Results 11 to 20 of about 212,455 (290)
Phase Portraits of Hyperbolic Geometry [PDF]
The Mathematical Intelligencer, 2019 Phase plotting is a useful way of visualising functions on complex space. We reinvent the method in the context of hyperbolic geometry, and we use it to plot functions on various representative surfaces for hyperbolic space, illustrating with direct motions in particular. The reinvention is nontrivial, and we discuss the essential features for ensuring
Scott B. Lindstrom, Paul Vrbik
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Archives of Public Health, 2021 Using publicly available data on the number of new hospitalisations we use a newly developed statistical model to produce a phase portrait to monitor the epidemic allowing for assessing whether or not intervention measures are needed to keep hospital ...
Christel Faes, Niel Hens, Marius Gilbert
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Characterization of a Dual Nonlinear Helmholtz Resonator
Micromachines, 2022 Resonant elements can generate small amounts of energy that make them pertinent for feeding miniaturized accelerometers with the energy needed. Suitable oscillator candidates are Helmholtz resonators, which have been, for a long time, analyzed and ...
Maher O. Al-Turk +2 more
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On Targeted Control over Trajectories of Dynamical Systems Arising in Models of Complex Networks
Mathematics, 2023 The question of targeted control over trajectories of systems of differential equations encountered in the theory of genetic and neural networks is considered. Examples are given of transferring trajectories corresponding to network states from the basin
Diana Ogorelova +2 more
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Model of an automated biotechnical system for analyzing pulseograms as a kind of edge devices
Journal of Edge Computing, 2023 The rapid development of computer biometrics over the past 2-3 decades is largely due to the development and widespread introduction into clinical practice of new methods of studying human body health, including pulse methods.
Tetiana M. Nikitchuk +3 more
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Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 The present study delves into the investigation of phase portraits of polynomial differential systems, which are systems of differential equations of the form $\frac{dx}{dt} = P(x,y), \frac{dy}{dt} = Q(x,y)$, where $x$ and $y$ are the dependent ...
Vadim Repeșco
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Effect of energetic electrons on transcritical bifurcation of low-frequency electrostatic waves in plasma [PDF]
مجله علوم و فنون هستهای, 2022 This paper studies the bifurcation types and phase portrait properties of ion-acoustic traveling waves in a plasma comprising warm adiabatic ions and energetic electrons with a nonthermal distribution function. A dynamical system is first derived for the
H. Alinejad
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Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems [PDF]
, 2016 In this paper we introduce a new technique for depicting the phase portrait of stochastic differential equations. Following previous work for deterministic systems, we represent the phase space by means of a generalization of the method of Lagrangian ...
Balibrea-Iniesta, Francisco +3 more
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Nonlinear behaviors of bandpass sigma delta modulators with stable system matrices [PDF]
, 2005 It has been established that a class of bandpass sigma delta modulators (SDMs) may exhibit state space dynamics which are represented by elliptical or fractal patterns confined within trapezoidal regions when the system matrices are marginally stable. In
Ho, Yuk-Fan +3 more
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Global phase portraits of a SIS model [PDF]
Applied Mathematics and Computation, 2013 In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some ...
Oliveira, Regilene, Rezende, Alex C.
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