FLIP BIFURCATION WITH RANDOM EXCITATION
Journal of Applied Analysis & Computation, 2022 Summary: In this paper, flip bifurcation with random excitation is studied by employing the methods of normal forms, Picard iterations and orthogonal polynomial approximation. For the codimension one case, a Neimark-Sacker bifurcation, a 1:2 resonance and a fold-flip bifurcation are detected.
Diandian Tang, Jingli Ren
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Periodic gaits and flip bifurcation of a biped robot walking on level ground with two feasible switching patterns of motion [PDF]
Proceedings of the Royal Society A, 2023 In this article, a biped robot walking on horizontal ground with two feasible switching patterns of motion (two-phase gait and three-phase gait) is presented.
Guanfeng Zhou +3 more
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Discrete and Continuous Dynamical Systems - Series B, 2021 The Bose-Hubbard dimer model is a celebrated fundamental quantum mechanical model that accounts for the dynamics of bosons at two interacting sites. It has been realized experimentally by two coupled, driven and lossy photonic crystal nanocavities, which
Andrus Giraldo +2 more
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New Bifurcation Critical Criterion of Flip-Neimark-Sacker Bifurcations for Two-Parameterized Family of n-Dimensional Discrete Systems [PDF]
Discrete Dynamics in Nature and Society, 2012 A new bifurcation critical criterion of flip-Neimark-Sacker bifurcation is proposed for detecting or anticontrolling this type of codimension-two bifurcation of discrete systems in a general sense. The criterion is built on the properties of coefficients
Shengji Yao
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Stability and flip bifurcation of a three dimensional exponential system of difference equations [PDF]
Mathematical methods in the applied sciences, 2020 In this paper, we study the stability of the zero equilibrium and the occurrence of flip bifurcation of the following system of difference equations: xn+1=a1ynb1+yn+c1xnek1−d1xn1+ek1−d1xn, yn+1=a2znb2+zn+c2ynek2−d2yn1+ek2−d2yn, zn+1=a3xnb3+xn+c3znek3 ...
Chrysoula Mylona +2 more
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Discrete-time predator-prey model with flip bifurcation and chaos control
Mathematical biosciences and engineering : MBE, 2020 We explore the local dynamics, flip bifurcation, chaos control and existence of periodic point of the predator-prey model with Allee effect on the prey population in the interior of $\mathbb{R}^*{_+^2}$.
Abdul Qadeer Khan +4 more
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Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model [PDF]
IEEE Access, 2019 In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li +4 more
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Self-Organized Patterns Induced by Neimark-Sacker, Flip and Turing Bifurcations in a Discrete Predator-Prey Model with Lesie-Gower Functional Response [PDF]
Entropy, 2017 The formation of self-organized patterns in predator-prey models has been a very hot topic recently. The dynamics of these models, bifurcations and pattern formations are so complex that studies are urgently needed.
Feifan Zhang +5 more
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Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes on itself in an orientable or nonorientable way, provided the corresponding
Andrus Giraldo +2 more
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Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
PLoS ONEIn this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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