A novel nonlinear transient computation device is presented which is designed to perform computations on multiple spike-train input signals. The input signals perturb the internal dynamic state of the device in a way that is characteristic of the input signal presented in each case. These characteristics are reflected in the output spike train of the device. Experimental evidence is presented i...

Asymptotic behavior of initially "large and smooth" pulses is investigated at two typical stages of their evolution governed by the defocusing nonlinear Schrödinger equation. At first, wave breaking phenomenon is studied in the limit of small dispersion. A solution of the Whitham modulational equations is found for the case of dissipationless shock wave arising after the wave breaking point. Th...

Observations from a lander fixed to the seafloor over the continental shelf in 124 m of water provide highly-resolved velocity measurements through nonlinear internal waves of elevation. From these measurements we directly determine, for the first time, the nonhydrostatic pressure disturbance (pnh) in nonlinear internal waves. For near-bottom waves of elevation ranging in amplitude (a) from 12 ...

FLASH plans to use a " third harmonic " (3.9 GHz) superconduct-ing cavity to compensate nonlinear distortions of the longitudinal phase space due to the sinusoidal curvature of the the cavity voltage of the TESLA 1.3 GHz cavities. Higher order modes (HOMs) in the 3.9 GHz have a significant impact on the dynamics of the electron bunches in a long bunch train. Kicks due to dipole modes can be enh...

A novel nonautonomous chaotic oscillator based on the passive structure of Chua's circuit is proposed. Unlike most of the available members of this class of chaotic oscillators, the proposed circuit is driven by a periodic bipolar pulse-train rather than by sinusoidal excitation. This results in equilibrium points which have ®xed positions in space. The circuit employs self feedback via a singl...

The simplest models used to describe physical systems are often linear. However, several natural phenomena can only be accurately modeled by relatively complex nonlinear systems of equations. There is a wealth of interesting dynamics displayed by systems consisting of nonlinear elements, for example systems in which the dynamics depend delicately on the initial conditions, viz, chaos, and syste...

Abstract The hunting phenomenon is an intrinsic swaying motion appearing in railway vehicles due to the vehicle’s forward speed and wheel–rail contact forces. Hunting consists of wheelset other components oscillations that arise above a certain known as critical or speed. These are unstable nature represent safety hazard they could lead derailment. This article analyses stability bogie nonlinea...

This paper gives a pedagogic review of the envelope formalism for excitation of zonal flows by nonlinear interactions of plasma drift waves or Rossby waves, described equivalently by the Hasegawa–Mima (HM) equation or the quasigeostrophic barotropic potential vorticity equation, respectively. In the plasma case a modified form of the HM equation, which takes into account suppression of the magn...

in this paper, by investigating the common weights concept and dea models with nonlinear virtual inputs/outputs, we introduce a model for evaluating the decision making units with nonlinear virtual inputs and outputs based on the common weights.