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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]
For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Akhmet, M. U., Kashkynbayev, A.
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Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations [PDF]
The global bifurcation diagrams for two different one-parametric perturbations ($$+\lambda x$$ + λ x and $$+\lambda x^2$$ + λ x 2 ) of a dissipative scalar nonautonomous ordinary differential equation $$x'=f(t,x)$$ x ′ = f
J. Duenas, C. N'unez, R. Obaya
semanticscholar +1 more source
A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M.+2 more
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Slow Passage Through a Pitchfork Bifurcation [PDF]
This paper deals with a class of second-order differential equations with a slowly varying bifurcation parameter. The parameter slowly varies through a critical value corresponding to a transition from a stable equilibrium to one of the two stable branches of an intersecting parabolic curve.
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Hopf-zero bifurcation of Oregonator oscillator with delay
In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by performing a center manifold reduction and using
Yuting Cai, Liqin Liu, Chunrui Zhang
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This paper is concerned with how the singularity and delay in a feed forward neural network affect generic dynamics and bifurcations. By computation of Hopf-pitchfork point in a two-parameter nonlinear problem, the mode interactions in two parameters ...
Wenlong Wang, Chunrui Zhang
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Multi-agent decision-making dynamics inspired by honeybees [PDF]
When choosing between candidate nest sites, a honeybee swarm reliably chooses the most valuable site and even when faced with the choice between near-equal value sites, it makes highly efficient decisions.
Franci, Alessio+3 more
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Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species
We propose and study a class of discrete-time commensalism systems with additive Allee effects on the host species. First, the single species with additive Allee effects is analyzed for existence and stability, then the existence of fixed points of ...
Yanbo Chong+3 more
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Complex Bifurcation from Real Paths [PDF]
A new bifurcation phenomenon, called complex bifurcation, is studied. The basic idea is simply that real solution paths of real analytic problems frequently have complex paths bifurcating from them. It is shown that this phenomenon occurs at fold points,
Henderson, M. E., Keller, H. B.
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The continuous separation and filtration of particles immersed in fluid flows are important interests in various applications. Although the inertial focusing of particles suspended in a duct flow is promising in microfluidics, predicting the focusing ...
Hiroshi Yamashita+2 more
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