Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
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]
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
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
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
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]
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
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Bifurcations and chaos in a novel discrete economic system
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
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
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
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

