<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ANUJ KUMAR</style></author><author><style face="normal" font="default" size="100%">A.K. AGRAWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF HOPF-BIFURCATION IN A 6-DIMENSIONAL SYSTEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Existence of Hopf-Bifurcation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65F99</style></keyword><keyword><style  face="normal" font="default" size="100%">93C15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we discover a set of conditions for the existence of Hopf-bifurcation in a system of 6- dimensional ordinary differential equations. Here, we find these conditions in terms of the coefficients of the characteristic equation of Jacobi matrix corresponding to the equilibrium point. These conditions are also helpful in normal form theory of 6- dimensional system to study the direction of Hopf-bifurcation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">119</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">IHOR L. IVANOV</style></author><author><style face="normal" font="default" size="100%">ANATOLIY A. MARTYNYUK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY RESULTS FOR DELAY POWER SYSTEM UNDER IMPULSIVE PERTURBATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword><keyword><style  face="normal" font="default" size="100%">93C15</style></keyword><keyword><style  face="normal" font="default" size="100%">93D30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;An impulsive delay model for electric power system with control has been proposed. For the proposed model sufficient conditions of asymptotic stability has been established via direct Lyapunov method using discontinuous unbounded Lyapunov function.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">275</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">IANNA H WEST</style></author><author><style face="normal" font="default" size="100%">A.S. VATSALA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZED MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE DIFFERENTIAL SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GENERALIZED MONOTONE ITERATIVE TECHNIQUE</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60.</style></keyword><keyword><style  face="normal" font="default" size="100%">93C15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">310</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Systems of differential equations with impulses can occur in the mathematical modeling of science and engineering. Using upper and lower solutions, we will develop the generalized monotone iterative method for impulsive differential systems where the forcing functions are sums of nondecreasing and nonincreasing functions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">301</style></section></record></records></xml>