We generalize the N-person evolutionary snowdrift game to incorporate the effects of costly punishment in a well-mixed population. A set of dynamical equations that account for the evolution of the frequencies of the three strategies under replicator dynamics is formulated. At long time, the...

We focus on emergence of the power-law cross-correlations from processes with both short and long term memory properties. In the case of correlated error-terms, the power-law decay of the cross-correlation function comes automatically with the characteristics of separate processes. Bivariate...

We reconstruct the published year of each cuneiform tablet of the Nuzi society in ancient Mesopotamia. The tablets are on land transaction, marriage, loan, slavery contracts, etc. The number of tablets seems to increase by logistic growth. It may show the dynamics of concentration of lands or...

We review equilibrium properties for the dynamics of a single particle evolving in a visco-elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included. We discuss the derivation of...

In this work we use Feynman’s path integral formalism to show the strict equivalence between the Hamilton–Jacobi (HJ) and Fokker–Planck (FP) equations, for a Brownian harmonic oscillator characterized by a Langevin equation within the inertial regime. In this case, the Lagrangian function...

We calculate the time-dependent Shannon (Sx and Sp) entropy and Fisher (Fx and Fp) information of three log-periodic oscillators. We obtain a general expression for Sx,p and Fx,p in the state n=0 in terms of ρ, a c-number quantity satisfying a nonlinear differential equation. For two out of...

The non extensive thermodynamics of an ideal gas composed by bosons and/or fermions is derived from its partition function for systems with finite chemical potentials. It is shown that the thermodynamical quantities derived in the present work are in agreement with those obtained in previous...

The time dynamics of seismic microtremors recorded in several sites in Chisinau City (Moldova) are analysed by means of the informational approaches of the Fisher Information Measure (FIM) and the Shannon entropy. The sites show different soil characteristics. One of the investigated sites,...

The latest researches have explored the topic of complex network control based on the linear system control theory. These researches aim to control all nodes of a network. However, in many cases it is sufficient to control just a part of nodes. Because a community usually plays an independent...

In this paper, a stochastic Holling II one-predator two-prey system with jumps is investigated. Firstly, the properties of the solution, such as the existence and uniqueness of the global positive solution, stochastic ultimate boundedness and the pathwise estimation are studied. Then we mainly...