In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling...

Praised for its revolutionary technique and studied for its perplexing imagery, Jan van Eyck’s Arnolfini Portrait has remained a riddle since the 19th century. Completed in 1434 in Bruges, the work showcases a skilled use of oil paints and impressively realistic details. More famous and perhaps more important, however, than van Eyck’s technique are the two figures and the objects which decorate...

The Objective of the paper is to develop a new asymmetric hyperchaotic system with more complexity. The system has two dissimilar equilibrium points. Non-uniform contraction and expansion of volume in phase space is also an important property of the proposed system. A hyperchaotic system with above characteristics is first time reported here. Details theoretical and numerical analyses of the pr...

Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers determinations of the stability of equilibria, nonlinear parametric excitation has as its goal the structure of the phase space, as given by a portrait of the Poincare map. In this article, perturbat...

In this paper, the dynamic characteristics of fractional Duffing system are analyzed and studied by using improved short memory principle method. This method has small amount calculation high precision, can effectively improve problem large caused order. The influence frequency change on performance is nonlinear analysis methods, such as Phase Portrait, Poincare Map Bifurcation Diagram. Moreove...

in this paper, we prove that every metric line in the poincare ball model of hyperbolic geometry is exactly a classical line of itself. we also proved nonexistence of periodic lines in the poincare ball model of hyperbolic geometry.

In the current study, we explore sensitivity of actuation dynamics electromechanical systems on novel materials, e.g., Bi2Se3, which is a well-known 3D Topological Insulator (TI), and compare their response to metallic conductors, Au, that are currently used in devices. Bifurcation phase portraits analysis conservative suggest strong difference between conduction states Bi2Se3 Au yields suffici...

Poincare plots are commonly used to study nonlinear behaviour of physiologic signals. Analysis of Poincare plots for various lags can provide interesting insights into the autonomic control of the heart. Furthermore, the width of Poincare plots can be considered as a criterion of short-term variability in heart rate signals. The hypothesis that Poincare plot indexes of heart rate variability (H...