Finite oscillator models: the Hahn oscillator
نویسندگان
چکیده
منابع مشابه
On the Construction of Finite Oscillator Dictionary
Abstract. A finite oscillator dictionary which has important applications in sequences designs and the compressive sensing was introduced by Gurevich, Hadani and Sochen. In this paper, we first revisit closed formulae of the finite split oscillator dictionary S by a simple proof. Then we study the non-split tori of the group SL(2, Fp). Finally, An explicit algorithm for computing the finite non...
متن کاملSome geometrical properties of the oscillator group
We consider the oscillator group equipped with a biinvariant Lorentzian metric. Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Left-invariant vector fields defining harmonic maps are...
متن کاملGeometric Models of the Classical Relativistic Oscillator
It is shown that in the general relativity many static metrics are able to simulate the oscillatory motion. The general form of these metrics is established and it is pointed out that these depend on two arbitrary real parameters which determine the characteristics of each model. Their properties as well as the main new relativistic effects are discussed.
متن کاملSimulation and perturbation analysis of escape oscillator
The dynamical behaviour of the forced escape oscillator, which depends on the parameter values we considered, have been studied numerically using the techniques of phase portraits and Poincar'{e} sections. Also, we employed perturbation methods such as Lindstedt's method to obtain the frequency-amplitude relation of escape oscillator.
متن کاملCoupled oscillator models with no scale separation
We consider a class of spatially discrete wave equations that describe the motion of a system of linearly coupled oscillators perturbed by a nonlinear potential. We show that the dynamical behavior of this system cannot be understood by considering the slowest modes only: there is an ‘‘inverse cascade’’ in which the effects of changes in small scales are felt by the largest scales and the mean-...
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 Physics A: Mathematical and Theoretical
سال: 2011
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/44/26/265203