Browsing by Author "201-0321764"

Now showing items 1-14 of 14

    • The Bogdanov-Takens Normal Form: A Minimal Model for Single Neuron Dynamics 
      Pereira, Ulises; Coullet, Pierre; Tirapegui Zurbano, Enrique (MDPI AG, 2015)
      Conductance-based (CB) models are a class of high dimensional dynamical systems derived from biophysical principles to describe in detail the electrical dynamics of single neurons. Despite the high dimensionality of these ...
    • Coarsening dynamics of the one-dimensional Cahn-Hilliard model 
      Argentina, Mederic; Clerc Gavilán, Marcel; Rojas, R.; Tirapegui Zurbano, Enrique (2005)
      The dynamics of one-dimensional Cahn-Hilliard model is studied. The stationary and particle-type solutions, the bubbles, are perused as a function of initial conditions, boundary conditions, and system size. We characterize the ...
    • Faraday patterns in lubricated thin films 
      Rojas, N. O.; Argentina, Mederic; Cerda, E.; Tirapegui Zurbano, Enrique (2011)
      We study the patterns observed in the vicinity of a Faraday instability, in the limit of a very thin layer of viscous fluid. We numerically solve our previous model [N.O. Rojas et al., Phys. Rev. Lett. 104, 187801 (2010)] ...
    • Front propagation sustained by additive noise 
      Clerc Gavilán, Marcel; Falcón Beas, Claudio; Tirapegui Zurbano, Enrique (AMERICAN PHYSICAL SOC, 2006-07)
      The effect of noise in a motionless front between a periodic spatial state and an homogeneous one is studied. Numerical simulations show that noise induces front propagation. From the subcritical Swift-Hohenberg equation ...
    • Harmonic solutions for polygonal hydraulic jumps in thin fluid films 
      Rojas, N.; Tirapegui Zurbano, Enrique (Cambridge Univ Press, 2015)
      This article contains numerical and theoretical results on the circular and polygonal hydraulic jumps in the framework of inertial lubrication theory. The free surface and velocity fields are computed along with ...
    • Inertial Lubrication Theory 
      Rojas, N. O.; Argentina, Mederic; Cerda, E.; Tirapegui Zurbano, Enrique (The American Physical Society, 2010)
      Thin fluid films can have surprising behavior depending on the boundary conditions enforced, the energy input and the specific Reynolds number of the fluid motion. Here we study the equations of motion for a thin fluid ...
    • Interaction of Defects in Two-Dimensional Systems 
      Rica Mery, Sergio; Tirapegui Zurbano, Enrique (American Physical Society, 1990-02-19)
      We derive equations of motion for a diluted gas of spiral defects in the two-dimensional complex Ginzburg-Landau equation. The interaction of two defects is treated and our predictions agree with a recent numerical experiment.
    • Noise induced rolls propagation 
      Clerc Gavilán, Marcel; Falcón Beas, Claudio; Escaff, D.; Tirapegui Zurbano, Enrique (2007)
      Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors. We present a robust effect of noise in two dimensional extended systems: the motion of a static front connecting a stripe pattern with ...
    • Nonlinear transport in nonequilibrium systems (with an application to Tokamak-plasmas) 
      Sonnino, Giorgio; Nardone, Pasquale; Peeters, Philippe; Tirapegui Zurbano, Enrique (American Institute of Physics, 2020)
      We show, for the first time, the explicit form of the nonlinear partial differential equations (PDEs) subject to the correct boundary conditions that have to be satisfied by transport coefficients having a vanishing ...
    • On the stable hole solutions in the complex Ginzburg-Landau equation 
      Descalzi, Orazio; Düring, Gustavo; Tirapegui Zurbano, Enrique (ELSEVIER SCIENCE BV, 2005-10-01)
      We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of ...
    • Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport 
      Clerc Gavilán, Marcel; Tirapegui Zurbano, Enrique; Trejo, M. (AMERICAN PHYSICAL SOC, 2006-10-27)
      We study the robust dynamical behaviors of reaction-diffusion systems where the transport gives rise to non-Fickian diffusion. A prototype model describing the deposition of molecules in a surface is used to show the generic ...
    • Periodic nucleation solutions of the real ginzburg landau equation in a finite box 
      Argentina, Mederic; Descalzi, Orazio; Tirapegui Zurbano, Enrique (2002)
      We study the stationary solutions of the real Ginzburg{Landau equation with periodic boundary conditions in a nite box. We show explicitly how to construct nucleation solutions allowing transitions between stable plane waves.
    • SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION 
      Clerc Gavilán, Marcel; Encina, Pablo C.; Tirapegui Zurbano, Enrique (WORLD SCIENTIFIC PUBL CO PTE LTD, 2008-07)
      A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize ...
    • Symmetry group and group representations associated with the thermodynamic covariance principle 
      Sonnino, Giorgio; Evslin, Jarah; Sonnino, Alberto; Steinbrecher, Gyorgy; Tirapegui Zurbano, Enrique (2016)
      The main objective of this work [previously appeared in literature, the thermodynamical field theory (TFT)] is to determine the nonlinear closure equations (i.e., the flux-force relations) valid for thermodynamic systems ...