Results 21 to 30 of about 13,882 (205)
Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
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Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor
Mathematical Biosciences and Engineering, 2022 In this paper, we investigate the complex dynamics of a classical discrete-time prey-predator system with the cost of anti-predator behaviors. We first give the existence and stability of fixed points of this system.
Ceyu Lei , Xiaoling Han , Weiming Wang
doaj +1 more source
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
doaj
Dynamics of a nonlinear discrete predator-prey system with fear effect
AIMS Mathematics, 2023 In this paper, we investigate a nonlinear discrete prey-predator system with fear effects. The existence, local stability and boundedness of positive equilibrium point are discussed.
Xiongxiong Du, Xiaoling Han , Ceyu Lei
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Mathematical Biosciences and Engineering, 2020 The continuous predator-prey model is one of the main models studied in recent years. The dynamical properties of these models are so complex that it is an urgent topic to be studied.
Yangyang Li +2 more
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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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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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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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Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model
Mathematical Modelling and Numerical Simulation with Applications, 2021 This paper focuses on introducing a two-dimensional discrete-time chemical model and the existence of its fixed points. Also, the one and two-parameter bifurcations of the model are investigated. Bifurcation analysis is based on numerical normal forms. The flip (period-doubling) and generalized flip bifurcations are detected for this model.
NAİK, Parvaiz Ahmad +2 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
doaj +1 more source