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).

 

 

 

Editor

 

 

Nonlinear Maps and their Applications, Book of Selected Contributions researchers from the NOMA’13 International Workshop,

Gracio, C., Fournier-Prunaret, D., Ueta, T., Nishio, Y (Eds.).

Volume published in the series PROMS, Springer Proceedings in Mathematics & Statistics, vol. 112, 288 p., 1st Edition in March 2015.

 

Nonlinear Maps and their Applications, Book of Selected Contributions researchers from the NOMA’11 International Workshop,

López-Ruiz, Fournier-Prunaret, Nishio & Grácio (Eds.).

Volume published in the series PROMS, Springer Proceedings in Mathematics & Statistics, vol. 57, 166 p., 1st Edition in 2014.

 

 

 

 

 

 

 

Member of Organizing and Scientific Committees

 

 

Member of the Organizing Committee of the 6rd Dynamic Day - Multidisciplinary Seminar José Sousa Ramos, at the University of Évora on June 15, 2016, Portugal.

 

Member of the Scientific Committee of the Workshop on Nonlinear Maps and Their Applications, NOMA 2015 Dublin, Ireland.

 

Member of the Scientific Committee of the Workshop on Nonlinear Maps and Their Applications, NOMA 2013 Zaragoza, Spain.

 

Organizer of the Thematic Session Synchronization and Discrete Dynamics,

DGS II 2013 - International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, Lisbon, Portugal, 28 August to 6 September 2013.

 

Member of the Organizing Committee of the 4rd Dynamic Day - Multidisciplinary Seminar José Sousa Ramos, at the University of Évora on April 18, 2012.

 

Member of the Scientific Committee of the International Conference Workshop on Nonlinear Maps and Their Applications (NOMA'11).

 

Member of the Organizing Committee of the 3rd Dynamic Day - Multidisciplinary Seminar José Sousa Ramos, at the University of Évora on May 13, 2011.

 

Chairman of the International Workshop on Nonlinear Maps and Their Applications (NOMA'11), Évora Portugal, September 15-16,  2011.

 

Member of the Organizing Committee of the 1st Dynamic Day - Multidisciplinary José Sousa Ramos Seminar, entitled "Research on kneading theory and applications" at the University of Évora on 11 March 2010.

 

Member of the Organizing Committee of the 14th European Conference on Iteration Theory (ECIT 2002) Évora (Portugal), September 2-7, 2002.

 

Member of the Organizing Committee of the XV Luso-Spanish Conference on Mathematics, Évora, September 3-7 1990.

 

 

 

 

Talks by invitation:

 

2015-Contribution of the theory of dynamic networks in the study of the evolution of a city, (with Rodrigues, P., Nogueira, P. and Simplício, D.), June, 24, Seminary ISCTE, Lisboa, Portugal.

 

2014-Applications of the theory of Ihara zeta function in bio-medicine - the case of

protein interaction networks, Nolineal 2014, June,6,  Badajoz, España.

 

2013-Ihara zeta function, symbolic dynamics and seismic events networks, International Conference Planet Earth, Dynamics, Games and Science, DGS, September, 2, Lisboa, Portugal.

 

2010-Cycles versus Orbits, Symbolic dynamics and graphs, July, 12, King’s College London, United Kingdom.

 

2010-The systole in piecewise linear noncontinuous maps, (with Fernandes, S. and Correia Ramos, C.), International Conference on Modeling, Optimization and Dynamics, July 2010, Porto, Portugal.

 

2010-Background on Dynamical Systems group work, May, 24, Kings College London, United Kingdom.

 

2005-The modified Hicksian Business Model for two regions, (with Januário, C.), June, 11, Conferência Keynesian Macrodynamics - the Multiplier-Accelerator Model Revisited, Umeå Folkets Hus conference centre, Umea, Sweden.

 

2000-Fórmula do traço de Selberg, Seminary CIMA-UE and Matemathics Department, April, 27, Évora, Portugal.

 

1999-La dynamique a trois dimensions, July, 7, INSA-DGEI, Toulouse, France.

 

1998-Lien entre la méchanique classique et la méchanique quantique, Novembre, 23, INSA-DGEI, Toulouse, France.

