Abstract—New physical insights into the nonlinear Lorenz equations related to flow resistance is discussed in this work. The chaotic dynamics related to Lorenz equations has been studied in many papers, which is due to the sensitivity of Lorenz equations to initial conditions and parameter uncertainties. However, the physical implication arising from Lorenz equations about convectional motion a...

rization of vegetation, airborne laser scanning (ALS) remote nsing allows for evaluating properties related to forest structure broad forest areas (Lefsky et al., 2005; Maltamo et al., 2005). ese properties can be exploited to study forest successional ages (Falkowski et al., 2009; Valbuena et al., 2013a), the risk of ild fire propagation (Andersen et al., 2005; Hall et al., 2005) or ind-throw ...

BACKGROUND Although modifiable risk factors have been included in previous models that estimate or project breast cancer risk, there remains a need to estimate the effects of changes in modifiable risk factors on the absolute risk of breast cancer. METHODS Using data from a case-control study of women in Italy (2569 case patients and 2588 control subjects studied from June 1, 1991, to April 1...

Born on 7 November 1903, Lorenz was the second and last child of Emma Lorenz and Dr. Adolf Lorenz, a distinguished and wealthy orthopedic surgeon. Growing up in comfortable surroundings at the family home in the village of Altenberg, on the outskirts of Vienna, the young Lorenz was allowed to pursue his enthusiasms as an animal lover. His interest in animals and evolution as an adolescent led h...

We use recently developed procedures to decompose German Lorenz curves for post-government incomes among East Germans, West Germans, and foreign guest workers after German unification. The decomposed Lorenz ordinates permit us to construct interdistributional Lorenz curves, which in turn allow dominance comparisons of changes in economic advantage in different years. Using interdistributional G...

All attempts to generalize the three-dimensional Lorenz model by selecting higher-order Fourier modes can be divided into three categories, namely: vertical, horizontal and vertical–horizontal mode truncations. The previous study showed that the first method allowed only construction of a nine-dimensional system when the selected modes were energy-conserving. The results presented in this paper...

We carry out the global bifurcation analysis of the classical Lorenz system. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and o...

This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms compute the derivative of long time averaged “statistical” quantities to infinitesimal perturbations of the system parameters. The algorithms are demonstrated on the Lorenz attractor. We show that sensitivity derivativ...

A sequential batch reactor (SBR) and a membrane bioreactor (MBR) were inoculated with the same sludge from a municipal wastewater treatment plant, supplemented with ammonium, and operated in parallel for 84 days. It was investigated whether the functional stability of the nitrification process corresponded with a static ammonia-oxidizing bacterial (AOB) community. The SBR provided complete nitr...

We propose a model for Lorenz curves. It provides two-parameter fits to data on incomes, electric consumption, life expectation and rate of survival after cancer. Graphs result from the condition of maximum entropy and from the symmetry of statistical distributions. Differences in populations composing a binary system (poor and rich, young and old, etc.) bring about chance inequality. Symmetric...