Results 31 to 40 of about 13,897 (205)

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

Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]

open access: yes, 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
core   +2 more sources

Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model

open access: yesMathematical 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
openaire   +3 more sources

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

Chaotic dynamics of the fractional order Schnakenberg model and its control

open access: yesMathematics in Applied Sciences and Engineering, 2023
The Schnakenberg model is thought to be the Caputo fractional derivative. In order to create caputo fractional differential equations for the Schnakenberg model, a discretization process is first used.
Md. Jasim Uddin, S. M. Sohel Rana
doaj   +1 more source

Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points. A local bifurcation analysis of the system using center manifold theory is undertaken and then supported by numerical computations.
A. Mareno, L. Q. English
openaire   +3 more sources

Bifurcations and chaos in a novel discrete economic system

open access: yesAdvances in Mechanical Engineering, 2019
In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
doaj   +1 more source

Border Collision Bifurcations in Two Dimensional Piecewise Smooth Maps

open access: yes, 1999
Recent investigations on the bifurcations in switching circuits have shown that many atypical bifurcations can occur in piecewise smooth maps which can not be classified among the generic cases like saddle-node, pitchfork or Hopf bifurcations occurring ...
Banerjee, Soumitro, Grebogi, Celso
core   +2 more sources

Additive Manufacturing of Patient‐Specific Intracranial Aneurysm Cell Culture Models

open access: yesAdvanced Materials Technologies, EarlyView.
Patient‐specific intracranial aneurysm models were fabricated using chocolate moulding, 3D printed water‐soluble cores, and direct resin 3D printing. Moulding PDMS around sacrificial cores made of chocolate or 3D printed water‐soluble resin yielded accurate, expandable, and endothelializable models that outperformed resin‐based approaches.
Chloe M. de Nys   +6 more
wiley   +1 more source

Photoluminescence Path Bifurcations by Spin Flip in Two-Dimensional CrPS4

open access: yesACS Nano, 2022
Ultrathin layered crystals of coordinated chromium(III) are promising not only as two-dimensional (2D) magnets but also as 2D near-infrared (NIR) emitters owing to long-range spin correlation and efficient transition between high and low-spin excited states of Cr3+ ions. In this study, we report on dual-band NIR photoluminescence (PL) of CrPS4 and show
Suhyeon Kim   +8 more
openaire   +3 more sources

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