Angle Contraction Between Geodesics

Nikolai A. Krylov, Edwin L. Rogers

In this paper: We consider here a generalization of a well known discrete dynamical system produced by the bisection of reflection angles that are constructed recursively between two lines in the Euclidean plane. It...

Existence of Massless and Non-Existence of Massive Scalar Waves with Gravitational Waves for Generalized Peres Space-Time

In this paper: This paper deals with the existence of massless scalar field with plane gravitational waves, plane gravitational waves coupled with electromagnetic waves and non-existence of massive scalar field with...

Chaos Control in Genesio System Using Active Backstepping Design

Ömür Umut

In this paper: In this paper, an active backstepping design is proposed for controlling chaotic Genesio system to a steady state as well as tracking of any desired trajectory to be achieved in a systematic way. This...

A Generalization of Strong Causality

N. Gerami, N. Ebrahimi

In this paper: In this paper we are going to define strong T- causality for n ∈ N. These are levels in the causal ladder of spacetime between stable causality and strong causality. A characterization of them is pres...

A Study on Ruled Surface in Euclidean 3-Space

Yilmaz Tunçer, Nejat Ekmekci

In this paper: In this study, we examined the ruled surfaces in Euclidean 3-space with different way. We obtained some characterizations on the ruled surfaces by using its rulings, curvatures of the base curve, shap...

Lagrangian and Hamiltonian Formulations of the Damped Harmonic Oscillator Using Caputo Fractional Derivative

Khaldoun M. Tarawneh, Eqab M. Rabei, Humam B. Ghassib

In this paper: In this work, the Caputo fractional derivative is used to construct the Lagrangian and the Hamiltonian formulations for nonconservative mechanical systems. The Euler-Lagrange equations are derived usi...

Multifractal Decomposition of the Entropies Spectrum for Countable Subshifts in Finer Levels Sets

In this paper: In a previous article we considered a finer decomposition of the spectrum of local entropies. In that case the dynamics are taken on compact spaces. Here we continue with this analysis but now for sys...

Differential Connections on Top Spaces

Mohammad Reza Farhangdoost

In this paper: In this paper we construct differential connections such as horizontal lines and we show that: they have Lie semigroup structure with an identity element. We also show that differential connections st...

Time-Like Smarandache Curves Derived from a Space-Like Helix

Ahmad Tawfik Ali

In this paper: A regular curve in Minkowski space-time , whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache curve. We define a special case of such curves and...