Mancini-Maza, H. L. (Hector Luis)
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- Periodicity characterization of the nonlinear magnetization dynamics(AIP, 2020) Laroze, D. (David); Suárez, O.J. (O. J.); Cabanas, A.M. (A.M.); Pérez, L.M. (L. M.); Bragard, J. (Jean); Mancini-Maza, H. L. (Hector Luis); Vélez, J.A. (J.A.)In this work, we study numerically the periodicity of regular regions embedded in chaotic states for the case of an anisotropic magnetic particle. The particle is in the monodomain regime and subject to an applied magnetic field that depends on time. The dissipative Landau–Lifshitz–Gilbert equation models the particle. To perform the characterization, we compute several two-dimensional phase diagrams in the parameter space for the Lyapunov exponents and the isospikes. We observe multiple transitions among periodic states, revealing complex topological structures in the parameter space typical of dynamic systems. To show the finer details of the regular structures, iterative zooms are performed. In particular, we find islands of synchronization for the magnetization and the driven field and several shrimp structures with different periods.
- Experimental phase synchronization of chaotic convective flows(American Physical Society, 2000) Boccaletti, S. (S.); Maza-Ozcoidi, D. (Diego); Vallone, A.F. (A. F.); Mancini-Maza, H. L. (Hector Luis)We report experimental evidence of phase synchronization of high dimensional chaotic oscillators in a laboratory experiment. The experiment consists of a thermocapillary driven convective cell in a time dependent chaotic regime. The synchronized states emerge as a consequence of a localized temperature perturbation to the heater. The transition to phase synchronization is studied as a function of the external perturbations. The existence and stability conditions for this phenomenon are discussed.
- Frozen dynamics and synchronization through a secondary symmetry-breaking bifurcation(APS, 2013) Burguete-Mas, F.J. (Francisco Javier); Gonzalez-Viñas, W. (Wenceslao); Miranda, M.A. (Montserrat A.); Mancini-Maza, H. L. (Hector Luis)We show evidence of the frozen dynamics (Kibble-Zurek mechanism) at the transition one-dimensional (1D) front of an extended 1D array of convective oscillators that undergo a secondary subcritical bifurcation. Results correspond to a global synchronization process from nonlocal coupling between the oscillating units. The quenched dynamics exhibits defect trapping at the synchronization front according to the Kibble-Zurek mechanism, predicted for condensed matter systems. A stronger subcriticality prevents the fronts from freezing defects during the quenched transitions. A synchronization model of supercritical oscillating units is proposed to explain differentiation mechanisms in morphogenesis above a critical crossing rate when the frequency of the individual oscillators becomes coherent. The phases of such oscillators are spatially coupled through a Kuramoto-Battogtokh term that leads to the experimentally observed subcriticality. As a consequence, we show that the Kibble-Zurek mechanism overcomes non-locality of a geometrical network above a critical crossing rate.
- Frecuency entrainment of nonautonomous chaotic oscillators(2004) Bove, I. (I.); Boccaletti, S. (S.); Bragard, J. (Jean); Mancini-Maza, H. L. (Hector Luis); Kurths, J. (J.)We give evidence of frequency entrainment of dominant peaks in the chaotic spectra of two coupled chaotic nonautonomous oscillators. At variance with the autonomous case, the phenomenon is here characterized by the vanishing of a previously positive Lyapunov exponent in the spectrum, which takes place for a broad range of the coupling strength parameter. Such a state is studied also for the case of chaotic oscillators with illdefined phases due to the absence of a unique center of rotation. Different phase synchronization indicators are used to circumvent this difficulty.
- Phase Clustering and Collective Behaviors in Globally Coupled Map Lattices due to mean Filed Effects(2000) Boccaletti, S. (S.); Maza-Ozcoidi, D. (Diego); Mancini-Maza, H. L. (Hector Luis)We describe the emergence of phase clustering and collective behaviors in an ensemble of chaotic coupled map lattices, due to a mean eld interaction. This kind of interaction is responsible for the appearence of a collective state, wherein the mean eld evolution of each lattice undergoes a periodic behavior in space. We analyze the transition to such a state in an ensemble of one-dimensional lattices of logistic maps, showing that the resulting behavior cooperatively maximizes the energy of the mean eld activity.
- Topological defects after a quench in a Bénard-Marangoni convection system(2001) Boccaletti, S. (S.); Gonzalez-Viñas, W. (Wenceslao); Casado, S. (S.); Mancini-Maza, H. L. (Hector Luis)We report experimental evidence of the fact that, in a Bénard-Marangoni conduction-convection transition, the density of defects in the emerging structure scales as a power law in the quench time needed for the control parameter to ramp through the threshold. The obtained scaling exponents differ from the ones predicted and observed in the case in which the defects correspond to zeros in the amplitude of the global two-dimensional field.
- Hydrothermal waves in Marangoni convection in a cylindrical container(American Physical Society, 1993) Burguete-Mas, F.J. (Francisco Javier); Perez-Garcia, C. (C.); Garcimartín-Montero, Á. (Ángel); Mancini-Maza, H. L. (Hector Luis); Ezersky, A. (A.)
- Synchronization in nonidentical extended systems(American Physical Society, 1999) Arecchi, F.T. (F.T.); Boccaletti, S. (S.); Bragard, J. (Jean); Mancini-Maza, H. L. (Hector Luis)We report the synchronization of two nonidentical spatially extended fields, ruled by one-dimensional complex Ginzburg-Landau equations, both in the phase and in the amplitude turbulence regimes. In the case of small parameter mismatches, the coupling induces a transition to a completely synchronized state. For large parameter mismatches, the transition is mediated by phase synchronization. In the former case, the synchronized state is not qualitatively different from the unsynchronized one, while in the latter case the synchronized state may substantially differ from the unsynchronized one, and it is mainly dictated by the synchronization process of the space-time defects.
- The birth of defects in pattern formation: testing of the Kibble-Zurek mechanism(2007) Ramazza, P.L. (Pier Luigi); Boccaletti, S. (S.); Gonzalez-Viñas, W. (Wenceslao); Casado, S. (S.); Mancini-Maza, H. L. (Hector Luis)Abstract. The extension of the cosmological mechanism of Kibble to second order phase transitions in condensed matter systems by Zurek, can be further generalized to bifurcations of out-of-equilibrium systems in continuum media, since the argument used in the derivation of the Kibble–Zurek scaling law is general. Here we review the validity of such scaling comparing several bifurcations where the test has been checked. Also, new experimental results of a nonlinear optical system are reported.
- Synchonization between two Hele-Shaw cells(2004) Bernardini, A. (Alejandra); Bragard, J. (Jean); Mancini-Maza, H. L. (Hector Luis)Abstract. Complete synchronization between two Hele-Shaw cells is exam- ined. The two dynamical systems are chaotic in time and spatially extended in two dimensions. It is shown that a large number of connectors are needed to achieve synchronization. In particular, we have studied how the number of connectors influences the dynamical regime that is set inside the Hele-Shaw cells.