Manuel A. Matías
Publications
0. Preprints:
1. Publications in refereed journals:
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L. Gelens, D. Gomila, G. Van der Sande, M.A. Matías, and P. Colet,
Nonlocality-Induced Front-Interaction Enhancement
Physical Review Letters 104,154101 (2010).
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P.V. Paulau, D. Gomila, P. Colet,M.A. Matías, N.A. Loiko, and W.J. Firth,
Drifting instabilities of cavity solitons in vertical-cavity
surface-emitting lasers with frequency-selective feedback
Physical Review A 80, 023808 (2009).
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A. Jacobo, D. Gomila, M.A. Matías, and P. Colet,
Effects of a localized beam on the dynamics of excitablecavity solitons,
Physical Review A 78, 053821 (2008).
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L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M.A. Matías,
Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,
Physical Review A 77, 033841 (2008).
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A.F. Rozenfeld, S. Arnaud-Haond, E. Hernández-García,
V.M. Eguíluz, M.A. Matías, E. Serrão, and C.M. Duarte,
Spectrum of genetic diversity and networks of clonal organisms
Journal of the Royal Society Interface 4,1093-1102 (2007).
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D. Gomila, A. Jacobo, M.A. Matías, and P. Colet,
Phase-space structure of 2D excitable localized structures,
Physical Review E 75, 026217 (1-10) (2007).
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A.E. Motter, M.A. Matías, J. Kurths, and E. Ott,
Dynamics on Complex Networks and Applications,
Physica D 224, vii-viii (2006).
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E. Sánchez, D. Pazó, and M.A. Matías,
Experimental Study of the Transitions between Synchronous Chaos and a
Periodic Rotating Wave,
Chaos 16, 033122 (1-10) (2006).
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D. Pazó, and M.A. Matías,
Comment on "Periodic Phase Synchronization in Coupled Chaotic Oscillators" ,
Physical Review E 73, 038201 (1-2) (2006) .
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D. Pazó and M.A. Matías,
Direct transition to high-dimensional chaos through a global bifurcation ,
Europhysics Letters 72, 176-182 (2005) .
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D. Gomila, M.A. Matías, and P. Colet,
Excitability mediated by localized structures in a dissipative nonlinear
optical cavity,
Physical Review Letters 94, 063905 (1-4) (2005).
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A.D. Sánchez, J.M. López, M.A. Rodríguez, and
M.A. Matías, Rare Events and Scale-Invariant Dynamics of
Perturbations in Delayed Dynamical Systems,
Physical Review Letters 92, 204101 (1-4) (2004).
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Z. Liu, Y.-C. Lai, and M.A. Matías, Universal scaling of Lyapunov
exponents in coupled chaotic oscillators,
Physical Review E 67, 045203 (R)(1-4) (2003).
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A. Pujol-Peré, O. Calvo, M.A. Matías, and J. Kurths, Experimental
study of imperfect phase synchronization in the forced Lorenz system,
CHAOS 13, 319-326 (2003).
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S. Madruga, S. Boccaletti, and M.A. Matías, Effect of a variable
delay in delayed dynamical systems,
International Journal of Bifurcation and Chaos 11,
2875-2880 (2001).
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D. Pazó, E. Sánchez, and M.A. Matías, Transition
to high-dimensional chaos through quasiperiodic motion,
International Journal of Bifurcation and Chaos 11,
2683-2688 (2001).
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E. Sánchez, M.A. Matías, and V. Pérez-Muñuzuri,
Chaotic
synchronization in small assemblies of driven Chua's circuits,
IEEE Transactions on Circuits and Systems-Part I 47, 644-654
(2000).
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E. Sánchez and M.A. Matías, Transition to rotating chaotic
waves in arrays of coupled Lorenz oscillators,
International Journal
of Bifurcation and Chaos 9, 2335-2343 (1999) .
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V. Pérez-Muñuzuri, M.A. Matías, and R. Kapral
Synchronization, pattern formation, and spatio-temporal chaos in
coupled chaotic oscillators - Foreword,
International Journal
of Bifurcation and Chaos 9, 2127-2128 (1999).
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E. Sánchez, M.A. Matías, and V. Pérez-Muñuzuri,
An
experimental setup for studying the effect of noise on Chua's circuits,
IEEE Transactions on Circuits and Systems-Part I 46, 517-520 (1999).