 

1998-Fórmula do traço de Selberg II, January, 30, Dynamical Systems Seminary, IST, Lisboa, Portugal.

 

1998-Fórmula do traço de Selberg I, January, 23, Dynamical Systems Seminary, IST, Lisboa, Portugal.

 

1997-Dinâmica simbólica e geometria hiperbólica, Seminary – University of Évora, Portugal.

 

1996- Dinâmica simbólica para o fluxo geodésico nas superfícies hiperbólicas, Seminar on Dynamical Systems and Continuum Mechanics, December 20, IST, Lisboa, Portugal.

 

1993-Quantificação de Sistemas Dinâmicos Hiperbólicos, July 27, Seminar on Differential Equations and Partial Derivative, CMAF, Lisboa, Portugal.

 

 

 

Other talks

 

 

2016-Searching for complexity in the HUMAN PUPILLARY LIGHT REFLEX, Clara Grácio, (with Laureano, R., Mendes, D. and Laureano, F.), EPB2016 - Portuguese Meeting in Biomathematics 2016, UBI – October 13, Covilhã, Portugal.

 

2016-Complex networks, hyperbolic geometry and  symbolic dynamics, June 22, 8th International Conference on Discrete Models of Complex Systems, June 20-22, Aveiro, Portugal.

 

2016- Complexity in the human pupillary light reflex, (with Laureano, R., Mendes, D. and Laureano, F.), June 20, 8th International Conference on Discrete Models of Complex Systems, June 20-22, Aveiro, Portugal.

 

2016-Computation of geodesic length spectrum and modeling networks with hyperbolic geometry, January 30, Madeira Encounters XLIV, Madeira, Portugal.

 

2015- Évora como cidade multidi-mensional: um projecto transdisciplinar para um novo conhecimento das cidades, Clara Grácio, (with Rodrigues, P., Nogueira, P., Correia Ramos, C. and Domingas Simplício), Palaces and Urban Dynamics Centers of Power and Knowledge in Europe, November 5-7, University of Évora, Portugal.

 

2015-Window of Chaotic Delayed Synchronization, (with Lopes, L.M. and Fernandes, S.), June 15, International Workshop on Nonlinear Maps and their Applications, NOMA 2015, June 15-16, Dublin, Ireland.

 

2015- Systole and Kissing Number on hyperbolic surfaces with symbolic dynamics, May 22, 5th Day Dynamic - Multidisciplinary Seminar José Sousa Ramos, University of Évora, Portugal.

 

2015-Network Topology in a urban complex network, June 16, International Workshop on Nonlinear Maps and their Applications, NOMA 2015, June 15-16, Dublin, Ireland.

 

2015-Window of Chaotic Delayed Synchronization for different couplings, (with Lopes, L.M. and Fernandes, S.), Mat Triad 2015, Setember 10, 2015, Coimbra, Portugal.

 

2013-Geodesic length spectrum on compact Riemann surfaces and symbolic dynamics, 2-5 September 2013, International Fall Worshop Geometry Physics, Évora, Portugal.

 

2013-Systolic quantities on compact Riemann surfaces with symbolic dynamics, International Workshop on Nonlinear Maps and their Applications, September 3-4, 2013, Zaragoza, España.

 

2013-Four different couplings and their Windows of Synchronization , (with Lopes, L.M. and Fernandes, S.), International Workshop on Nonlinear Maps and their Applications, September 3-4, 2013, Zaragoza, España.

 

2013-Linear couplings, commanded couplings and their synchronization, (with Lopes, L.M. and Fernandes, S.), [2-4 September 2013] International Conference Planet Earth, Dynamics, Games and Science, DGS 2013, Lisboa, Portugal.

 

2012-Cyclic structure of the network and Ihara zeta function, (with Coolen, A.C.C. and Annibale, A.), ECIT 2012, Europeen Conference on Iteration Theory, September 9-15, Açores, Portugal.

 

2012-Global synchronization in couplings of one-dimensional piecewise unimodal maps, (with Fournier-Prunaret, D., Fernandes, S., Caneco, A. and Rocha, J.L.), ECIT 2012, Europeen Conference on Iteration Theory, September 9-15, Açores, Portugal.

