Results 21 to 30 of about 145,268 (214)
Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System
Chaos Theory and Applications, 2023 This study examines discrete-time T system. We begin by listing the topological divisions of the system's fixed points. Then, we analytically demonstrate that a discrete T system sits at the foundation of a Neimark Sacker(NS) bifurcation under specific ...
Sarker Md Sohel Rana
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Stability and bifurcation analysis for a single-species discrete model with stage structure
Advances in Difference Equations, 2018 In this paper, a single-species discrete model with stage structure is investigated. By analyzing the corresponding characteristic equations, the local asymptotic stability of non-negative equilibrium points and the existence of flip bifurcation are ...
Daiyong Wu, Min Zhao, Hai Zhang
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Analysis of chaotic dynamics: A fractional order glycolysis model [PDF]
Network Biology, 2022 Glycolysis model has been considered by Caputo fractional derivative. We give the topological classifications of fixed points of this model. Then, we show analytically that under certain parametric conditions fractional order glycolysis model underlies a
Md. Jasim Uddin, S. M. Sohel Rana
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Stability Analysis of a Discrete Time Prey-Predator Population Model with Immigration
Cumhuriyet Science Journal, 2020 In this paper, a discrete-time prey-predator population model with immigration which is obtained by implementing forward Euler’s scheme has been considered. The existence of fixed points of the presented model has been investigated.
Hatice Kılıç +2 more
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Open Mathematics, 2022 In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin +3 more
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Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
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Local and global bifurcation phenomena [PDF]
, 1983 Bifurcation, global non-uniqueness and stability of solutions to the plane-strain problem of an incompressible isotropic elastic material subject to in-plane dead-load tractions are considered.
Ogden, R W
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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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Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
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Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model
Advances in Difference Equations, 2019 In this paper, bifurcation analysis of a discrete Hindmarsh–Rose model is carried out in the plane. This paper shows that the model undergoes a flip bifurcation, a Neimark–Sacker bifurcation, and 1:2 $1:2$ resonance which includes a pitchfork bifurcation,
Bo Li, Qizhi He
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