Nonlinear metamaterials have been predicted to support new and exciting domains in the manipulation of light, including novel phase-matching schemes for wave mixing. Most notable is the so-called nonlinear-optical mirror, in which a nonlinear negative-index medium emits the generated frequency towards the source of the pump. In this Letter, we experimentally demonstrate the nonlinear-optical mi...

The mechanisms leading to the initiation of normal, premature or dysfunctional human labour are poorly understood, as animal models are inappropriate, and experimental studies are limited. Computational modelling provides a means of linking non-invasive clinical data with the results of in vitro cell and tissue physiology. Nonlinear wave processes – propagation in an excitable medium – provides...

We analyze spiking responses of excitable neuron model with a winding threshold manifold on a pulse stimulation. The model is stimulated with external pulse stimuli and can generate nonlinear integrateand-fire and resonant responses typical for excitable neuronal cells (all-or-none). In addition we show that for certain parameter range there is a possibility to trigger a spiking sequence with a...

A discrete model based on a nonlinear difference equation (equivalent to a coupled map lattice of high dimension) is used to study the dynamics of a circulating pulse in a ring of excitable media, such as cardiac cells. Based on the global and local properties of monotonic restitution and dispersion curves, criteria are obtained for the asymptotic stability of the unique steady state (pulse cir...

Ofer Firstenberg∗1, Thibault Peyronel∗2, Qi-Yu Liang, Alexey V. Gorshkov, Mikhail D. Lukin, and Vladan Vuletić Department of Physics, Harvard University, Cambridge, MA, 02138 Department of Physics and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA 9...

A simple model for a swimmer consisting of three colinearly linked spheres attached by rods and oscillating out of phase to break reciprocal motion is analyzed. With a prescribed forcing of the rods acting on the three spheres, the swimming dynamics are determined analytically in both a Newtonian Stokes fluid and a zero Reynolds number, nonlinear, Oldroyd-B viscoelastic fluid with Deborah numbe...

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We develop a theory of existence and uniqueness for the following porous medium equation with fractional diffusion,  ∂u ∂t + (−∆)σ/2(|u|m−1u) = 0, x ∈ RN , t > 0, u(x, 0) = f(x), x ∈ RN , with data f ∈ L1(RN ) and exponents 0 < σ < 2, m > m∗ = (N − σ)+/N . An L1-contraction semigroup is constructed. Nonnegative solutions are proved to be continuous and strictly positive for all x ∈ RN , t > 0...

2014 The excitation of surface plasmon by attenuated total reflection can be used to get a bistable optical device. As the incident light beam propagates through a nonlinear medium, any intensity variation tunes the plasmon excitation through resonance. Furthermore, the superposition of the incident and reflected beams induces a feedback and allows bistable operation. J. Physique 45 (1984) 597-...

We report on observations of the electrical transport within a chain of metallic beads (slightly oxidised) under an applied stress. A transition from an insulating to a conductive state is observed as the applied current is increased. The voltage-current (U –I) characteristics are nonlinear and hysteretic, and saturate to a low voltage per contact (0.4 V). Our 1D experiment allows us to underst...