Coupled Maps on TreesWe study coupled maps on a Cayley tree, with local (nearest-neighbor) interactions, and with a variety of boundary conditions. The homogeneous state (where every lattice site has the same value) and…Prashant M. Gade, Hilda A. Cerdeira, R. Ramaswamy·May 22, 1995SaveLearn
Coexisting Pulses in a Model for Binary-Mixture ConvectionWe address the striking coexistence of localized waves (`pulses') of different lengths which was observed in recent experiments and full numerical simulations of binary-mixture convection. Using…Hermann Riecke, Wouter-Jan Rappel·May 19, 1995SaveLearn
Influence of the Dufour effect on convection in binary gas mixturesLinear and nonlinear properties of convection in binary fluid layers heated from below are investigated, in particular for gas parameters. A Galerkin approximation for realistic boundary conditions…St. Hollinger, M. Luecke·May 12, 1995SaveLearn
Mean Field Theory of the Morphology Transition in Stochastic Diffusion Limited GrowthWe propose a mean-field model for describing the averaged properties of a class of stochastic diffusion-limited growth systems. We then show that this model exhibits a morphology transition from a…Yuhai Tu, Herbert Levine·May 9, 1995SaveLearn
Dynamic Domain Walls in Strongly Driven FerromagnetsA multiple-time scaling analysis of the dissipative, transversely driven Landau-Lifshitz equation in presence of exchange, shape demagnetisation and week anisotropy fields is performed for a dynamic…Timm Plefka·Apr 20, 1995SaveLearn
Convection in Binary Fluid Mixtures. II. Localized Traveling Waves. (Physical Review E, in press)Nonlinear, spatially localized structures of traveling convection rolls are investigated in quantitative detail as a function of Rayleigh number for two different Soret coupling strengths (separation…W. Barten, M. Luecke, M. Kamps et al.·Apr 18, 1995SaveLearn
Convection in Binary Fluid Mixtures. I. Extended Traveling Wave and Stationary States. (Physical Review E, in press)Nonlinear convection structures are investigated in quantitative detail as a function of Rayleigh number for several negative and positive Soret coupling strengths (separation ratios) and different…W. Barten, M. Luecke, M. Kamps et al.·Apr 18, 1995SaveLearn
Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau EquationMotivated by the idea of developing a ``hydrodynamic'' description of spatiotemporal chaos, we have investigated the defect--defect correlation functions in the defect turbulence regime of…Bruce W. Roberts, Eberhard Bodenschatz, James P. Sethna·Apr 9, 1995SaveLearn
Boundary-induced wavelength selection in a one-dimensional pattern-forming systemWe have measured the stability boundary for steady electrically-driven convective flow in thin, freely suspended films of Smectic-A liquid crystal. The thinness and layered structure of the films…S. S. Mao, J. R. de Bruyn, S. W. Morris·Mar 27, 1995SaveLearn
Phase Slips and the Eckhaus InstabilityWe consider the Ginzburg-Landau equation, ∂t u= ∂x2 u + u - u|u|2 , with complex amplitude u(x,t). We first analyze the phenomenon of phase slips as a consequence of the …J. -P. Eckmann, Th. Gallay, C. E. Wayne·Mar 8, 1995SaveLearn
Global modes for the complex Ginzburg-Landau equationLinear global modes, which are time-harmonic solutions with vanishing boundary conditions, are analysed in the context of the complex Ginzburg-Landau equation with slowly varying coefficients in…Le S. Dizès·Mar 1, 1995SaveLearn
Solitary Waves under the Influence of a Long-Wave ModeThe dynamics of solitons of the nonlinear Schrödinger equation under the influence of dissipative and dispersive perturbations is investigated. In particular a coupling to a long-wave mode is…Hermann Riecke·Feb 24, 1995SaveLearn