 

2012-Windows of syncronization, (with Lopes, L.M. e Fernandes, S.), ECIT 2012, Europeen Conference on Iteration Theory, September 9-15, Açores, Portugal.

 

2012-“Janelas" de sincronização e "janelas" não caóticas numa rede de sistemas dinâmicos caóticos, 4º Dia Dinâmico- One day meeting, April 17, (with Lopes, L.M. and Fernandes, S.), Évora, Portugal.

 

2010- Network Topological Entropy, Conductance, Clustering and Perfomance, (with Caneco, A., Fernandes, S. and Rocha, J.L.), ECIT 2010, Europeen Conference on Iteration Theory, September 12-17, Nant, France.

 

2010- The systole in piecewise linear noncontinuous maps, (with Fernandes, S. and Correia Ramos, C.), ECIT 2010, Europeen Conference on Iteration Theory, September 12-17, Nant, France.

 

2010- Network synchronization interval and local Kolmogorov-Sinai entropy , (with Caneco, A., Fernandes, S. e Rocha, J.L.), ECCS 2010, Europeen Conference on Complex Systems, September 13-17, Lisboa, Portugal.

 

2010-Topological entropy and conductance on complete clustered networks, (with Caneco, A., Fernandes, S. and Rocha, J.L.), ECCS 2010, Europeen Conference on Complex Systems, September 13-17, Lisboa.

 

2010-The systole in piecewise linear noncontinuous maps, (with Fernandes, S. and C. Correia Ramos), ICMOD 2010, International Conference on Modeling, Optimization and Dynamics, July 5-7, Porto, Portugal.

 

2010- Symbolic Dynamics and Chaotic Synchronization, (with Caneco, A. and Rocha, J.L.), CHAOS 2010, The 3rd Chaotic Modeling and Simulation International Conference, June 1-4, Chania Crete, Greece.

 

2009- Synchronization, coupling and mixing time in Markov maps, (with Caneco, A., Fernandes, S. and Carlos Ramos), ICDEA 2009, The 15th International Conference on Difference Equations and Applications, October 19-2, Estoril, Portugal.

 

2009- Relationship between the behavior of entropy, the conductance and the coefficient of clustering of networks using symbolic dynamics, (with Caneco, A., Carlos Ramos, Fernandes, S. e Rocha, J.L.), NOMA 2009, IEEE Workshop on NonLinear Maps and Applications, September 10-11, Urbino, Italia.

 

2009- Conditions for the formation of clusters depending on the conductance and the coefficient of clustering, (with Caneco, A., Fernandes, S. and Rocha, J.L.), INDS 2009, Second International Workshop on Nonlinear Dynamics and Synchronization, July 20-21, Klagenfurt, Austria.

 

2009- Systoles on compact  Riemann Surfaces , NEEDS 2009, Nonlinear Evolution Equations and Dynamical Systems, May 16-23, Sardenha, Italia.

 

2008-Topological entropy and the controlled motion of profits in a chaotic economic model, (with Januário, C., Diana Mendes and Jorge Duarte), DYNA 2008, Braga.

 

2008-On the relationship between the synchronizability of a network and some graph invariants, (with Caneco, A., Fernandes, S. and Rocha, J.L.), DYNA 2008, Braga, Portugal.

 

2008-The chaotic motion of profits in a structure of a firm: measure and control, (with Diana Mendes, Januário, C. e Jorge Duarte, J.), ECIT 2008, Yalta, Ukraine.

 

2008- Systoles and topological entropy in discrete dynamical systems, (with Fernandes, S. and Carlos Ramos), ICDEA 2008, Istanbul, Turkey.

 

2007-Symbolic Dynamics and Networks Synchronization, (with Caneco, A., Fernandes, S.and Rocha, J.L.), IEEE Workshop on NonLinear Maps and Applications (NOMA07), December 13-14, Toulouse, France.

 

2007-Graphs, symbolic dynamics and synchronization of networks, (with Caneco, A., Fernandes, S. and Rocha, J.L.), ICDEA 2007, The 12th International Conference on Difference Equations and Applications, July 23-27, IST, Lisboa.

