منابع مشابه
Sticky orbits in a kicked-oscillator model
We study a 4-fold symmetric kicked-oscillator map with sawtooth kick function. For the values of the kick amplitude λ = 2 cos(2πp/q) with rational p/q, the dynamics is known to be pseudochaotic, with no stochastic web of non-zero Lebesgue measure. We show that this system can be represented as a piecewise affine map of the unit square —the so-called local map— driving a lattice map. We develop ...
متن کاملSemiclassical spectra without periodic orbits for a kicked top.
Instytut Fizyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30-059 Kraków, Poland (Received 24 June 1994) We present an h̄ ! 0 approximation for the quasienergy spectrum of a periodically kicked top, valid under conditions of both regular and chaotic classical motion. In contrast to conventional periodic-orbit theory we implement the semiclassical limit for each matrix element of the Floquet o...
متن کاملA New Dynamical Parameter for the Study of Sticky Orbits in a 3d Galactic Model
A 3D dynamical model is used to study the motion in the central parts of an elliptical galaxy, hosting a massive and dense nucleus. Our aim is to investigate the regular or chaotic character of the motion, with emphasis in the different chaotic components, as well as the sticky regions of the dynamical system. In order to define the character of the motion in the 2D system, we use the classical...
متن کاملA Kicked oscillator as a Model of a Pulsed MEMS System
Received (Day Month Year) Revised (Day Month Year) In this paper, we study the behaviour of a MEMS oscillator by applying methods of nonlin-ear dynamics. We model the system as a kicked damped oscillator and obtain the iterative maps that describe the MEMS system. The dynamics of the maps are studied numerically: we present a study of limit cycles and their rotation numbers and show how the con...
متن کاملWeb-assisted tunneling in the kicked harmonic oscillator.
We show that heating of harmonically trapped ions by periodic delta kicks is dramatically enhanced at isolated values of the Lamb-Dicke parameter. At these values, quasienergy eigenstates localized on island structures undergo avoided crossings with extended web states.
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ژورنال
عنوان ژورنال: Dynamical Systems
سال: 2005
ISSN: 1468-9367,1468-9375
DOI: 10.1080/14689360500167611