<?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></records></xml>