Fronts and interfaces in bistable extended mappingsWe study the interfaces' time evolution in one-dimensional bistable extended dynamical systems with discrete time. The dynamics is governed by the competition between a local piece-wise affine…R. Coutinho, B. Fernandez·May 26, 1998SaveLearn
The Stability of Standing WavesWe determine the modulational stability of standing waves with small group velocity in quasi-onedimensional systems slightly above the threshold of a supercritical Hopf bifurcation. The stability…Hermann Riecke, Lorenz Kramer·May 19, 1998SaveLearn
Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodiumThe amoeboid organism, the plasmodium of Physarum polycephalum, behaves on the basis of spatio-temporal pattern formation by local contraction-oscillators. This biological system can be regarded as a…H. Yamada, T. Nakagaki, M. Ito·May 18, 1998SaveLearn
Model for convection in binary liquidsA minimal, analytically manageable Galerkin type model for convection in binary mixtures subject to realistic boundary conditions is presented. The model elucidates and reproduces the typical…St. Hollinger, M. Luecke, H. W. Mueller·May 12, 1998SaveLearn
Analysis of Optimal Velocity Model with Explicit DelayWe analyze Optimal Velocity Model (OVM) with explicit delay. The properties of congestion and the delay time of car motion are investigated by analytical and numerical methods. It is shown that the…Masako Bando, Katsuya Hasebe, Ken Nakanishi et al.·May 12, 1998SaveLearn
Influence of the Soret effect on convection of binary fluidsConvection in horizontal layers of binary fluids heated from below and in particular the influence of the Soret effect on the bifurcation properties of extended stationary and traveling patterns that…St. Hollinger, M. Luecke·May 11, 1998SaveLearn
Oscillon-type Structures and Their Interaction in a Swift-Hohenberg ModelMotivated by the observation of localized circular excitations (`oscillons') in vertically vibrated granular layers (P.B. Umbanhowar, F. Melo and H.L. Swinney, Nature 382 (1996) 793), we…Catherine Crawford, Hermann Riecke·Apr 30, 1998SaveLearn
The Dynamics of Granular Segregation Patterns in a Long Drum MixerWe have studied the early time evolution of granular segregation patterns in a horizontal rotating cylinder partially filled with a sand/salt mixture. The growth of concentration fluctuations…Kiam Choo, Michael W. Baker, T. C. A. Molteno et al.·Apr 28, 1998SaveLearn
New Approaches to Soliton Quantization and Existence for Particle PhysicsThis paper provides mathematical details related to another new paper which suggests: (1) new approaches to the analysis of soliton stability; (2) families of Lagrangian field theories where solitons…Paul J. Werbos·Apr 8, 1998SaveLearn
Path instabilities of air bubbles rising in clean waterExperiments are conducted to study the path and shape of single air bubbles (diameter range 0.10- 0.20cm) rising freely in clean water. The experimental results demonstrate that the bubble shape has…Mingming Wu, Moteza Gharib·Apr 7, 1998SaveLearn
Spike autosolitons in the Gray-Scott modelWe performed a comprehensive study of the spike autosolitons: self-sustained solitary inhomogeneous states, in the classical reaction-diffusion system --- the Gray-Scott model. We developed singular…C. B. Muratov, V. V. Osipov·Mar 31, 1998SaveLearn
The Universal Gaussian in Soliton TailsWe show that in a large class of equations, solitons formed from generic initial conditions do not have infinitely long exponential tails, but are truncated by a region of Gaussian decay. This…David A. Kessler, Jeremy Schiff·Mar 18, 1998SaveLearn
A Phase Front Instability in Periodically Forced Oscillatory SystemsMultiplicity of phase states within frequency locked bands in periodically forced oscillatory systems may give rise to front structures separating states with different phases. A new front…Christian Elphick, Aric Hagberg, Ehud Meron·Mar 17, 1998SaveLearn
The Accurate Modelling of Thin 3D Fluid Flows with Inertia on Curved SubstratesModels and simulations of the flow of thin films of fluids have many important applications in industrial and natural processes. We consider the motion of a thin layer of an incompressible, Newtonian…Zhenquan Li, A. J. Roberts·Mar 4, 1998SaveLearn
Continuum-type stability balloon in oscillated granular layersThe stability of convection rolls in a fluid heated from below is limited by secondary instabilities, including the skew-varicose and crossroll instabilities. We observe a stability boundary defined…John R. de Bruyn, C. Bizon, M. D. Shattuck et al.·Feb 25, 1998SaveLearn
Hexagons and Interfaces in a Vibrated Granular LayerThe order parameter model based on parametric Ginzburg-Landau equation is used to describe high acceleration patterns in vibrated layer of granular material. At large amplitude of driving both…I. S. Aranson, L. S. Tsimring, V. M. Vinokur·Feb 12, 1998SaveLearn
Localization of Waves without Bistability: Worms in Nematic ElectroconvectionA general localization mechanism for waves in dissipative systems is identified that does not require the bistability of the basic state and the nonlinear plane-wave state. The mechanism explains the…Hermann Riecke, Glen D. Granzow·Feb 9, 1998SaveLearn
Square patterns in Rayleigh-Benard convection with rotation about a vertical axisWe present experimental results for Rayleigh-Benard convection with rotation about a vertical axis at dimensionless rotation rates in the range 0 to 250 and upto 20% above the onset. Critical…Kapil M. S. Bajaj, Jun Liu, Brian Naberhuis et al.·Feb 2, 1998SaveLearn
Front Propagation: Precursors, Cutoffs and Structural StabilityWe discuss the problem of fronts propagating into metastable and unstable states. We examine the time development of the leading edge, discovering a precursor which in the metastable case propagates…David A. Kessler, Zvi Ner, Leonard M. Sander·Feb 1, 1998SaveLearn
A Continuum Description of Vibrated SandThe motion of a thin layer of granular material on a plate undergoing sinusoidal vibrations is considered. We develop equations of motion for the local thickness and the horizontal velocity of the…Jens Eggers, Hermann Riecke·Jan 28, 1998SaveLearn
Diffusive Mixing of Stable States in the Ginzburg-Landau EquationFor the time-dependent Ginzburg-Landau equation on the real line, we construct solutions which converge, as x ∞, to periodic stationary states with different wave-numbers η. These…Thierry Gallay, Alexander Mielke·Jan 27, 1998SaveLearn
Three basic issues concerning interface dynamics in nonequilibrium pattern formationThese are lecture notes of a course given at the 9th International Summer School on Fundamental Problems in Statistical Mechanics, held in Altenberg, Germany, in August 1997. In these notes, we…Wim van Saarloos·Jan 23, 1998SaveLearn
Thermal Fluctuations, Subcritical Bifurcation, and Nucleation of Localized States in ElectroconvectionMeasurements of the mean-square amplitude of thermally-induced fluctuations of a thin layer of the nematic liquid crystal I52 subjected to a voltage V < Vc are reported. They yield the limit of…Urs Bisang, Guenter Ahlers·Jan 10, 1998SaveLearn
Validation and Calibration of Models for Reaction-Diffusion SystemsSpace and time scales are not independent in diffusion. In fact, numerical simulations show that different patterns are obtained when space and time steps (Δx and Δt) are varied independently. On…Rui Dilao, Joaquim Sainhas·Dec 23, 1997SaveLearn
New stability results for long-wavelength convection patternsWe consider the transition from a spatially uniform state to a steady, spatially-periodic pattern in a partial differential equation describing long-wavelength convection. This both extends existing…Anne C. Skeldon, Mary Silber·Dec 16, 1997SaveLearn