Development and evaluation of the organization`s logistics strategy based on the application of bifurcation theory by M. Yu. Uchirova, L. A. Ilin, S. V. Khudyakov

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Voltage Stability Analysis of Front-End Speed Controlled Wind Turbine Integrated into Regional Power Grid Based on Bifurcation Theory by Kaide Ren, Hongwei Li, Shuaibing Li, Haiying Dong

“…Based on that, the influence of the reactive power variation and wind speed fluctuation on the stability of system voltage is analyzed through both the bifurcation theory and the time-domain simulation. Results show that the Hopf bifurcation (HB) and the saddle-node bifurcation (SNB) are inherited for the system, indicating that such bifurcations are the essence of nonlinear dynamics that lead to voltage instability. …”
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Experiment and Theoretical Analysis Study of ETFE Inflatable Tubes by YanLi He, WuJun Chen

“…Results obtained from the bifurcation theory and experiment reveal the limitations of tension field theory on the wrinkling analysis. …”
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Global Bifurcation Structure of a Predator-Prey System with a Spatial Degeneracy and B-D Functional Response by Xiaozhou Feng, Changtong Li, Hao Sun, Yuzhen Wang

“…First, for the case of the weak growth rate on the prey (λ1Ω<a<λ1Ω0), a priori estimates on any positive steady-state solutions are established by the comparison principle; two local bifurcation solution branches depending on the bifurcation parameter are obtained by local bifurcation theory. Moreover, the demonstrated two local bifurcation solution branches can be extended to a bounded global bifurcation curve by the global bifurcation theory. …”
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Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations by Zhao Li, Peng Li, Tianyong Han

“…In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized Hirota–Satsuma coupled KdV equations are transformed into two-dimensional Hamiltonian system by traveling wave transformation and the bifurcation theory. …”
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Modified logistic differential equation of neutral type with time delay by Donatas Švitra

“…The stable periodic solution based on the bifurcation theory of that differential equation is constructed. …”
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Positive solutions of an asymptotically planar system of elliptic boundary value problems by F. J. S. A. Corrêa

“…It will be used as main tools for a Maximum Principle and a result on Bifurcation Theory.…”
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Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay by Yuanyuan Chen, Ya-Qing Bi

“…Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation. …”
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Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation by Masoud Mosaddeghi

“…By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized Zakharov equation are classified in to different parametric regions. …”
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Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation by Shengqiang Tang, Shu Xia

“…By using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. …”
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Positive Solutions for a General Gause-Type Predator-Prey Model with Monotonic Functional Response by Guohong Zhang, Xiaoli Wang

“…In addition, the local and global bifurcations from a semitrivial state are also investigated on the basis of bifurcation theory. The results indicate diffusion, and functional response does help to create stationary pattern.…”
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The Bifurcation of Two Invariant Closed Curves in a Discrete Model by Yingying Zhang, Yicang Zhou

“…The conditions for existence of these bifurcations are derived by using the center manifold and bifurcation theory. Numerical simulations and bifurcation diagrams exhibit the complex dynamical behaviors, especially the occurrence of two invariant closed curves.…”
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New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation by Yongan Xie, Shengqiang Tang

“…We study a class of high dispersive cubic-quintic nonlinear Schrödinger equations, which describes the propagation of femtosecond light pulses in a medium that exhibits a parabolic nonlinearity law. Applying bifurcation theory of dynamical systems and the Fan sub-equations method, more types of exact solutions, particularly solitary wave solutions, are obtained for the first time.…”
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Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity by Qing Meng, Bin He, Zhenyang Li

“…The (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. …”
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Complex Dynamics in Generalized Hénon Map by Meixiang Cai

“…The conditions of existence for fold bifurcation, flip bifurcation, and Hopf bifurcation are derived by using center manifold theorem and bifurcation theory and checked up by numerical simulations. …”
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Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System by Tianyong Han, Jiajin Wen, Zhao Li

“…On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. …”
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Dynamical Behavior of a Predator-Prey System Incorporating a Prey Refuge with Impulse Effect by Zuxiong Li, Xue Yang, Shengnan Fu

“…Further, by applying the bifurcation theory of impulsive differential equations, conditions under which the system has a positive periodic solution are obtained. …”
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Dynamic analysis and Chaos control in a discrete predator-prey model with Holling type IV and nonlinear harvesting by Karima Mokni, Mohamed Ch-Chaoui

“…This analysis utilizes bifurcation theory and the center manifold theorem. The chaos influenced by NSB is stabilized. …”
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Complex Dynamics and Chaos Control on a Kind of Bertrand Duopoly Game Model considering R&D Activities by Hongliang Tu, Xueli Zhan, Xiaobing Mao

“…We investigate the stability of the Nash equilibrium point and local stable conditions and stability region of the Nash equilibrium point by the bifurcation theory. The complex dynamic behaviors of the system are shown by numerical simulations. …”
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Hopf Bifurcation and Stability Analysis of a Congestion Control Model with Delay in Wireless Access Network by Wen-bo Zhao, Xiao-ke Sun, Huicheng Wang

“…The Hopf bifurcation of this system is investigated using the control and bifurcation theory; it is proved that there exists a critical value of delay for the stability. …”
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