Publications:
- Window of Chaotic Delayed
Synchronization, (with
Lopes, L.M. and Fernandes, S.), Journal of Physics: Conference Series 692,
11p, (2016).
- Complete synchronization and delayed synchronization in
couplings, (with Lopes, L.M. and Fernandes,
S.), Nonlinear Dynamics, Vol.79, Isr2. Springer, pp: 1615-1624,
(2015).
- Systoles on compact Riemann surfaces with
symbolic dynamics”, Nonlinear maps and their applications, Springer Proc. Math.
Stat., 112, Springer, pp: 269-288, (2015).
- .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).
- 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).
- 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).
- Windows of Synchronization” and ”Non-chaotic Windows, (with Luís, L.M. and Fernandes, S.),
ESAIM: Proc. 46, pp: 163-176 (2014).
- 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).
- 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).
- Systoles in
Discrete Dynamical Systems, (with Fernandes,
S. and Correia Ramos, C.), Journal of Geometry and Physics 63, pp:
129–139, (2013).
- .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).
- 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).
- 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).
- Geodesic length spectrum on compact Riemann surfaces, (with Sousa Ramos, J.), J. Geom. Phys., 60, No. 11, pp: 1643-1655,
(2010).
- 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).
- Conductance in Discrete Dynamical Systems, (with Fernandes, S. and Correia
Ramos, C.), Nonlinear Dyn. 61, No.
3, pp: 435-442, (2010).
- 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).
- 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).
- 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).
- 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).
- 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)
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- Spectrum of
the Laplacian on hyperbolic Surfaces, (with
Sousa Ramos, J.), Grazer
Math. Ber. 350, pp: 122-134 (2006).
- 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).
- Chaotic
behavior in an economic model, (with Januário, C. and Sousa Ramos, J.), Proceedings
of the Workshop Perspectives on Econophysics, pp: 99-109, (2006).
- Rigidity and flexibility of surface groups, (with Sousa
Ramos, J.), Grazer
Math. Ber. 346, pp: 157-168 (2004).
- Boundary
maps and Fenchel-Nielsen coordinates, (with
Sousa Ramos, J.), Int.
J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, pp: 1949-1958 (2003).
- 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).
- Symbolic
Dynamics and Hyperbolic Groups, (with Sousa
Ramos, J.), Grazer Math. Ber. 339, pp:
195-206, (1999).