Hamiltonian systems represent an important class of dynamical such as pendulums, molecular dynamics, and cosmic systems. The choice solvers is significant to the accuracy when simulating systems, where symplectic show great significance. Recent advances in neural network-based hypersolvers, though achieve competitive results, still lack symplecity necessary for reliable simulations, especially ...

The aim of this paper is to introduce the hybrid form hyperbolic Horadam function and investigate some its properties such as generating function. Another define sine cosine functions their symmetrical forms. For newly defined functions, recursive relations, derivatives, Cassini De Moivre type identities are examined. In addition, quasi-sine three-dimensional spiral defined.

ANN modeling is used here to predict missing monthly precipitation data in one station of the eight weather stations network Sulaimani Governorate. Eight models were developed, for each as prediction. The accuracy prediction obtain excellent with correlation coefficients between predicted and measured values ranged from (90% 97.2%). are found after many trials those highest coefficient selected...

This paper introduces a two-dimensional autonomous mega-stable dynamical system with trigonometric nonlinearities. The nonlinearity of this is induced by tangent hyperbolic and cosine functions. A remarkable feature the ability to generate very rich patterns coexisting attractors via variation its parameters. Interestingly shapes resemble some real-life objects, such as Persian rugs, nuts (main...

A Descartes configuration is a set of four mutually tangent circles in the Riemann sphere, having disjoint interiors. Apollonian circle packings arise by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. Such packings can be described in terms of the Descartes configurations they contain. Part I shoewed there is a natural group action on Desc...

Predicting electricity power is an important task, which helps utilities in improving their systems’ performance terms of effectiveness, productivity, management and control. Several researches had introduced this task using three main models: engineering, statistical artificial intelligence. Based on the experiments, used intelligence models, multilayer neural networks model has proven its suc...

Let M be a (connected) hyperbolic 3–manifold, namely a complete Riemannian manifold of dimension 3 and of constant sectional curvature −1, with finitely generated fundamental group. A fundamental subset of M is its convex core CM , which is the smallest non-empty convex subset of M . The condition that the volume of CM is finite is open in the space of hyperbolic metrics on M , provided we rest...

In the present investigation, the magnetohydrodynamic Falkner-Skan flow of tangent hyperbolic nanofluids over a stretching/shrinking wedge with variable suction, internal heat generation/absorption and chemical reaction with activation energy have been scrutinized. Nanofluid model is composed of “Brownian motion’’ and “Thermophoresis’’. Transformed non-dimensional coupled non-linear equations a...