The first-passage problem is an important issue in the theory of dynamical systems; it determines whether the system is safe and reliable or destroyed. Therefore, taking a suitable force to control first-passage failure is very significant for such systems. In this paper, we study the...

It is shown that a small system in thermodynamic equilibrium with a finite thermostat can have a q-exponential probability distribution which closely depends on the energy nonextensivity and the particle number of the thermostat. The distribution function will reduce to the exponential one at...

By testing 88 different funds of the Chinese fund market (CFM), we find fractal behavior and long-range correlations in the return series, which are insensitive to the kind of funds. Meanwhile, a power-law relationship between the deviation D of prices and the Hurst exponent H has been obtained,...

The exponential degree distribution has been found in many real world complex networks, based on which, the random growing process has been introduced to analyze the formation principle of such kinds of networks. Inspired from the non-equilibrium network theory, we construct the network...

The game ‘rock–paper–scissors’ model, with the consideration of the effect of the psychology of conformity, is investigated. The interaction between each two agents is global, but the strategy of the conformity is local for individuals. In the statistical opinion, the probability of the...

The level of service in public walking spaces is mainly determined by the differences in pedestrian traffic demand and infrastructure supply. A problem worth studying is the evacuation process in a closed square with partition wall. In this paper, a cellular automaton model is presented to...

The main topic of this paper is the study of the stationary solution of a stochastically complex dynamical system. The stochastic averaging method of quasi-Hamiltonian system, an important tool for the analysis of dynamical properties of stochastically real dynamical system, is used at the first...

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of them pushes too hard, no deal at all can be concluded,...

Dimer statistics is a central problem in statistical physics. In this paper the enumerations of close-packed dimers of honeycomb lattices on Klein bottle, Möbius strip and cylinder are considered. By establishing a Pfaffian orientation or a crossing orientation, and then computing the...

In this paper, the dynamics of opinion formation is investigated based on a BA (Barabási–Albert) scale-free network, using a majority–minority rule governed by parameter q. As the value of q is smoothly varied, a phase transition occurs between an ordered phase and a disordered one. By...