http://www.sci-en-tech.com/IJNI/index.php/Math/issue/feedInternational Journal of Novel Ideas: Mathematics2018-03-21T11:21:40+00:00Joanne Wangscientechpublisher@gmail.comOpen Journal Systems<p><strong>Aims & Scope</strong></p> <p style="margin: 0in; margin-bottom: .0001pt;">The purpose of this journal is to provide a forum for the fast online publication and dissemination of original novel ideas in the area related to mathematics. The ideas, theory, methods and techniques should be innovative and of high scientific and potentially practical value in solving mathematical problems. The topics include:</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Theory and application of functional analysis;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Ordinary differential equations;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Partial differential equations;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Stochastic differential equations;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Topological dynamics;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Nonlinear phenomena;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Theory and practice of optimization;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Theory of probability and its applications;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Bio-mathematics;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Financial mathematics;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Matrix analysis and applications;</p> <p style="margin: 0in; margin-bottom: .0001pt;">• Any other mathematics problems.</p> <p style="margin: 0in; margin-bottom: .0001pt;">The journal places a great emphasis on novelty of the ideas. It opens to all age groups and all disciplines in mathematics and applied mathematics, regardless of religion, sex, and age, and nationality. We are after for novel ideas.</p> <p style="margin: 0in; margin-bottom: .0001pt;">When preparing for paper submission, please download <a title="paper template" href="http://www.sci-en-tech.com/Journals/JournalTemplate.zip">paper template</a></p> <p style="margin: 0in; margin-bottom: .0001pt;"> </p>http://www.sci-en-tech.com/IJNI/index.php/Math/article/view/116 Sucient, necessary and i conditions of the stability of the coecients-time-varying linear system with time delays2018-03-21T11:21:40+00:00Lijun Peipeilijun@zzu.edu.cnFuyong Chenpeilijun@zzu.edu.cn<p>Due to appearance of time-varying mechanisms (such as ornithopter, exiblewing micro air vehicles, etc.), time-varying systems become more and more important and ubiquitous. Their bifurcation theory must base on property of their solutions and sucient and necessary conditions of equilibria. In this paper, based on previous few works, rstly sucient conditions of uniform asymptotic stability are successfully obtained for delayed time-varying linear (LTVD) system with any time delay employing Dini derivative, Lozinskii measure and generalized scalar Halanay delayed dierential inequality, especially on estimate of arbitrary solutions but not fundamental solution matrix since its solutions' space is innite. Then sucient, necessary and i conditions of stability, asymptotic stability and uniform asymptotic stability of LTVD system with suciently small time delay are obtained successfully employing Taylor expansion and Dini derivative. It implies that these stabilities can be judged by Lozinskii measure of matrix composing of time delay and coecient matrixes A(t) and B(t).</p>2018-03-20T00:00:00+00:00##submission.copyrightStatement##http://www.sci-en-tech.com/IJNI/index.php/Math/article/view/117 Generalized synchronization of the coupled heterogeneous chaotic systems by the inertial manifold approach2018-03-21T11:21:40+00:00Lijun Peipeilijun@zzu.edu.cnYiqun Lipeilijun@zzu.edu.cnXiaoge Lipeilijun@zzu.edu.cn<p>In this paper, the generalized synchronization of the coupled hetero-<br>geneous chaotic systems is considered. The stability of the synchroniza-<br>tion is equivalent to and depends completely on the asymptotic stability<br>or attractivity of the synchronization manifolds. The analytical results of<br>the existence, global but not local asymptotic stability or attractivity of<br>the generalized synchronization are obtained without knowing what's the<br>generalized synchronization manifold by the inertial manifold approach. The<br>numerical simulations show that only the linear coupling can make the slave<br>chaotic systems deform or even simpler, i.e., their one or two state variables<br>become zero.</p>2018-03-21T04:35:39+00:00##submission.copyrightStatement##