منابع مشابه
Autoparametric resonance of relaxation oscillations
Stable normal mode vibrations in engineering can be undesirable and one of the possibilities for quenching these vibrations is by embedding the oscillator in an autoparametric system by coupling to a damped oscillator. We have the possibility of destabilising the undesirable vibrations by a suitable tuning and choice of coupling parameters. In the case of normal mode vibration derived from a re...
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We introduce a simple one-dimensional sandpile model that undergoes relaxation oscillations. A single model can account for self-organized critical behavior and relaxation oscillations, depending on the manner in which it is driven, mirroring the experimental situation for real sandpiles. The relaxation oscillations are robust with respect to minor modifications of the avalanche rules, includin...
متن کاملUniqueness of Relaxation Oscillations: a Classical Approach
In a recent paper in this Journal, [2], the authors discuss a relaxation oscillator which apparently has not been put in standard Lienard form. They use geometric perturbation theory to analyze this model. Their main result is the existence and uniqueness of a periodic solution for small values of two parameters, δ and ε, and the behavior of this solution as δ and ε tend to zero. We show how st...
متن کاملRelaxation oscillations in long-pulsed random lasers
Karen L. van der Molen,* Allard P. Mosk, and Ad Lagendijk Complex Photonic Systems, MESA Institute for Nanotechnology and Department of Science and Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands FOM Institute for Atomic and Molecular Physics (AMOLF), Kruislaan 407, 1098 SJ Amsterdam, The Netherlands Received 12 September 2008; revised manuscript received 30 Ju...
متن کاملBifurcations of Relaxation oscillations Near Folded saddles
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems that contain both slow and fast segments. The slow-fast decomposition of these orbits is defined in the singular limit. Geometric methods in singular perturbation theory classify degeneracies of these decompositions that occur in generic one parameter families of relaxation oscillations. This paper investigates...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1949
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/30075