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I.P. Mariño, V. Pérez-Muñuzuri, V. Pérez-Villar,
E. Sánchez, and M.A. Matías, Interaction of chaotic rotating
waves in coupled rings of chaotic cells,
Physica D 128, 224-235 (1999)).
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I.P. Mariño, M.A. Matías, and V. Pérez-Muñuzuri,
Desynchronization
transitions in rings of coupled chaotic oscillators,
International Journal of Bifurcation and Chaos 8, 1733-1738 (1998).
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M.A. Matías and J. Guémez, Transient periodic rotating
waves and fast propagation of synchronization in linear arrays of chaotic
systems,
Physical Review Letters 81, 4124-4127 (1998).
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M.A. Matías and J. Guémez, Synchronization of identically
driven chaotic systems,
Physics Letters A 246, 289-292 (1998).
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E. Sánchez and M.A. Matías, Experimental confirmation
of fast periodic rotating waves in a ring of unidirectionally coupled analog
Lorenz oscillators,
Physical Review E 57, 6184-6186 (1998).
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E. Sánchez, M.A. Matías, and V. Pérez-Muñuzuri,
Analysis of synchronization of chaotic systems by noise: An experimental
study,
Physical Review E 56, 4068-4071 (1997).
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M.A. Matías, J. Guémez, V. Pérez-Muñuzuri,
M.N. Lorenzo, I.P. Mariño, and V. Pérez-Villar, Size instabilities
in rings of chaotic synchronized systems,
Europhysics Letters 37, 379-384 (1997).
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M.A. Matías, J. Guémez, and C. Martín,On the behavior
of coupled chaotic systems exhibiting marginal synchronization,
Physics Letters A 226, 264-268 (1997).
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J. Guémez, C. Martín, and M.A. Matías, Approach
to the synchronized state of some driving methods,
Physical Review E 55, 124-134 (1997).
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M.A. Matías, V. Pérez-Muñuzuri, M.N. Lorenzo, I.P.
Mariño, and V. Pérez-Villar, Observation of a Fast Rotating
Wave in Rings of Coupled Chaotic Oscillators,
Physical Review Letters 78, 219-222 (1997).
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J. Guémez and M.A. Matías, Synchronization in small assemblies
of van der Pol-Duffing chaotic oscillators,
International Journal of Bifurcation and Chaos 6,
1761-1766 (1996).
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M.N. Lorenzo, I.P. Mariño, V. Pérez-Muñuzuri, M.A.
Matías, and V. Pérez-Villar,
Synchronization waves in arrays of driven chaotic systems,
Physical Review E 54, R3094-R3097 (1996).
(Rapid Communication)
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M. Matías, L.M. Tel, and J.J. Novoa, Ab initio studies of van
der Waals molecules. A comparative study with several basis sets of the
C2v HeLi2 system, Journal
of Computational Chemistry 8, 51-56 (1987).
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M.A. Matías and A.J.C Varandas, Ab initio study of the He-Li2
interaction by the SCF and MP2 method, Journal of Computational Chemistry
8, 761-771 (1987).
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A.J.C Varandas and M.A. Matías, The dependence of the C6
atom-diatom dispersion energy coefficient on the diatomic vibrational coordinate:
A-H2 interactions, Chemical Physics Letters 148,
149-157 (1988).
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M.A. Matías and A.J.C Varandas, Atom-molecule dispersion energy
coefficients and their dependence on the intermolecular coordinate: A-H2
systems, Molecular Physics 70, 623-644 (1990).
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J. Güémez and M.A. Matías, Control of chaos in unidimensional
maps, Physics Letters A 181, 29-32 (1993).
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J. Güémez and M.A. Matías, Internal fluctuations
in a model of chemical chaos, Physical Review E 48, R2351-R2353
(1993). (Rapid Communication)
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M.A. Matías and J. Güémez, Stabilization of chaos
by proportional pulses in the system variables, Physical Review Letters
72,
1455-1458 (1994).
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J. Güémez, J.M. Gutiérrez, A. Iglesias, and M.A. Matías,
Stabilization of periodic and quasiperiodic motion in chaotic systems
through changes in the system variables, Physics Letters A 190,
429-433 (1994).