 

2007-Chaotic synchronization of unimodal and bimodal maps, (with Caneco, A. e Rocha, J.L.), ICDEA 2007, The 12th International Conference on Difference Equations and Applications, July 23-27, IST, Lisboa, Portugal.

 

2007- Symbolic Dynamics and complexity in an overlapping generation model, (with Januário, C. and Mendes, D.), Applications of Physics in Financial Analysis APFA 6, July 4-7, ISCTE, Lisboa, Portugal.

 

2007-Symbolic dynamics and chaotic synchronization in coupled Duffing oscillators, (with Caneco, A. and Rocha, J.L.), NEEDS 2007 Nonlinear Evolution Equations and Dynamical Systems, June 15-24, Barcelona, España.

 

2007- Conductance in digraphs arising from discrete dynamical systems, (with Jayachandran, S., Fernandes, S. and Correia Ramos, C.), NEEDS 2007 Nonlinear Evolution Equations and Dynamical Systems, June 15-24, Barcelona, España.

 

2006- Isoperimetric inequalities on discrete dynamical systems, (with Sousa Ramos, J.), ECIT06, European Conference on Iteration Theory, September 10-16, Gargnano, Italia.

 

2006- Symbolic Dynamics in the Duffing Attractor, (with Caneco, A., Rocha, J.L and Sousa Ramos, J.), ECIT06, European Conference on Iteration Theory, September 10-16, Gargnano, Italia.

 

2006- Spectra of digraphs arising from discrete dynamical systems, (with Jayachandran, S., Fernandes, S. and Sousa Ramos, J.), ECIT06, European Conference on Iteration Theory, September 10-16, Gargnano, Italia.

 

2006- Chaotic behavior in a economic mode, (with Januário, C. and Sousa Ramos, J.), Workshop Perspectives on Econophysics, January 27, Évora, Portugal.

 

2005- Laplacians and the Cheeger constants for discrete dynamical systems, (with Fernandes, S. and Sousa Ramos, J.), Tenth International Conference on Difference Equations, Special Functions and  Applications, ICDEA2005, July 25-30, Munchen, Germany.

 

2005- Chaotic behavior in a two-dimensional business cycle model, (with Januário, C. and Sousa Ramos, J.), Tenth International Conference on Difference Equations, Special Functions and  Applications, ICDEA2005, July 25-30, Munchen, Germany.

 

2004- Boundary maps and Fenchel-Nielsen coordinates, (with Sousa Ramos, J.), European Conference on Iteration Theory, ECIT 04, September 3-9, Murcia, España.

 

2004-The first eigenvalue of the Laplacian and the ground flow of a compact surface, (with Sousa Ramos, J.), NDES2004 - 12th International IEEE Workshop on Nonlinear Dynamics of Electronic Systems, May 9-13, Évora, Portugal.

 

2003- Geodesic length spectrum, systoles and eigenvalues of the Laplacian, (with Sousa Ramos, J.), XIVth International Congress on Mathematical Physics, July-28-August 2, Lisboa, Portugal.

 

2002- Rigidity and flexibility of surface groups, (with Sousa Ramos, J.), European Conference on Iteration Theory, September 1-7, Évora, Portugal.

 

2000- Boundary maps and Fenchel-Nielsen coordinates, (with Sousa Ramos, J.), European Conference on Iteration Theory, ECIT2000, September 3-9, Murcia, España.

 

1998- Symbolic dynamics and hyperbolic groups II, (with Sousa Ramos, J.), European Conference on Iteration Theory, September 8-14, Muzna, Poland.

 

1997- Symbolic dynamics and hyperbolic groups I, (with Sousa Ramos, J.), International Conference on Dynamical Systems, June 2-13, Cuernavaca, México.

 

1996- Symbolic dynamics and hyperbolics groups, (with Sousa Ramos, J.), European Conference on Iteration Theory, 8 a 13 de Setembro de 1996, Urbino, Italia.

 

1995- Quantization of chaotics dynamics, (with Sousa Ramos, J.), Dynamics Days, 27 de Junho a 2 de Julho de 1995, Lyon, France.