منابع مشابه
Relaxation oscillations in model sandpiles
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 کاملAutoparametric 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...
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 کاملRelaxation of nonlinear oscillations in BCS superconductivity
The diagonal case of the sl(2) Richardson-Gaudin quantum pairing model [1, 2, 3, 4, 5, 6, 7] is known to be solvable as an Abel-Jacobi inversion problem [8, 9, 10, 11, 12, 13, 14, 15]. This is an isospectral (stationary) solution to a more general integrable hierarchy, in which the full time evolution can be written as isomonodromic deformations. Physically, the more general solution is appropr...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2004
ISSN: 0022-0396
DOI: 10.1016/j.jde.2003.09.010