This paper discusses the well known Lorenz system under the in-uence of white noise. We prove the existence of a unique solution, a stationary distribution and a random attractor. Furthermore, the random attractor contains for particular parameters only one point. Numerical experiments illustrate the results.
Suppose we are able to write the matrix A as a product of two matrices, L · U = A (2.3.1) where L is lower triangular (has elements only on the diagonal and below) and U is upper triangular (has elements only on the diagonal and above). For the case of a 4 × 4 matrix A, for example, equation (2.3.
This study was intended to determine the effects of extremely low birthweight (ELBW, 500 to 999 g) and very low birthweight (VLBW, 1000 to 1499 g) on neuromotor ability in 5- to 7-year-old children. Fourteen ELBW and 20 VLBW children were compared with 24 term control children of normal birthweight (NBW, >2500 g). Using quantitative assessment instruments,… (More)
We prove the existence of random attractors for nonlinear sto-chastic hyperbolic diierential equations. The nonlinearity of this equation has similar properties as the nonlinearity of the Sine Gordon equation. We consider a diiusion term depending on the state variable. To prove the existence of a random attractor we transform the stochastic hyperbolic… (More)
Our material consisted of 100 adult skulls and 50 adult half-head sections where the posterior opening of the pterygopalatinate fossa and the position of the pterygopalatinate ganglion were investigated. The report contains the following specifics: 1. Course and contents of the pterygoidal canal as well as the topographical relations of the canal to the… (More)