Modeling the Relaxation of Oscillations in an Electrolyzer with a Free Boundary
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-017-9356-3
Abstract: Numerical methods for modeling the behavior of an industrial aluminum electrolyzer are investigated and developed. Solving a prototype problem that brings out the specific features of aluminum electrolysis, we compare two approaches to investigating the… read more here.
Keywords: electrolyzer free; oscillations electrolyzer; relaxation; aluminum electrolysis ... See more keywords
Relaxation oscillations and canards of a regulated two–gene model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125144
Abstract: Abstract We investigate a two–gene system with an autoregulatory feedback loop using geometric singular perturbation theory. We identify (coexisting) relaxation oscillations, singular Hopf bifurcations, homoclinic loops etc. We also demonstrate a new method to compute… read more here.
Keywords: regulated two; canards regulated; oscillations canards; two gene ... See more keywords
Relaxation Oscillations of an Exciton-Polariton Condensate Driven by Parametric Scattering.
Sign Up to like & getrecommendations! Published in 2022 at "Nano letters"
DOI: 10.1021/acs.nanolett.2c00235
Abstract: We report the observation of coherent oscillations in the relaxation dynamics of an exciton-polariton condensate that were driven by parametric scattering processes. As a result of the interbranch scattering scheme and the nonlinear polariton-polariton interactions,… read more here.
Keywords: exciton polariton; polariton condensate; polariton; relaxation oscillations ... See more keywords
Relaxation oscillations in circuits containing sandwich switches based on vanadium dioxide
Sign Up to like & getrecommendations! Published in 2017 at "Phase Transitions"
DOI: 10.1080/01411594.2016.1201818
Abstract: ABSTRACT Electrical switching with an S-shaped I–V characteristic is studied in metal/oxide/metal structures based on vanadium oxide thin films fabricated by electrochemical oxidation. This switching effect is associated with the metal–insulator phase transition in VO2,… read more here.
Keywords: based vanadium; relaxation oscillations; oscillations circuits; vanadium dioxide ... See more keywords
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/abb542
Abstract: In this paper, we describe a novel type of relaxation oscillations occurring in a model of substrate-depletion oscillators. Using geometric singular perturbation theory, with blow-up as a key technical tool, we show that the oscillations… read more here.
Keywords: substrate depletion; relaxation; limit; relaxation oscillations ... See more keywords
Chaos and Relaxation Oscillations in Spin-Torque Windmill Spiking Oscillators
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review Applied"
DOI: 10.1103/physrevapplied.11.044093
Abstract: Spintronic neurons which emit sharp voltage spikes are required for the realization of hardware neural networks enabling fast data processing with low-power consumption. In many neuroscience and computer science models, neurons are abstracted as non-linear… read more here.
Keywords: chaos relaxation; torque; oscillations spin; spin torque ... See more keywords
Nonclassical Relaxation Oscillations in a Mathematical Predator–Prey Model
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DOI: 10.1134/s0012266120080029
Abstract: We consider the well-known Bazykin–Svirezhev model describing the predator–prey interaction. This model is a system of two nonlinear ordinary differential equations with a small parameter multiplying one of the derivatives. The existence and stability of… read more here.
Keywords: relaxation oscillations; model; nonclassical relaxation; predator prey ... See more keywords
Relaxation Oscillations in the Logistic Equation with Delay and Modified Nonlinearity
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11071699
Abstract: We consider the dynamics of a logistic equation with delays and modified nonlinearity, the role of which is to bound the values of solutions from above. First, the local dynamics in the neighborhood of the… read more here.
Keywords: logistic equation; equation; equation delay; modified nonlinearity ... See more keywords