Relational clustering has received much attention from researchers in the last decade. In this paper we present a parametric method that employs a combination of both hard and soft clustering. Based on the corresponding Markov chain of an affinity matrix, we simulate a probability distribution on the states by defining a conditional probability for each subpopulation of states. This probabilist...

Asynchronous exponential growth has been extensively studied in population dynamics. In this paper we find out the asymptotic behaviour in a non-linear age-dependent model which takes into account sexual reproduction interactions. The main feature of our model is that the non-linear process converges to a linear one as the solution becomes large, so that the population undergoes asynchronous gr...

this paper addresses adaptive observer design problem for joint estimation of the states and unknown parameters for a class of nonlinear systems which satisfying one-sided lipschitz and quadratic inner bounded conditions. it’s shown that the stability of the proposed observer is related to finding solutions to a quadratic inequality consists of state and parameter errors. a coordinate transform...

We propose some new matrix models for clonal network dynamics that are typical simulating various biological clonal-type networks and study their to stable states. present a detailed description deduce the corresponding equations governing of immune systems on basis general gradient-type principles can be inherent wide class real living objects. Clonal special type modeled by symmetric projecto...

Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.

An optimization mathematical model for designing two-stage cylindrical gear reducer is firstly constructed based upon the drive principles and design criteria of cylindrical gear transmission. Then some techniques for calculating the key performance parameters, such as profile factor and dynamic load coefficient, etc., and revising the corresponding boundary constraints dynamically during the o...

We study a chain of N+1 phase oscillators with asymmetric but uniform coupling. This type of chain possesses 2(N) ways to synchronize in so-called traveling wave states, i.e., states where the phases of the single oscillators are in relative equilibrium. We show that the number of unstable dimensions of a traveling wave equals the number of oscillators with relative phase close to π. This impli...

We apply a modified scaling of viscosity with residual entropy in a manner analogous to that proposed by Rosenfeld (1977). We consider the viscosity-entropy scaling for a reference fluid (refrigerant R124 (1-chloro-1,2,2,2tetrafluoroethane) ), and demonstrate that the viscosity for many other refrigerants scales with residual entropy in a similar manner. Finally, we use a corresponding-states f...

Known shape-invariant potentials for the constant-mass Schrödinger equation are taken as effective potentials in a position-dependent effective mass (PDEM) one. The corresponding shape-invariance condition turns out to be deformed. Its solvability imposes the form of both the deformed superpotential and the PDEM. A lot of new exactly solvable potentials associated with a PDEM background are gen...