Results 21 to 30 of about 311,588 (266)
Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
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Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells
Nonlinear Analysis, 2021 Prostate cancer represents the second most common cancer diagnosed in men and the fifth most common cause of death from cancer worldwide. In this paper, we consider a nonlinear mathematical model exploring the role of neuroendocrine transdifferentiation ...
Leo Turner +2 more
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Transition to chaos in the «reaction-diffusion» systems. The simplest models [PDF]
Компьютерные исследования и моделирование, 2014 The article discusses the emergence of chaotic attractors in the system of three ordinary differential equations arising in the theory of «reaction-diffusion» systems. The dynamics of the corresponding one- and two-dimensional maps and Lyapunov exponents
Dmitry Sergeevich Faller +1 more
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Iatrogenic Left Main Coronary Artery Dissection Treated with Bare Metal Stents: A Case with Twelve Years Angiographic Follow-up [PDF]
Journal of Clinical and Diagnostic Research, 2021 Complications during the course of Percutaneous Coronary Interventions (PCI) are common. One of the complications is iatrogenic Left Main Coronary Artery (LMCA) dissection, which is considered as lethal in nature and prevails in around 0.07% PCI cases ...
Shuvanan Ray +2 more
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The Pitchfork Bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2017 We present the development of a new theory of the pitchfork bifurcation, which removes the perspective of the third derivative and a requirement of symmetry.
Indika Rajapakse, Steve Smale
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Bifurcation of Hyperbolic Planforms [PDF]
Journal of Nonlinear Science, 2011 Motivated by a model for the perception of textures by the visual cortex in primates, we analyse the bifurcation of periodic patterns for nonlinear equations describing the state of a system defined on the space of structure tensors, when these equations are further invariant with respect to the isometries of this space.
Chossat, Pascal +2 more
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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
Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Abstract and Applied Analysis, 2013 The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
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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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