Results 11 to 20 of about 153,706 (171)
Dynamical analysis of an iterative method with memory on a family of third-degree polynomials
AIMS Mathematics, 2022 Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we accomplish a complete dynamical study of
Beatriz Campos +3 more
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Multiple Bifurcations in the Periodic Orbit around Eros [PDF]
Astrophysics and space science (2016), 2016 We investigate the multiple bifurcations in periodic orbit families in the potential field of a highly irregular-shaped celestial body. Topological cases of periodic orbits and four kinds of basic bifurcations in periodic orbit families are studied. Multiple bifurcations in periodic orbit families consist of four kinds of basic bifurcations.
arxiv +1 more source
Traveling waves in a parabolic problem with a rotation on the circle [PDF]
Компьютерные исследования и моделирование, 2017 Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
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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
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Frontiers in Neurology, 2019 Background: Bifurcation and sidewall aneurysms have different rupture risks, but whether this difference comes from the location of the aneurysm is not clear.
Qinglin Liu +11 more
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Backward bifurcation and saddle-node bifurcation in virus-immune dynamics [PDF]
arXiv, 2021 Recently, Wang and Xu [ Appl. Math. Lett. 78 (2018) 105-111] studied thresholds and bi-stability in virus-immune dynamics. In this paper, we show there also exist backward bifurcation and saddle node bifurcation in this model. Our investigation demonstrates the existence of post-bifurcation phenomenon in the system when the immune strength was selected
arxiv
Stokes flows in a two-dimensional bifurcation [PDF]
, 2023 The flow network model is an established approach to approximate pressure-flow relationships in a bifurcating network, and has been widely used in many contexts. Existing models typically assume unidirectional flow and exploit Poiseuille's law, and thus neglect the impact of bifurcation geometry and finite-sized objects on the flow.
arxiv +1 more source
Dynamic analysis of a modified algae and fish model with aggregation and Allee effect
Mathematical Biosciences and Engineering, 2022 In the paper, under the stress of aggregation and reproduction mechanism of algae, we proposed a modified algae and fish model with aggregation and Allee effect, its main purpose was to further ascertain the dynamic relationship between algae and fish ...
Shengyu Huang +5 more
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On first subharmonic bifurcations in a branch of Stokes waves [PDF]
arXiv, 2023 Steady surface waves in a two-dimensional channel are considered. We study bifurcations, which occur on a branch of Stokes water waves starting from a uniform stream solution. Two types of bifurcations are considered: bifurcations in the class of Stokes waves (Stokes bifurcation) and bifurcations in a class of periodic waves with the period M times the
arxiv
On theoretical upper limits for valid timesteps of implicit ODE methods
AIMS Mathematics, 2019 Implicit methods for the numerical solution of initial-value problems may admit multiple solutions at any given time step. Accordingly, their nonlinear solvers may converge to any of these solutions.
Kevin R. Green +2 more
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