Browsing by Autor "Deterlino Urzagasti"

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    A mathematical model for the Andean Tiwanaku civilization collapse: Climate variations
    (Elsevier BV, 2011) J.C. Flores; Mauro Bologna; Deterlino Urzagasti
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    Breather Bound States in a Parametrically Driven Magnetic Wire
    (Multidisciplinary Digital Publishing Institute, 2024) Camilo José Castro; Ignacio Ortega-Piwonka; Boris A. Malomed; Deterlino Urzagasti; Liliana Pedraja-Rejas; Pablo Díaz; D. Laroze
    We report the results of a systematic investigation of localized dynamical states in the model of a one-dimensional magnetic wire, which is based on the Landau–Lifshitz–Gilbert (LLG) equation. The dissipative term in the LLG equation is compensated by the parametric drive imposed by the external AC magnetic field, which is uniformly applied perpendicular to the rectilinear wire. The existence and stability of the localized states is studied in the plane of the relevant control parameters, namely, the amplitude of the driving term and the detuning of its frequency from the parametric resonance. With the help of systematically performed simulations of the LLG equation, the existence and stability areas are identified in the parameter plane for several species of the localized states: stationary single- and two-soliton modes, single and double breathers, drifting double breathers with spontaneously broken inner symmetry, and multisoliton complexes. Multistability occurs in this system. The breathers emit radiation waves (which explains their drift caused by the spontaneous symmetry breaking, as it breaks the balance between the recoil from the waves emitted to left and right), while the multisoliton complexes exhibit cycles of periodic transitions between three-, five-, and seven-soliton configurations. Dynamical characteristics of the localized states are systematically calculated too. These include, in particular, the average velocity of the asymmetric drifting modes, and the largest Lyapunov exponent, whose negative and positive values imply that the intrinsic dynamics of the respective modes is regular or chaotic, respectively.
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    Chaotic one-dimensional domains induced by periodic potentials in normal-dispersion fiber lasers
    (American Institute of Physics, 2017) Deterlino Urzagasti; Bryan A. Vargas; Luzmila A. Quispe-Flores
    We investigate numerically the effects of external time-periodic potentials on time-localized perturbations to the amplitude of electromagnetic waves propagating in normal-dispersion fiber lasers which are described by the complex Ginzburg-Landau equation. Two main effects were found: The formation of domains enclosed by two maxima of the external periodic field and the generation of a chaotic behavior of these domains in the region of relatively high amplitudes and low frequencies of the external fields. Maps and bifurcation diagrams of the largest Lyapunov exponent and moments, such as energy and momentum, are also provided for different values of the amplitude and frequency of such external potentials.
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    Dark soliton solutions of the cubic-quintic complex Ginzburg–Landau equation with high-order terms and potential barriers in normal-dispersion fiber lasers
    (World Scientific, 2021) Marco A. Viscarra; Deterlino Urzagasti
    In this paper, we numerically study dark solitons in normal-dispersion optical fibers described by the cubic-quintic complex Ginzburg–Landau equation. The effects of the third-order dispersion, self-steepening, stimulated Raman dispersion, and external potentials are also considered. The existence, chaotic content and interactions of these objects are analyzed, as well as the tunneling through a potential barrier and the formation of dark breathers aside from dark solitons in two dimensions and their mutual interactions as well as with periodic potentials. Furthermore, the homogeneous solutions of the model and the conditions for their stability are also analytically obtained.
