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International Journal of Modern Nonlinear Theory and Application (IJMNTA) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of no…
Suqi Ma
A van der Pol equation underlying state feedback control is investigated and the triple-zero bifurcation arises at the bifurcation point which is of codimension three singularity. By applying Schmidt-Lyapunov reduction method combined with center manifold ana…
Suqi Ma Ma
The infinite dimensional partial delay differential equation is set forth and delay difference state feedback control is considered to describe the cell cycle growth in eukaryotic cell cycles. Hopf bifurcation occurs as varying free parameters and time delay…
Nurgul Bedelova, Avyt Asanov, Zhypar Orozmamatova, Zhypargul Abdullaeva
The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further develop…
Yerko Aguilera-Carvajal, Yonathan Tapia Robledo, Sebastián Perez Cortes
The current study is based on the DEM computer simulation of three experimental test devices with different dimensions to determine the difference in the results of the formation of shear and repose angles that the particles experience when grouped under the…
S. Q. Ma
The HIV problem is studied by version of delay mathematical models which consider the apoptosis of uninfected CD4 + T cells which cultured with infected T cells in big volume. The opportunistic infection and the apoptosis of uninfected CD4 + T cells are cause…
S. Q. Ma
G 0 /G 1 “gaps” joint the S phase and M phase to form the cell cycle. The dynamics of enzyme reaction to drive the target protein production in M phase is analyzed mathematically. Time delay is introduced since the signal transmission need time in G 0 /G 1 “g…
Suqi Ma
The observed dynamical property illustrates that state feedback control may stabilize invariant attractor to stable state in a simple version of hematopoietic stem cell model. The stability character of the positive steady state is analyzed by the computation…
Ayman E. M. Ahmed, Mohamed Zohdy
In order to deal with unmodeled dynamics in large vehicle systems, which have an ill condition of the state matrix, the use of model order reduction methods is a good approach. This article presents a new construction of the sliding mode controller for singul…
Wenbing Wu, Rihua Liu
Although mechanical vibration is extremely complicated, each fault signal produced by it has its own inherent features, The distinction may be most prominent between the certain components hidden in those features and the same components of normal signals. Th…
Guoguang Lin, Yalan Yang
The initial boundary value problems for a class of high order Kirchhoff type equations with nonlinear strongly damped terms are considered. We establish the existence and uniqueness of the global solution of the problem by using prior estimates and Galerkin’s…
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International Journal of Modern Nonlinear Theory and Application (IJMNTA) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of no… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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