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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, Meisheng Li, Bohan Ma, Jie Sheng
The simulation of the Heteroclinic Loop and Homoclinic Loop in a controlled Chen system is finished. The controlled Chen system is Z 2 symmetric, and the limit cycle loop or the attractor is observed as a varying free parameter. As the loop becomes the bounda…
Rostand Martial Davy Loembe Souamy, Pingjiang Guo, Xianfan Chun, Baowen Xu, Honghua Wang, Christian Tathy, 1 1
The study proposes a backstepping controller that omits cubic (third-order) terms to suppress chaotic motion in a two-state symmetric gyroscope. A Lyapunov-based proof claims global asymptotic stability, and numerical simulations illustrate state convergence…
Xiaoxue Xia, Yujuan Gao, Yuting Ding
Hyphantria cunea ( H. cunea for short) causes serious forest pests and diseases, whereas its parasitic natural enemy, Chouioia cunea Yang ( C. cunea for short) can effectively control the amount of H. cunea . Considering the eclosion time of pupae, nonlocal c…
Suqi Ma, S. J. Hogan
The Hopfield system is an artificial neuron model that can be applied to neuron memory and information processing. Like synaptic connections of neurons, the inhibition or excitable feedback often incorporate delay effects, which are either discrete or distrib…
Salif Koné, 1 1
Geostatistical Kriging is performed on hydrologic model parameters in a two-dimensional region—different from the geographical space—as a hydrospace. The x-axis in percent is a relative difference of soil characteristics between an embedded 12 watersheds in r…
Wei Yang
Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems wi…
Hugo Ramón Olmedo Mareco
This work predicts theoretically the phase portrait including the existence and uniqueness of ω -limit cycle for an initial value problem y ( 0 ) = y 0 with an ordinary differential equation y ′ + p y = f in which p and f are L -periodic piecewise continuous…
Suqi Ma, S. J. Hogan
The DDE-Biftool software is applied to solve the dynamical stability and bifurcation problem of the neutrophil cells model. Based on Hopf point finding with the stability property of the equilibrium solution loss, the continuation of the bifurcating periodica…
Yu-Ming Yan, Min-Hong Yang, Ying Lin, Lu-Di Chen, Xiao-Liang Zhou
In this paper, the dynamical properties of Smith type diffusion model with Dirichlet boundary conditions are studied. The properties of hyperbolic fixed points and non-hyperbolic fixed points of the model are analyzed. By using the central manifold theorem, t…
Suqi Ma, Bohan Ma, Xinping Wang
The computation of stable or unstable manifold of two-dimensional is developed, which is an efficient method in studying stable structure analysis of system character geometrically. The Lorentz stable manifold is computed by the fixed arclength method and the…
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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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