Sparse Identification of Nonlinear Dynamics (SINDy) has been shown to successfully recover governing equations from data; however, this approach assumes the initial condition be exactly known in advance and is sensitive noise. In work we propose an integral SINDy (ISINDy) method simultaneously identify model structure parameters nonlinear ordinary differential (ODEs) noisy time-series observati...

we study umbilic (space-like) submanifolds of pseudo-riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo euclidean space and relate this notion to umbilicity. finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.a pseudo-riemannian submanifold m in (a ps...

The aim of this paper is to introduce the notion of commutative pseudo BE-algebras and investigate their properties.We generalize some results proved by A. Walendziak for the case of commutative BE-algebras.We prove that the class of commutative pseudo BE-algebras is equivalent to the class of commutative pseudo BCK-algebras. Based on this result, all results holding for commutative pseudo BCK-...

We study the periodic dynamics of Henon-Heiles Hamiltonian system with additional singular gravitational term . The modelizes how stars move around a galactic center. addition this allows to modelize motion in pseudo or post-Newtonian dynamics. Thus model predict phenomena which cannot be detected by classical Newtonian mechanics. Using averaging theory first order we analytically existence two...