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Showing posts from May, 2016

IJOER: Volume-2, Issue-5, May 2016

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Stability and Hopf bifurcation for Kaldor-Kalecki model of business cycles with two time delaysAbstract Papers investigate a Kaldor-Kalecki model of business cycle system with two different delays, which described the interaction of the gross product and the capital product. We derived the conditions for the local stability and the existence of Hopf bifurcation at the equilibrium of the system. By applying the normal form theory and center manifold theory, some explicit formulate for determining the stability and the direction of the Hopf bifurcation periodic solutions are obtained. Some numerical simulations by using Mathematica software supported the theoretical results. Finally, main conclusions are given.KeywordsTwo delays, Hopf bifurcation, Stability, Business cycle, Normal form.Click here to Download Full Paper_______________________Study on Some Properties of Anti-centrosymmetric MatricesAbstract In this paper, the anti-centrosymmetric matrices have been researched. Accordin…

IJOER: Volume-2, Issue-4, April 2016

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Electron-acoustic solitons and double layers in a plasma system with Tsallis distributed hot electronsAbstract A theoretical investigation is carried out for understanding the properties of electron acoustic solitary waves and double layers in an unmagnetized plasma whose constituents are cold electron fluid, hot electrons obeying Tsallis distribution and stationary ions. The Sagdeev potential approach is employed to carry out the analysis. The amplitude and nature of electron-acoustic solitary waves (EASWs) and electron-acoustic double layers (EADLs) are found to be extremely sensitive to the degree of nonextensivity. It is found that the present plasma model supports only rarefactive solitons and double layers depending on the q nonextensive parameter. The investigation shows that solitary structure ceases to exist when the parameter q crosses a certain limit.KeywordsElectron acoustic wave, Solitons, Double layer, Tsallis distribution.Click here to Download Full Paper_____________…