The Poincaré Map of Randomly Perturbed Periodic Motion
نویسندگان
چکیده
منابع مشابه
The Poincaré Map of Randomly Perturbed Periodic Motion
A system of autonomous differential equations with a stable limit cycle and perturbed by small white noise is analyzed in this work. In the vicinity of the limit cycle of the unperturbed deterministic system, we define, construct, and analyze the Poincare map of the randomly perturbed periodic motion. We show that the time of the first exit from a small neighborhood of the fixed point of the ma...
متن کاملWave propagation in a one-dimensional randomly perturbed periodic medium
We study the variance of the solution of a periodic randomly perturbed one-dimensional Schrödinger operator after propagation through N periods. It is shown that if the frequency of propagation lies inside the band, then the total variance is proportional to Nσ 2, where σ is the intensity of the white noise. However, if the wave frequency is close to the band edge (where the transfer matrix has...
متن کاملChaotic diffusion on periodic orbits: the perturbed Arnold cat map.
Chaotic diffusion on periodic orbits (POs) is studied for the perturbed Arnold cat map on a cylinder, in a range of perturbation parameters corresponding to an extended structural-stability regime of the system on the torus. The diffusion coefficient is calculated, using the following PO formulas: (1). the curvature expansion of the Ruelle zeta function; (2). the average of the PO winding-numbe...
متن کاملVariations of the Poincaré Map
Nogueira, in 1995, presented a study of the Poincaré map and the related ParryDaniels map. In this note some variants of this algorithm are presented which seem to have quite different ergodic behavior.
متن کاملMotion of Electrons and Holes in Perturbed Periodic Fields
time axis could be detected. Hence, one concludes that if the deformation introduced changes in the elastic constants C33 or C44 these changes must be less than one or two percent for strains up to 10—' radian. Such a result is to be expected since the appearance of slip bands on the surface indicates that the deformation was confined to numerous very narrow bands. Within these bands one might ...
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 Nonlinear Science
سال: 2013
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-013-9170-9