Now showing items 1-20 of 28

    • Additive Noise Induces Front Propagation 

      Clerc Gavilán, Marcel; Falcón Beas, Claudio; Tirapegui Zurbano, Enrique (2005-04-15)
      The effect of additive noise on a static front that connects a stable homogeneous state with an also stable but spatially periodic state is studied. Numerical simulations show that noise induces front propagation. The ...
    • Asymptotic Description of a Viscous Fluid Layer 

      Cerda, Enrique; Rojas Cortés, René; Tirapegui Zurbano, Enrique (2000)
      We prove that the exact non local equation derived by the present authors for the temporal linear evolution of the surface of a viscous incompressible fluid reduces asymptotically for high viscosity to a second order ...
    • 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 ...
    • Bubbles Interactions in the Cahn-Hilliard Equation 

      Calisto, H.; Clerc Gavilán, Marcel; Rojas, R.; Tirapegui Zurbano, Enrique (2000-10-30)
      We study the dynamics of bubbles in the one dimensional Cahn-Hilliard equation. For a gas of diluted bubbles we find ordinary differential equations describing their interaction which permits us to describe the ulterior ...
    • 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 ...
    • Comment on ‘‘Symmetric path integrals for stochastic equations with multiplicative noise’’ 

      Calisto, H.; Tirapegui Zurbano, Enrique (2002)
      We recall our approach through discretizations for path integrals and its general results for representations of probability densities. It is shown that the result of Arnold @P. Arnold, Phys. Rev. E 61, 6099 ~2000!# is ...
    • 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)] ...
    • Faraday’s Instability for Viscous Fluids 

      Cerda, Enrique; Tirapegui Zurbano, Enrique (1997-02-03)
      We derive an exact equation which is nonlocal in time for the linear evolution of the surface of a viscous fluid, and show that this equation becomes local and of second order in an interesting limit. We use our local ...
    • 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 ...
    • Generation and characterization of absolute equilibrium of compressible flows 

      Krstulovic, Giorgio; Cartes, Carlos; Brachet, Marc; Tirapegui Zurbano, Enrique (World Scientific Publishing Company, 2009)
      A short review is given of recent papers on the relaxation to (incompressible) absolute equilibrium. A new algorithm to construct absolute equilibrium of spectrally truncated compressible flows is described. The algorithm ...
    • 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.
    • Localized structures in nonequilibrium systems 

      Descalzi, Orazio; Gutiérrez, Pablo; Tirapegui Zurbano, Enrique (2005)
      We study numerically a prototype equation which arises generically as an envelope equa- tion for a weakly inverted bifurcation associated to traveling waves: The complex quintic Ginzburg{Landau equation. We show six di ...
    • Lorenz Bifurcation: Instabilities in Quasireversible Systems 

      Clerc Gavilán, Marcel; Coullet, Pierre; Tirapegui Zurbano, Enrique (1999-11-08)
      We describe the two generic instabilities which arise in quasireversible systems and show that their normal forms are the well-known real Lorenz equations and the Maxwell-Bloch equations. We present for the first time ...
    • 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 ...
    • On the movingpulse solutions in systems with broken parity 

      Descalzi, Orazio; Tirapegui Zurbano, Enrique (2004)
      We study analytically a system sustainingstable movinglocalized structures, namely, the one-dimensional quintic complex Ginzburg–Landau (G–L) equation with non-linear gradients. We obtain approximate solutions for the ...
    • 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 monoatomic layer deposition 

      Clerc Gavilán, Marcel; Tirapegui Zurbano, Enrique; Trejo, M. (2007)
      We study the nonlinear robust behaviors of a model for the deposition of a monolayer of molecules on a surface which takes into account the interactions of the adsorbed molecules. The transport properties of the model ...
    • 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 ...