Results 21 to 30 of about 742 (244)
Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species
Axioms, 2023 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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Micromachines, 2021 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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International Journal of Mathematics and Mathematical Sciences, 2022 In this paper, we employ the logistic map and the cubic map to locate the relaxation and the convergence to the periodic fixed point of a system, specifically, the period—1 fixed point.
Patrick Akwasi Anamuah Mensah +4 more
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Chua’s oscillator: an introductory approach to chaos theory [PDF]
Revista Brasileira de Ensino de Física, 2020 The purpose of this article is to build an introductory approach to chaos theory from the Chua’ oscillator for students of mathematics, physics and engineering.
Alexandre Sordi
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Ibn Al-Haitham Journal for Pure and Applied SciencesIn this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established.
Asmaa Aziz, Azhar Abbas Majeed
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Non-smooth pitchfork bifurcations
Discrete & Continuous Dynamical Systems - B, 2004 The author considers the relationship between the blow-out bifurcation and another bifurcation which creates a pair of stable invariant curves and can properly be called a generalized pitchfork bifurcation. The goal of this paper is to show that the two types of bifurcation (generalized) described above are really part of the same generalized ...
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A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits [PDF]
International Journal of Bifurcation and Chaos, 2018 We study stochastic bifurcation for a system under multiplicative stable Lévy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium states with its most probable phase portraits. We have found some peculiar bifurcation phenomena in contrast to the deterministic counterpart: (i) When the non-Gaussianity ...
Hui Wang, Xiaoli Chen, Jinqiao Duan
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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Entropy, 2013 Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel +2 more
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Unleashing the Power of Machine Learning in Nanomedicine Formulation Development
Advanced Functional Materials, EarlyView.A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore +7 more
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Sequence of Routes to Chaos in a Lorenz-Type System
Discrete Dynamics in Nature and Society, 2020 This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is composed of a main bifurcation route to chaos (n=1) and a sequence of sub-bifurcation routes with n=3,4,5,…,14 isolated sub-branches to chaos.
Fangyan Yang +3 more
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