In this paper we numerically investigate the distribution of the sums of the iterates of the logistic map and the relationships among the important properties of the nonlinear dynamics in the vicinity of the chaos threshold by adding two kinds of contributions with different densities. The first...

The energy of a graph G arising in chemical physics, denoted by E(G), is defined as the sum of the absolute values of the eigenvalues of G. As an analogue to E(G), the incidence energy IE(G), defined as the sum of the singular values of the incidence matrix of G, is a much studied quantity with...

The nonlinear theory of two-dimensional ion-acoustic (IA) solitary waves and shocks (SWS) is revisited in a dissipative quantum plasma. The effects of dispersion, caused by the charge separation of electrons and ions and the quantum force associated with the Bohm potential for degenerate...

The sharp volatility of West Texas Intermediate (WTI) crude oil price in the past decade triggers us to investigate the price bubbles and their evolving process. Empirical results indicate that the fundamental price of WTI crude oil appears relatively more stable than that of the market-trading...

We propose a complex quantity, AL, to characterize the degree of disorder of L-length binary symbolic sequences. As examples, we respectively apply it to typical random and deterministic sequences. One kind of random sequences is generated from a periodic binary sequence and the other is...

We study the evolution of allele frequencies for infinitely large populations subjected to mutations and assortative mating. Haploid individuals are described by two biallelic genes, and assortativity is introduced by preventing mating between individuals whose alleles differ at both loci. In...

In last decades, nano technology developed. Since, nano scale thermal cycles will be possibly used in near future. In this study, a nano scale irreversible dual cycle was analyzed thermodynamically. Ideal Maxwell–Boltzmann gas is used for working fluid in the system. He4 is chosen as working...

This paper tackles the problem of finding analytical expressions describing the ground state properties of Dürer lattices over which a generalized Edwards–Anderson model (±J Ising model) is defined. A local frustration analysis is performed based on representative cells for these lattices....

How trading volume responds to price return is investigated by the return–volume correlation dynamics, based on the daily data of two typical financial markets, i.e., the Chinese and the United States stock markets. Whereas the price returns being observed to be positively correlated with the...

This paper is concerned in the option pricing and portfolio hedging in a discrete time incomplete market. It has been shown that scaling and residual risks as well as the mixed hedging strategy play an important role in option pricing and portfolio hedging in a discrete time case. In particular,...