Nonlinear Stability in Generalized Photogravitational Restricted Three Body Problem

In this paper: We have discussed the nonlinear stability of triangular equilibrium points in generalized photogravitational restricted three body problem. The problem is generalized in the sense that both primaries...

Chaos Synchronization

Ömür Umut, Swarup Poria, Rajat Patra

In this paper: In this paper, we use nonlinear control method for synchronization of two identical chaotic generalized Lotka-Volterra system. The determination of the controller is based on the Lyapunov stability th...

Partial Latin Squares Having a Santilli’s Autotopism in their Autotopism Groups

R. M. Falcón, J. Núñez

In this paper: An autotopism Θ = (α, β, γ) of a partial Latin square P = (p) with symbols in N = {0, 1, …, n − 1} is said to be a Santilli’s autotopism of P if there exist j ∈ N such that α(i) = p, β(i) = p and γ(i)...

On Strong Chain Classes of Homeomorphisms of Compact Metric Spaces

F. H. Ghane, A. Fakhari

In this paper: The strong chain recurrent points and strong chain transitive sets of a homeomorphism f on a compact metric space X, first introduced by Easton [4]. He note that, if chain recurrent set of f is all of...

On Asymptotic Time for an Evolution with Non-Local Boundary Condition

F. Diaba, E. Cheremnikh

In this paper: The exponential function of Sturm-Liouville’s operator on half line with a trivial potential and a non-local boundary condition is given. The authors consider the case where the point spectrum is fini...

Homothetic Motion of Submanifolds on the Plane in E3

Yilmaz Tunçer, M. Kemal Sağel, Yusuf Yayli

In this paper: In this study, we obtained an equation of homothetic motion of any regular surface M on its tangent plane at the contact points, along pole curves which are trajectories of instantaneous rotation cent...

Attractors for Relative Semi-Dynamical Systems

M.R. Molaei

In this paper: In this paper a model for the concept of bornology from the point of view of an observer is presented. By the use of relative bornological spaces, the notion of attractor for relative semi-dynamical s...

Large Deviation Results for Periodic Points of a Rational Map

Mark Pollicott, Shrihari Sridharan

In this paper: In this note we show a large deviation result for the periodic points of a hyperbolic rational map on the Riemann sphere. This extends the well known equidistribution result of Lyubich in this setting...

A Bianchi Type -V Cosmological Model in Brans - Dicke Theory of Gravitation

D.R.K. Reddy, Atchuta Rao, Nirupama Devi, R.L. Naidu

In this paper: Bianchi type - V space time is considered in the presence of perfect fluid source in the scalar - tensor theory of gravitation proposed by Brans and Dicke [Phys. Rev.124, 925,1961]. With the help of s...

Jacobi Stability for Geometric Dynamics

Constantin Udrişte, Ileana Rodica Nicola

In this paper: The paper investigates the KCC theory and the Jacobi stability for the Euler-Lagrange prolongation of a flow on a Riemannian manifold (geometric dynamics).