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    Determinación de la línea meridiana en el observatorio geomagnético de Patacamaya
    (1999) Deterlino Urzagasti; Edgar Ricadldi; Pedro Miranda; Erick Franck; Adolfo Aramayo; César Antonio Cabrera Tapia
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    Hamiltonian approach to the soliton-soliton interaction and for a classical solitonic gas
    (Elsevier BV, 2022) Luzmila A. Quispe-Flores; Deterlino Urzagasti
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    Hyper-Chaotic and Chaotic Synchronisation of Two Interacting Dipoles
    (Springer Nature, 2015) Deterlino Urzagasti; David Becerra‐Alonso; Laura M. Pérez; H. Mancini; D. Laroze
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    Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles
    (Springer Science+Business Media, 2015) Deterlino Urzagasti; David Becerra‐Alonso; Laura M. Pérez; H. Mancini; D. Laroze
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    Kinks y solitones en la ecuación de Ginzburg-Landau cúbica-quíntica real
    (2010) Deterlino Urzagasti
    Se resuelve num´ericamente la ecuaci´on parab´olica de Ginzburg-Landau C´ubica-Qu´intica Real en una dimensi´on. Las soluciones no divergentes encontradas son aquellas que conectan los distintos puntos fijos. Estas se presentan como trayectorias en el espacio de fases que conectan puntos silla con puntos fijos espirales y nodos y que tienen la forma de frentes (kinks) o de estructuras peri´odicas espaciales que viajan estacionariamente en el espacio. A partir de las soluciones que involucran espirales, ha sido posible construir tambi´en estructuras estacionarias localizadas espacialmente que tienen formas de dominios y pulsos
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    Localized precessional and nutational states in easy-axis iron and cobalt wires
    (Elsevier BV, 2020) Deterlino Urzagasti; Indira Ocampo
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    METODO DE DEPROYECCIÓN Y ESTRUCTURA DE BRAZOS DE GALAXIAS ESPIRALES. RESULTADOS PARA NGC 4939, NGC 5247 Y NGC 157
    (2024) Deterlino Urzagasti
    A numerical method is presented for the deprojection of disk images of normal spiral galaxies and for obtaining their arm structure using the logarithmic spiral model. The method is based on obtaining the points of local maxima and minima of the galactic image intensity fluctuations through a smoothing process with the Savitzky-Golay filter. These points then serve to determine the galactic disk inclination angles as well as the pitch angle of its spiral arms. The method is applied to three galaxies: NGC 4939, NGC 5247 and NGC 157, finding reasonable agreement with other results from the literature
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    Modelo para galaxias espirales
    (2005) Deterlino Urzagasti
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    Parametrically driven scalar field in an expanding background
    (American Physical Society, 2017) Sergio Yanez-Pagans; Deterlino Urzagasti; Zui Oporto
    We study the existence and dynamic behavior of localized and extended structures in a massive scalar inflaton field $\ensuremath{\phi}$ in $1+1$ dimensions in the framework of an expanding universe with constant Hubble parameter. We introduce a parametric forcing, produced by another quantum scalar field $\ensuremath{\psi}$, over the effective mass squared around the minimum of the inflaton potential. For this purpose, we study the system in the context of the cubic quintic complex Ginzburg-Landau equation and find the associated amplitude equation to the cosmological scalar field equation, which near the parametric resonance allows us to find the field amplitude. We find homogeneous null solutions, flat-top expanding solitons, and dark soliton patterns. No persistent non-null solutions are found in the absence of parametric forcing, and divergent solutions are obtained when the forcing amplitude is greater than $4/3$.
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    Reflection and transmission of both continuous and solitary waves in conductive media with Kerr-type nonlinearity
    (World Scientific, 2023) Luis A. Manzaneda; Deterlino Urzagasti
    We present a theoretical study of the incidence of nonuniform waves between two dissipative media with finite conductivity and with a nonlinear response to the applied electric field, which is associated with the Kerr effect. From the Adler–Chu–Fano formulation, the complex propagation vectors, transmitted and reflected angles, and Fresnel coefficients are obtained for the two linear polarization states. In addition, the modification of the total internal reflection, the phase shift, the Goos–Hänchen effect, as well as the interface interaction with bright solitons are explored. Calculations are performed for fused silica, the chalcogenide As 2 S 3 glass, and gold in glass media.
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