Suchergebnisse - Difference and functional equations Difference equations Bifurcation theory

Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA von Gumel, Abba B., AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations

“… finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well …”
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Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation von ur Rahman, Mati, Sun, Mei, Boulaaras, Salah, Baleanu, Dumitru

“… We then employ principles from planar dynamical systems theory to explore the bifurcation phenomena exhibited within this derived system …”
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Stability and Neimark–Sacker Bifurcation of Certain Mixed Monotone Rational Second-Order Difference Equation von Nurkanović, Zehra, Nurkanović, Mehmed, Garić-Demirović, Mirela

“… This paper investigates the local and global character of the unique positive equilibrium of certain mixed monotone rational second-order difference equation with quadratic terms …”
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Stability and Hopf bifurcation of a predator-prey model with Smith growth rate and Monod–Haldane functional response von Feng, Xiaozhou, Li, Kunyu, Liu, Mengyan, Wang, Lin, Wang, Tonghui

“… Then considering the non-uniform distribution of populations in nature, by standard linear operator theory and center manifold theorem, the Turing instability and the Hopf bifurcation of the PDE …”
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Chaos, control, and synchronization in some fractional-order difference equations von Khennaoui, Amina-Aicha, Ouannas, Adel, Bendoukha, Samir, Grassi, Giuseppe, Wang, Xiong, Pham, Viet-Thanh, Alsaadi, Fawaz E.

“… , Rössler, and Wang maps. The dynamics of the proposed fractional maps are investigated experimentally by means of phase portraits, bifurcation diagrams, and Lyapunov exponents …”
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Combinatorial perturbation analysis of CD4+ T cell regulatory networks based on bifurcation theory von Lu, Xiaoqi, Hu, Qing, Xue, Zhuozhen, Wang, Ruiqi

“… Based on the bifurcation theory, we conduct a systematic perturbation analysis of the CD4 …”
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Bifurcations and Exact Traveling Wave Solutions for the Generalized Alexeyev’s A± Equation: Bifurcations and Exact von Zhou, Yan, Zhuang, Jinsen, Li, Jibin

“… A ± equation, which we construct from the Alexeyev’s A ± equation. Based on the theory of dynamical system, we study the corresponding traveling wave system and bifurcations of its phase orbit portraits …”
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The Dynamics on Soliton Molecules and Soliton Bifurcation for an Extended Generalization of Vakhnenko Equation von Ma, Yu-Lan, Li, Bang-Qing

“… By choosing suitable parameters involved in the solutions, we identify the presence of soliton molecules and soliton bifurcation in the equation …”
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Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles von Alizadeh, Farzaneh, Hosseini, Kamyar, Sirisubtawee, Sekson, Hincal, Evren

“… Furthermore, the research extends into the realm of bifurcation analysis through the application of planar dynamical system theory …”
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The Exact Solutions of the Shynaray-IIA Equation Along with Analysis of Bifurcation and Chaotic Behaviors: The Exact Solutions of the Shynaray-IIA Equation von Sağlam Özkan, Yeşim

“… Thanks to the well-known bifurcation theory, phase portraits for nonlinear traveling wave solutions have been investigated …”
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Bifurcation, Phase Portrait and Traveling Wave Solutions of the Coupled Fractional Lakshmanan–Porsezian–Daniel Equation von Liu, Jing, Li, Zhao, He, Lin, Liu, Wei

“… –Daniel equation by using the dynamical system bifurcation theory approach. Based on phase portrait, we obtain some new traveling wave solutions, which include Jacobi …”
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Bifurcation and chaos in a discrete Holling–Tanner model with Beddington–DeAngelis functional response von Yang, Run, Zhao, Jianglin

“… The permanence and local stability of fixed points for the model are derived. The center manifold theorem and bifurcation theory are used to show that the model can undergo flip and Hopf bifurcations …”
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Bifurcation Analysis and Soliton Solutions to the Kuralay Equation Via Dynamic System Analysis Method and Complete Discrimination System Method von Liu, Jing, Li, Zhao

“… In this paper, the dynamical system bifurcation theory approach are employed to investigate the phase diagrams of the magnet-optic wave guides in Kuralay …”
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Bifurcation, chaos analysis and control in a discrete-time predator–prey system von Liu, Weiyi, Cai, Donghan

“… –Gower and Holling’s type II schemes is investigated on the basis of the normal form method as well as bifurcation and chaos theory …”
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Traveling Wave Solutions and Bifurcations for Generalized Fornberg–Whitham Equation with Parabolic Law Nonlinearity: Traveling Wave Solutions and Bifurcations for Generalized von Yang, Deniu

“… In this paper, the generalized Fornberg–Whitham equation with parabolic law nonlinearity is studied by the bifurcation method of differential equations and the method of phase portraits analysis …”
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Analytical Soliton Solutions to a (2 + 1)-Dimensional Variable Coefficients Graphene Sheets Equation Using the Application of Lie Symmetry Approach: Bifurcation Theory, Sensitivity Analysis and Chaotic Behavior: Analytical Soliton Solutions to a (2 + 1)-Dimensional Variable von Kumar, Sachin, Rani, Setu, Mann, Nikita

“… (vcGS) equation, which characterizes the thermophoric wave motion of wrinkles in graphene sheets …”
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Bifurcations and Exact Peakons, Periodic Peakons, Solitary Wave, Kink Wave Solutions for the Quartic CH-Type Equation: Bifurcations and Exact Peakons, Periodic Peakons, Solitary Wave von Yi, Xueqiong, Zhou, Yuqian, Liu, Qian, Li, Kebing, Zhang, Shengning

“… We introduce a novel quartic Camassa-Holm type equation and address their traveling wave solutions …”
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A Unified Analysis of Exact Traveling Wave Solutions for the Fractional-Order and Integer-Order Biswas–Milovic Equation: Via Bifurcation Theory of Dynamical System von Zhang, Bei, Zhu, Wenjing, Xia, Yonghui, Bai, Yuzhen

“… We use the conformable fractional derivatives. The method is based on the bifurcation theory of planar dynamical systems …”
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Bifurcation Analysis of a Leslie–Gower Predator–Prey Model with Allee Effect on Predator and Simplified Holling Type IV Functional Response: Bifurcation Analysis of a Leslie–Gower Predator–Prey von Zhang, Mengxin, Li, Zhong, Chen, Fengde, Chen, Lijuan

“… In this paper, a Leslie–Gower predator–prey model with simplified Holling type IV functional response and Allee effect on predator is studied …”
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Bifurcation Analysis of the Dynamics of an Unbalanced Rubber Ellipsoid of Revolution: Bifurcation Analysis of the Dynamics of an Unbalanced von Pivovarova, Elena N., Kilin, Alexander A.

“… A gyroscopic function is analyzed to examine bifurcations of partial solutions and to carry out a classification of all types of bifurcation diagrams according to parameters …”
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