Results 11 to 20 of about 614,864 (203)
Relaxation oscillations in energy active zones [PDF]
E3S Web of Conferences, 2020 Relaxation oscillations in energy active natural zones are considered as causes of sudden catastrophes. A general approach to the study of dynamical systems of a fast-slow type is proposed, the relaxation oscillations of which give an adequate ...
Shevtsov Boris
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Non-Classical Relaxation Oscillations in Neurodynamics
Моделирование и анализ информационных систем, 2014 A modification of the well-known FitzHugh–Nagumo model from neuroscience is proposed. This model is a singularly perturbed system of ordinary differential equations with a fast variable and a slow one.
S. D. Glyzin +2 more
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Relaxation Oscillations in Singularly Perturbed Generalized Lienard Systems with Non-Generic Turning Points [PDF]
Mathematical Modelling and Analysis, 2017 Based on the asymptotic analysis technique developed by Eckhaus [Lecture Notes in Math., vol. 985, pp 449-494. Springer, Berlin, 1983], this paper aims to study the existence and the asymptotic behaviors of relaxation oscillations of regular and canard ...
Huan Hu +3 more
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Blue Sky Catastrophe in Systems with Non-classical Relaxation Oscillations
Моделирование и анализ информационных систем, 2015 The feasibility of a known blue-sky bifurcation in a class of three-dimensional singularly perturbed systems of ordinary differential equations with one fast and two slow variables is studied.
S. D. Glyzin +2 more
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Transient Responses to Relaxation Oscillations in Multivibrators
IEEE AccessThe multivibrator is an electronic circuit that has three oscillation states: astable, monostable, and bistable; these circuits typically contain opamps.
Seiya Amoh +2 more
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Relaxation Oscillations in the Formation of a Polariton Condensate [PDF]
Physical Review Letters, 2014 We report observation of oscillations in the dynamics of a microcavity polariton condensate formed under pulsed non resonant excitation. While oscillations in a condensate have always been attributed to Josephson mechanisms due to a chemical potential unbalance, here we show that under some localisation conditions of the condensate, they may arise from
De Giorgi Milena +9 more
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Understanding Relaxation Oscillator Circuits Using Fast-Slow System Representations
IEEE Access, 2023 We demonstrate the utilization of the fundamental principle of nonlinear dynamics, namely, the Liénard-type representations of ordinary differential equations, also referred to as fast-slow systems, to describe and understand relaxation ...
Thomas Voglhuber-Brunnmaier +1 more
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Influence of coupling on the dynamics of three delayed oscillators [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 The purpose of this study is to construct the asymptotics of the relaxation regimes of a system of differential equations with delay, which simulates three diffusion-coupled oscillators with nonlinear compactly supported delayed feedback under the ...
Kashchenko, Alexandra Andreevna
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Robustness of a relaxation oscillator [PDF]
International Journal of Robust and Nonlinear Control, 2000 For a relaxation oscillator which consists of a relay-hysteresis in the feedback with negative integral action we prove that the oscillatory behavior is robust to perturbations in the dynamical component of the feedback loop which are sufficiently small in a gap sense.
Tryphon T. Georgiou, Malcolm C. Smith
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Excitation and control of spin waves in FeBO3 by a strong-field THz pulse [PDF]
EPJ Web of Conferences, 2019 The dynamically resolved response of the canted-antiferromagnet FeBO3 excited near a magnon resonance shows fast oscillations after THz-excitation’ followed by the magnons’ intrinsic relaxation’ enabling to probe transient magnetic relaxation dynamics ...
Calendron Anne-Laure +6 more
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