This paper shows that a large class of chaotic systems, introduced in Celikovsky and Chen [7], as the hyperbolic-type generalized Lorenz system, can be systematically used to generate synchronized chaotic oscillations. While the generalized Lorenz system unifies the famous Lorenz system and Chen's system [10], the hyperbolic-type generalized Lorenz system is in some way complementary to it. Syn...

‎in this paper‎, ‎we have investigated the chaotic behavior of thermal convection in couple stress liquid saturated porous layer subject to gravity‎, ‎heated from below and cooled from above‎, ‎based on theory of dynamical system‎. ‎a low dimensional lorenz‎- ‎like model is obtained by using galerkin-truncation approximation‎. ‎we found that there is proportional relation between scaled couple ...

The Lorenz curve is a fundamental tool for analyzing income and wealth distribution inequality. Indeed, the its derivative, so-called share density, provide valuable information regarding There widely recognized connection between elements from theory field. Starting this evidence, aim of work to compare inequality different subgroups, by using proper dissimilarity measure, borrowed theory, par...

We study the Lorenz model from the viewpoint of its accessible singularities and local index. 0. Introduction The Lorenz model

This paper proposes a general multiscroll Lorenz system family by introducing a novel parameterized nth-order polynomial transformation. Some basic dynamical behaviors of this general multiscroll Lorenz system family are then investigated, including bifurcations, maximum Lyapunov exponents, and parameters regions. Furthermore, the general multiscroll Lorenz attractors are physically verified by...

Exploring the health risks of diseases attributed to PM2.5 and SO2 exposure analyzing differences in their distribution over emissions can provide useful insights for decision-makers reduce premature mortality due exposure. This study used exposure-response functions, risk inequality curve (HRICU, based on Lorenz curve), coefficient (HRICO, Gini coefficient) estimate population China from 2013 ...

The present study discusses the early theoretical development of Konrad Lorenz in the period from 1930 to 1937. In this period Lorenz developed his position on instinct in the first place, and thus his theoretical views were subject to change. Despite this change, the paper points to relatively stable features of Lorenz’s approach, which emerged relatively soon in his scientific career and guid...

A modified form of the Townsend equations for the fluctuating velocity wave vectors is applied to a laminar three-dimensional boundary-layer flow. These equations are cast into a Lorenz-type system of equations. The initial system of Lorenz equations yields the generation of masked output signals containing internal ordered regions. The selfsynchronizing property of the Lorenz system of equatio...

A spectral approach to the Lorenz-Mie problem was adopted to obtain a pole expansion of the Lorenz-Mie coefficients in the complex variable z = 4π/(n − 1), where n is the dielectric permittivity of the scatterer. In the absence of magnetic properties (which is assumed), n is the refractive index of the scatterer. It is shown that the Lorenz-Mie coefficients are meromorphic functions of z with s...