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Takens' Embedding Theorem forms the basis of virtually all approaches to the analysis of time series generated by nonlinear deterministic dynamical systems. It typically allows us to reconstruct an unknown dynamical system which gave rise to a given observed scalar time series simply by constructing a new state space out of successive values of the time(More)
An approach to finding codes for use in direct sequence spread spectrum communications systems is described. It is based upon an analogy between codes having auto-and cross-correlation properties desirable for spread spectrum systems, and certain dynami-cal systems encountered in ergodic theory called systems with Lebesgue spectrum. Such systems are(More)
The evaluation of 430 consecutive eyes (87.5% from male, 12.5% from female patients) showed a leakage point with uniform dye spread in 93%. In 7%, a smoke- stack phenomenon was observed. The number of leakage points reached from 1 (71.6%) to 7 (0.2%). Most leakage points were found in a 1-mm-wide ring-shaped zone starting 0.5 mm from the center of the(More)
Email alerting service here right-hand corner of the article or click Receive free email alerts when new articles cite this article-sign up in the box at the top This paper introduces a new class of models of digital communications channels. Physically, these models take account of the digital nature of the input. Mathematically , they are iterated function(More)
We compare the behavior of a small truncated coupled map lattice with random inputs at the boundaries with that of a large deterministic lattice essentially at the thermodynamic limit. We find exponential convergence for the probability density, predictability, power spectrum, and two-point correlation with increasing truncated lattice size. This suggests(More)
An alternative to the usual atom-centred multipole expansion is presented for the analysis of high resolution, low-temperature X-ray scattering data. The molecular electron density is determined in a fixed basis of molecular orbitals with variable orbital occupation numbers, i.e. the same form which is used to represent the density in ab initio(More)
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