Results 11 to 20 of about 78,418 (212)
Parameter Inference with Bifurcation Diagrams [PDF]
Advances in Neural Information Processing Systems, 34 (2021), 2021 Estimation of parameters in differential equation models can be achieved by applying learning algorithms to quantitative time-series data. However, sometimes it is only possible to measure qualitative changes of a system in response to a controlled condition.
Szep, Gregory +2 more
arxiv +3 more sources
Bifurcation Diagrams and Generalized Bifurcation Diagrams for a rotational model of an oblate satellite [PDF]
arXiv, 2013 This paper presents bifurcation and generalized bifurcation diagrams for a rotational model of an oblate satellite. Special attention is paid to parameter values describing one of Saturn's moons, Hyperion. For various oblateness the largest Lyapunov Characteristic Exponent (LCE) is plotted.
arxiv +3 more sources
The bifurcation diagrams for the Ginzburg–Landau system of superconductivity [PDF]
Physica D: Nonlinear Phenomena, 2002 In this paper, we provide the different types of bifurcation diagrams for a superconducting cylinder placed in a magnetic field along the direction of the axis of the cylinder. The computation is based on the numerical solutions of the Ginzburg-Landau model by the finite element method. The response of the material depends on the values of the exterior
Amandine Aftalion, Qiang Du
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Generic families of matrix pencils and their bifurcation diagrams [PDF]
Linear Algebra and its Applications, 2001 19 ...
María Isabel García Planas +1 more
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The bifurcation diagram of a wavelet function
Acta Physica Sinica, 2006 The bifurcation diagram of a wavelet function is discussed in the paper. The chaotic property of the map is changed with the variations of the constant k. Its μ-y diagram shows specially that there are bifurcations not only from period-2n to chaotic state but also from the chaotic state to period-2n when the parameter μ increases.
Yu Wan-Bo, Wei Xiao-peng
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On logical bifurcation diagrams [PDF]
Journal of Theoretical Biology, 2019 Bifurcation theory provides a powerful framework to analyze the dynamics of differential systems as a function of specific parameters. Abou-Jaoudé et al. (2009) introduced the concept of logical bifurcation diagrams, an analog of bifurcation diagrams for the logical modeling framework. In this work, we propose a formal definition of this concept. Since
Wassim Abou-Jaoudé, Pedro T. Monteiro
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The Extended Milling Bifurcation Diagram
Procedia Manufacturing, 2015 AbstractThis paper describes the extended milling bifurcation diagram which can be used to gain fundamental new insights into milling dynamics. The diagram is constructed using numerical simulation techniques and provides both stability behavior (such as Hopf and period-n bifurcations) and vibration amplitudes under stable and unstable conditions.
Tony L. Schmitz, Andrew Honeycutt
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On the global bifurcation diagram of the Gelfand problem [PDF]
Analysis & PDE, 2021 Intro has been expanded. References has been added.
Bartolucci, D., Jevnikar, A.
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Classical Bifurcation Diagrams by Quantum Means [PDF]
Annalen der Physik, 2017 Asymptotic state of an open quantum system may change substantially upon variations of system parameters. These changes can be often identified as bifurcation transitions in the classical mean‐filed equations describing evolution of the relevant observables.
Ivanchenko, Mikhail V. +5 more
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Bifurcation diagrams of population models with nonlinear, diffusion
Journal of Computational and Applied Mathematics, 2005 AbstractWe develop analytical and numerical tools for the equilibrium solutions of a class of reaction–diffusion models with nonlinear diffusion rates. Such equations arise from population biology and material sciences. We obtain global bifurcation diagrams for various nonlinear diffusion functions and several growth rate functions.
Young He Lee +3 more
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