Complex statistics and diffusion in nonlinear disordered particle chains.

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (self-trapping) case and verify that subdiffusive spreading is always observed. We then carry out a statistical analysis of the motion, in both cases, in the sense of the Central Limit Theorem and present evidence of different chaos behaviors, for various groups of particles. Integrating the equations of motion for times as long as 10(9), our probability distribution functions always tend to Gaussians and show that the dynamics does not relax onto a quasi-periodic Kolmogorov-Arnold-Moser torus and that diffusion continues to spread chaotically for arbitrarily long times

Erratum to: 36th International Symposium on Intensive Care and Emergency Medicine

[This corrects the article DOI: 10.1186/s13054-016-1208-6.]

On the non-integrability of a family of Duffing-van der Pol oscillators

We investigate the non-integrability of a family of Duffing-van der Pol oscillators x+ alpha x(x2-1)+x+ beta x3= gamma cos omega t by studying the analytic properties of the dynamics in complex time. We find that the solutions of (∗) have no worse than algebraic singularities at t, with only (t-t∗)½ terms present in their series expansions, unlike, for example, the alpha =0 Duffing case, where, typically, log(t-t∗) terms arise. Still, when integrating (∗) around long enough contours, a remarkably intricate pattern of square root singularities emerges, on different sheets, which appears to prevent solutions from ever returning to the original sheet. Such evidence of infinitely-sheeted solutions, termed the ISS property, has also been observed in a number of Hamiltonian systems and is illustrated here on a simple example of a single, first-order differential equation. We suggest that the ISS property is a necessary condition for non-integrability, i.e. non-existence of a complete set of analytic, single-valued constants of the motion, which would permit the complete integration of a dynamical system in terms of quadratures

Complications of renal angiomyolipomas: CT evaluation

Complications from angiomyolipomas are rare but often severe depending on the size and content of the angiomyolipoma. In this study, we describe 10 cases from 63 patients with renal angiomyolipomas in whom computed tomography revealed the following complications: compression of pyelocalyceal system in three cases, intratumoral bleeding in two cases, rupture in four cases with subcapsular, perirenal, or pararenal hematoma and extensive intrarenal/parapelvic hematoma, cystic degeneration in one case