This paper presents a generalized second-order hydrodynamic traffic model. Its central piece is the expression for relative velocity of congestion (compression wave) propagation. We show that well-known models Payne–Whitham, Aw–Rascal and Zhang are all special cases featured model, their properties fully defined by how expressed. The proposed model verified with data from segment Interstate 580...

Abstract. Let X be a Kobayashi hyperbolic complex manifold, and assume that X does not contain compact complex submanifolds of positive dimension (e.g., X Stein). We shall prove the following generalization of Ritt’s theorem: every holomorphic self-map f :X → X such that f(X) is relatively compact in X has a unique fixed point τ(f) ∈ X , which is attracting. Furthermore, we shall prove that τ(f...

in this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. we extract the information function ofan ergodic dynamical system (x,t) from the relative information of t fromthe view point of observer χx, where x denotes the base space of the system.we also generalize the inv...