Aggregation Patterns in Stressed BacteriaWe study the formation of spot patterns seen in a variety of bacterial species when the bacteria are subjected to oxidative stress due to hazardous byproducts of respiration. Our approach consists of…Lev Tsimring, Herbert Levine, Igor Aranson et al.·Feb 24, 1995SaveLearn
Attractive Interaction Between Pulses in a Model for Binary-Mixture ConvectionRecent experiments on convection in binary mixtures have shown that the interaction between localized waves (pulses) can be repulsive as well as attractive and depends strongly on the relative…Hermann Riecke·Feb 18, 1995SaveLearn
Points, Walls and Loops in Resonant Oscillatory MediaIn an experiment of oscillatory media, domains and walls are formed under the parametric resonance with a frequency double the natural one. In this bi-stable system, %phase jumps π by crossing…Tetsuya Kawagishi, Tsuyoshi Mizuguchi, Masaki Sano·Feb 17, 1995SaveLearn
MULTIPLE FRONT PROPAGATION IN A POTENTIAL NON-GRADIENT SYSTEMA classification of dynamical systems in terms of their variational properties is reviewed. Within this classification, front propagation is discussed in a non-gradient relaxational potential flow.…M. San Miguel, R. Montagne, A. Amengual et al.·Feb 14, 1995SaveLearn
Thermally Induced Fluctuations Below the Onset of Rayleigh-Bénard ConvectionWe report quantitative experimental results for the intensity of noise-induced fluctuations below the critical temperature difference ΔTc for Rayleigh-Bénard convection. The structure factor of…Mingming Wu, Guenter Ahlers, David S. Cannell·Feb 10, 1995SaveLearn
INVERSE SCATTERING TRANSFORM ANALYSIS OF STOKES-ANTI-STOKES STIMULATED RAMAN SCATTERINGZakharov-Shabat--Ablowitz-Kaup-Newel-Segur representation for Stokes-anti-Stokes stimulated Raman scattering is proposed. Periodical waves, solitons and self-similarity solutions are derived.…V. S. Gerdjikov, N. A. Kostov·Feb 6, 1995SaveLearn
Obtaining Breathers in Nonlinear Hamiltonian LatticesWe present a numerical method for obtaining high-accuracy numerical solutions of spatially localized time-periodic excitations on a nonlinear Hamiltonian lattice. We compare these results with…Sergej Flach·Jan 27, 1995SaveLearn
Metastability in Fluctuation Driven First-order Transitions: Nucleation of Lamellar PhasesThe nucleation of a lamellar phase from a supercooled homogeneous phase in a fluctuation driven first-order transition is studied, based on a phenomenological free energy due to Brazovskii. The…P. C. Hohenberg, J. B, Swift·Jan 26, 1995SaveLearn
Multistability in networks of weakly coupled bistable unitsWe study the stationary states of networks consisting of weakly coupled bistable units. We prove the existence of a high multiplicity of stable steady states in networks with very general inter-unit…R S MacKay, J A Sepulchre·Jan 20, 1995SaveLearn
Amplitude equations near pattern forming instabilities for strongly driven ferromagnetsA transversally driven isotropic ferromagnet being under the influence of a static external and an uniaxial internal anisotropy field is studied. We consider the dissipative Landau-Lifshitz equation…F. Matthäus, H. Sauermann·Jan 19, 1995SaveLearn
Penta-Hepta Defect Motion in Hexagonal PatternsStructure and dynamics of penta-hepta defects in hexagonal patterns is studied in the framework of coupled amplitude equations for underlying plane waves. Analytical solution for phase field of…Lev S. Tsimring·Jan 3, 1995SaveLearn
Periodicity of cylindrical linear cellular automataPeriodicity and relaxation are investigated for the trajectories of the states in cylindrical linear cellular automata. The time evolutions are described with matrices. The eigenvalue analysis is…Shin-ichi Tadaki·Dec 15, 1994SaveLearn
The Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical ProblemsI argue that ``good'' mathematical models of spatio-temporal dynamics in two-dimensions require non-local operators in the nonlinear terms. Consequently, the often used Swift-Hohenberg…A. J. Roberts·Dec 9, 1994SaveLearn