Results 41 to 50 of about 13,646 (248)

Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation

open access: yesIEEE 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

Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model

open access: yesAdvances 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
doaj   +1 more source

Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System

open access: yesChaos 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
doaj   +1 more source

Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System

open access: yesMathematics, 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
doaj   +1 more source

Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting

open access: yesOpen 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
doaj   +1 more source

Bifurcations and chaotic behavior of a predator-prey model with discrete time

open access: yesAIMS Mathematics, 2023
In this paper, the dynamical behavior of a predator-prey model with discrete time is discussed in terms of both theoretical analysis and numerical simulation. The existence and stability of four equilibria are analyzed.
Binhao Hong , Chunrui Zhang
doaj   +1 more source

Rearrangements and Tunneling Splittings in Small Water Clusters

open access: yes, 1998
Recent far-infrared vibration-rotation tunneling (FIR-VRT) experiments pose new challenges to theory because the interpretation and prediction of such spectra requires a detailed understanding of the potential energy surface (PES) away from minima.
David J. Wales, Friedrich B.
core   +1 more source

Fermi Surface Nesting and Anomalous Hall Effect in Magnetically Frustrated Mn2PdIn

open access: yesAdvanced Functional Materials, EarlyView.
Mn2PdIn, a frustrated inverse Heusler alloy, showing electronic‐structure driven anomalous Hall effect with Weyl crossings, Fermi‐surface nesting and near‐zero magnetization ideal for low‐magnetization spintronics. Abstract Noncollinear magnets with near‐zero net magnetization and nontrivial bulk electronic topology hold significant promise for ...
Afsar Ahmed   +7 more
wiley   +1 more source

Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism

open access: yes, 2010
We investigate a population dynamics model that exhibits a Neimark Sacker bifurcation with a period that is naturally close to 4. Beyond the bifurcation, the period becomes soon locked at 4 due to a strong resonance, and a second attractor of period 2 ...
A. Pikovsky   +8 more
core   +1 more source

Rapid Glass‐Substrate Digital Light 3D Printing Enables Anatomically Accurate Stroke Patient‐Specific Carotid Artery‐on‐Chips for Personalized Thrombosis Investigation

open access: yesAdvanced Materials, EarlyView.
A rapid glass‐substrate 3D microfabrication method creates anatomically accurate carotid artery‐on‐a‐chip models from stroke patient scans in 2 h. These miniaturized devices replicate patient‐specific blood vessel geometry and flow patterns, enabling real‐time imaging of clot formation under controlled injury.
Yunduo Charles Zhao   +14 more
wiley   +1 more source

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