocha, J.L., Caneco, A. and Fernandes, S.), International Journal of Bifurcation and Chaos, Nº8, Vol. 23, (2013).

 

  1. Systoles in Discrete Dynamical Systems, (with Fernandes, S. and Correia Ramos, C.), Journal of Geometry and Physics 63, pp: 129–139, (2013).

 

  1. .Some Conjectures about Synchronizability and the Topology of Networks, (with Caneco, A.; Fernandes, S. and Rocha, J.L.) in Zeraoulia, Elhadj (ed.) et al., Frontiers in the study of chaotic dynamical systems with open problems. Hackensack, NJ: World Scientific Series on Nonlinear Science. Series B, pp: 117-147, (2011).

 

  1. Isentropic dynamics and control in an economic model for capital accumulation, (with Januário, C., Mendes, D. and Duarte, J.), Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science II, Springer Proceedings in Mathematics 2, pp: 429-448, (2011).

 

  1. Networks synchronizability, local dynamics and some graph invariants, (with Caneco, A.; Fernandes, S. and Rocha, J.L.) Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science I, Springer Proceedings in Mathematics 1, pp: 221-238, (2011).

 

  1. Geodesic length spectrum on compact Riemann surfaces, (with Sousa Ramos, J.), J. Geom. Phys., 60, No. 11, pp: 1643-1655, (2010).

 

  1. Chaotic synchronization of Piecewise Linear Maps, (with Caneco, A. and Rocha, J.L.), Elaydi, Saber (ed.) et al., Discrete dynamics and difference equations. Proceedings of the twelfth international conference on difference equations and applications (ICDEA), Hackensack, NJ: World Scientific pp: 214-222 (2010).

 

  1. Conductance in Discrete Dynamical Systems, (with Fernandes, S. and Correia Ramos, C.), Nonlinear Dyn. 61, No. 3, pp: 435-442, (2010).

 

  1. Measuring complexity in a business cycle model of the Kaldor type, (with Januário, C. and Duarte, J.), Chaos Solitons Fractals 42, No. 5, pp: 2890-2903 (2009).

 

  1. Kneading theory analysis of the Duffing equation, (with Acilina Caneco, A. and Rocha, J.L.), Chaos Solitons Fractals 42, No. 3, pp: 1529-1538 (2009).

 

  1. Synchronizability and Graph Invariants, (with Caneco, A., Fernandes, S., Rocha, J.L. and Correia Ramos, C.), ISAST Transactions on Computers and Intelligent Systems, No 2, Vol 1, 47-52, (2009).

 

  1. Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators, (with Acilina Caneco, A. and Rocha, J.L.), Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 11, 3855-3868 (2009).

 

  1. Conditions for the formation of clusters depending on the conductance and the coefficient of clustering, (with Caneco, A., Fernandes, S., Rocha, J.L. and Correia Ramos, C.),  2009 2nd International Workshop on Nonlinear Dynamics and Synchronization, pp: 12-16, IEEE Conference Publications, (2009)

 

  1. Measuring and controlling the chaotic motion of profits, (with Januário, C., Mendes, D. and Duarte, J.), Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 11, pp: 3593-3604 (2009).

 

  1. Relationship between the behavior of entropy, the conductance and the coefficient of clustering of networks using symbolic dynamics” (with Caneco, A., Correia Ramos, C., Fernandes, S. and Rocha, J.L.), Proceedings of the IEEE Workshop on Nonlinear Maps and Applications  (NOMA09), Italy, pp: 81-86, (2009).

 

  1. Symbolic Dynamics and chaotic synchronization in coupled Duffing oscillators, (with Caneco, A. and Rocha, J.L.), Journal of Nonlinear Mathematical Physics, nº15 -3, pp: 102 – 111, (2008).

 

  1. Laplacians and the Cheeger constants for discrete dynamical systems, (with Fernandes, S. and Sousa Ramos, J.), Difference equations, special functions and orthogonal polynomials, World Sci. Publ., Hackensack, NJ, pp: 213-223, (2007).

 

 

  1. Symbolic Dynamics and Networks Synchronization, (with Caneco, A., Fernandes, S. and Rocha, J.L.), Proceedings of the IEEE Workshop on NonLinear Maps and Applications (NOMA07), France, pp: 44-47, (2007).

 

  1. Chaotic behavior in a two-dimensional business cycle model, (with Januário, C. and Sousa Ramos, J.), Difference equations, special functions and orthogonal polynomials, World Sci. Publ., Hackensack, NJ, pp: 294-304, (2007).

 

  1. The first eigenvalue of the Laplacian and the Conductance of a Compact surface, (with Sousa Ramos, J.), Nonlinear Dyn. 44, No. 1-4, pp: 243-250 (2006).

 

  1. Spectrum of the Laplacian on hyperbolic Surfaces, (with Sousa Ramos, J.), Grazer Math. Ber. 350, pp: 122-134 (2006).

 

 

  1. The first eigenvalue of the Laplacian and the ground flow of a compact surface, (with Sousa Ramos, J.), Proceedings of the conference NDES2004, pp: 170-173, (2006).

 

  1. Chaotic behavior in an economic model, (with Januário, C. and Sousa Ramos, J.), Proceedings of the Workshop Perspectives on Econophysics, pp: 99-109, (2006).

 

  1. Rigidity and flexibility of surface groups, (with Sousa Ramos, J.), Grazer Math. Ber. 346, pp: 157-168 (2004).

 

  1. Boundary maps and Fenchel-Nielsen coordinates, (with Sousa Ramos, J.), Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, pp: 1949-1958 (2003).

 

  1. On the embedding of a (p-1)-dimensional non invertible map into a p-dimensional invertible map, (with Mira, C.), Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, 1787-1810 (2003).

 

  1. Symbolic Dynamics and Hyperbolic Groups, (with Sousa Ramos, J.), Grazer Math. Ber. 339, pp: 195-206, (1999).