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M.A. Matías, M. Raimondi, E. Tornaghi, D.L. Cooper, and J. Gerratt,
Spin
coupled valence bond theory of van der Waals systems: application to LiH-He,
Molecular Physics 83, 89-100 (1994).
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J. Güémez, J.M. Gutiérrez, A. Iglesias, and M.A. Matías,
Suppression of chaos through changes in the system variables: transient
chaos and crises, Physica D 79, 164-173 (1994).
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M.A. Matías and J. Güémez, On the effects of molecular
fluctuations on models of chemical chaos, Journal of Chemical Physics
102, 1597-1606 (1995).
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J. Güémez, S. Velasco, and M.A. Matías, Thermal coefficients
and heat capacities in systems with chemical reaction: the Le Chatelier-Braun
principle, Journal of Chemical Education 72, 199-202 (1995).
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J. Guémez and M.A. Matías, Intrinsic-noise-induced transitions
in chaotic systems
Physical Review E 51, 3059-3068 (1995).
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J. Guémez and M.A. Matías, Modified method for synchronizing
and cascading chaotic systems, Physical Review E 52, R2145-R2148
(1995). (Rapid Communication)
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M.A. Matías and J. Guémez, Imposing the desired behavior
on a chaotic system,
Physics Letters A 209, 48-52 (1995).
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J. Guémez and M.A. Matías, Synchronization in small assemblies
of chaotic systems,
Physical Review E 53, 3059-3067 (1996).
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M.A. Matías and J. Guémez, Chaos suppression in flows
using proportional changes in the system variables, Physical Review
E 54, 198-209 (1996).
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J.M. Gutiérrez, A. Iglesias, J. Guémez, and M.A. Matías,
Suppression of chaos through changes in the system variables through Poincaré
and Lorenz maps, International Journal of Bifurcation and Chaos 6,
1351-1362 (1996).
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A. Iglesias, J.M. Gutiérrez, J. Guémez, and M.A. Matías,
Chaos Suppression Through Changes in the System Variables and Numerical
Rounding Errors, Chaos, Solitons, and Fractals 7, 1305-1316
(1996).
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J. Guémez and M.A. Matías, Synchronous oscillatory activity
in assemblies of chaotic model neurons, Physica D 96, 334-343
(1996).
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2. Contributions to Conference Proceedings:
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M.A. Matías and J. Guémez, On the effects of intrinsic
noise on chaotic systems, Many Body Physics, World Scientific, 451-454
(1994).
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M.A. Matías and J. Guémez, Controlling Chaos with Mathematica,
Mathematics with Vision, Computational Mechanics Publishing, 207-214 (1995).
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J. Güémez, J.M. Gutiérrez, A. Iglesias, and M.A. Matías,
Suppression of Chaotic Behaviour in Models of Chemical Chaos, 3rd
Granada Lectures in Computational Physics, Springer, 337-338, (1995).
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J. Güémez, J.M. Gutiérrez, A. Iglesias, and M.A. Matías,
Perturbing Variables in Poincaré Sections to Suppress Chaos,
3rd Granada Lectures in Computational Physics, Springer, 339-340, (1995).
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M.N. Lorenzo, I.P. Mariño, V. Pérez-Munuzuri, M.A. Matías,
and V. Pérez-Villar, Synchronization waves in arrays of chaotic
systems, Nonlinear Dynamics of Electronic Systems 1996, IEEE, 223-228,
(1996).
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V. Pérez-Munuzuri, M.A. Matías, I.P. Mariño, and V.
Pérez-Villar, Spatio-temporal patterns in a 3D chaotic neural
network, Supercomputation in Nonlinear Disordered systems, World Sci.
(L. Vázquez, F. Tirado and I. Martín, Eds.), 377-380 (1997).
3. Unpublished preprints:
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D. Pazó and M.A. Matías,
From quasiperiodicity to high-dimensional chaos without intermediate
low-dimensional chaos,
arxiv: 0909.1260.
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M.A. Matías,
Synchronization in Complex Networks: a Comment on two recent PRL papers,
arxiv: cond-mat/0507471.
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IMEDEA:
Cross-disciplinary Physics Department