The perturbing effects of the Poynting-Robertson drag on motion an infinitesimal mass around triangular Lagrangian points circular restricted three-body problem under small perturbations in Coriolis and centrifugal forces when three bodies are oblate spheroids primaries emitters radiation pressure, is focus this paper. equations governing dynamical system have been derived locations determined....

Characterizing the sensitivity to infinitesimally small perturbations in parameters is a powerful tool for the analysis, modeling, and design of chemical reaction networks. Sensitivity analysis of networks modeled using stochastic chemical kinetics, in which a probabilistic description is used to characterize the inherent randomness of the system, is commonly performed using Monte Carlo methods...

An anomaly in circuit theory is the disappearance of some of the stored energy when two capacitors, one charged and the other uncharged, are connected together through resistanceless wires. Nonstandard analysis shows that, when the wires are taken to have infinitesimally small but nonzero resistance, the energy dissipated in the wires equals that substantial amount of energy that had disappeare...

In this paper, the Kadomtsev-Petviashvili equation is solved by using the Adomian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The existence and uniqueness of the solution and convergence of the proposed...

Abstract. We consider a long-range Ising antiferromagnet (LRIAF) put in a transverse field. Applying quantum Monte Carlo method, we study the variation of order parameter (spin correlation in Trotter time direction), susceptibility and average energy of the system for various values of the transverse field at different temperatures. The antiferromagnetic order is seen to get immediately broken ...

Plane Poiseuille flow of a Bingham fluid in channel armed with superhydrophobic (SH) lower wall is analysed via semi-analytical model, accompanied by complementary direct numerical simulations (DNS). The SH surface represents groovy structure air trapped inside its cavities. Therefore, the adjacent to undergoes stick–slip conditions. model developed based on introducing infinitesimal wall-induc...

The goal of this paper consists of developing a new (more physical and numerical in comparison with standard and non-standard analysis approaches) point of view on Calculus with functions assuming infinite and infinitesimal values. It uses recently introduced infinite and infinitesimal numbers being in accordance with the principle ‘The part is less than the whole’ observed in the physical worl...

In this paper, we consider the problem of minimizing the exit rate with which a diffusion process pertaining to a chain of distributed control systems, with random perturbations, exits from a given bounded open domain. In particular, we consider a chain of distributed control systems that are formed by n subsystems (with n ≥ 2), where the random perturbation enters only in the first subsystem a...