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Numerical approach for solving fractional relaxation–oscillation equation

open access: yesApplied Mathematical Modelling, 2013
WOS: 000316769600026In this study, we will obtain the approximate solutions of relaxation-oscillation equation by developing the Taylor matrix method.
Mustafa Gülsu, Yalcin Öztürk
exaly   +2 more sources
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DYNAMICS OF RELAXATION OSCILLATIONS

International Journal of Bifurcation and Chaos, 2001
Relaxation oscillations are characteristic of periodic processes consisting of segments which differ greatly in time: a long-time span when the system is moving slowly and a relatively short time span when the system is moving rapidly. The period of oscillation, the sum of these contributions, is usually treated by singular perturbation theory which ...
Phillipson, Paul E., Schuster, Peter
openaire   +3 more sources

Modeling and analysis of a relaxation oscillator

Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005., 2006
A nonlinear analysis of the popular emitter-coupled multivibrator is performed, which is based on the classical discontinuity theory. Exact closed-form expressions for predicting the amplitude of relaxation oscillation and its frequency are obtained. Numerical SPICE simulations were performed to check the validity of the above expressions and to show ...
BUONOMO, Antonio, LO SCHIAVO, Alessandro
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Chemical instabilities and relaxation oscillations [PDF]

open access: possibleJournal of Theoretical Biology, 1971
Abstract The behaviour of a chemical system beyond a non-equilibrium unstable transition is analysed in the limit of a large separation of time scales characterizing the individual chemical steps. It is found that the system may exhibit in this limit relaxation, or quasi-discontinuous type oscillations.
Lavenda, Bernard   +2 more
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THE ASYMPTOTICS OF RELAXATION OSCILLATIONS

Mathematics of the USSR-Sbornik, 1979
The asymptotics of relaxation oscillations are considered. Figures: 7. Bibliography: 7 titles.
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A relaxation oscillator

2022
a relaxation oscillator is designed.
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Dynamics of relay relaxation oscillators

IEEE Transactions on Automatic Control, 2001
Summary: Relaxation oscillators can usually be represented as a feedback system with hysteresis. The relay relaxation oscillator consists of relay hysteresis and a linear system in feedback. The objective of this work is to study the existence of periodic orbits and the dynamics of coupled relay oscillators.
Subbarao Varigonda, Tryphon T. Georgiou
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Relaxation oscillations: Synchronization and chaos

Doklady Physics, 2011
The authors present an example of an exothermic reaction, which interacts by means of heat exchange. This problem is investigated by numerical modeling, and the model is described by a system of ordinary differential equations with strongly non-linear sources. The coupling coefficient serves as a bifurcation parameter.
Vaganova, N. I.   +2 more
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