scholarly journals Absence of $l^1$ eigenfunctions for lattice operators with fast local periodic approximation

2015 ◽  
Vol 5 (3) ◽  
pp. 533-546 ◽  
Author(s):  
Alexander Gordon
Keyword(s):  
Periodic Approximation

scholarly journals Designing Metagratings via Local Periodic Approximation: From Microwaves to Infrared

2019 ◽  
Vol 11 (4) ◽  
Author(s):  
Vladislav Popov ◽  
Marina Yakovleva ◽  
Fabrice Boust ◽  
Jean-Luc Pelouard ◽  
Fabrice Pardo ◽  
...  
Keyword(s):  
Periodic Approximation

scholarly journals Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Jingli Xie ◽  
Zhiguo Luo ◽  
Guoping Chen
Keyword(s):  
Hamiltonian Systems ◽  
Mountain Pass Theorem ◽  
Homoclinic Solution ◽  
Second Order ◽  
Homoclinic Solutions ◽  
Mountain Pass ◽  
Approximation Solution ◽  
Periodic Approximation

This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a2kT-periodic approximation solution is a homoclinic solution of our problem.

scholarly journals On the construction of smooth ergodic skew-products

1988 ◽  
Vol 8 (2) ◽  
pp. 311-326 ◽  
Author(s):  
Mahesh G. Nerurkar
Keyword(s):  
Dynamical System ◽  
Coefficient Matrix ◽  
Small Divisor ◽  
Almost Periodic ◽  
Qualitative Behaviour ◽  
Skew Products ◽  
Ergodic Properties ◽  
Periodic Approximation ◽  
Linear Differential ◽  
Smooth Dynamical System

AbstractIn this paper we prove results about lifting dynamical and ergodic properties of a given smooth dynamical system to its skew-product extensions by smooth cocycles. The classical small divisor argument shows that in general such results are not possible. However, using the notion of the ‘fast periodic approximation’ introduced by A. Katok, we will show that if the dynamical system admits such a ‘fast periodic approximation’ then indeed a certain qualitative behaviour which is prohibited by small divisor type conditions is now in fact generic. The techniques are also applied to show that ‘recurrent-proximal’ behaviour of solutions of linear differential equations with almost periodic coefficients is generic under suitable conditions on the coefficient matrix.

scholarly journals Periodic approximation of spacecraft Foton-12 attitude motion

2020 ◽  
pp. 1-43
Author(s):  
Denis Mikhailovich Bulanov ◽  
Victor Vasil’yevich Sazonov
Keyword(s):  
Attitude Motion ◽  
Periodic Approximation

scholarly journals Forecasting Algorithms for Recurrent Patterns in Consumer Demand

2017 ◽  
Author(s):  
Tetiana Boiko ◽  
Oleg Karpenkov ◽  
Bulat Rakhimberdiev
Keyword(s):  
Consumer Demand ◽  
Periodic Approximation ◽  
Recurrent Patterns

In this paper we develop a forecasting algorithm for recurrent patterns in consumer demand. We study this problem in two different settings: pull and push models. We discuss several features of the algorithm concerning sampling, periodic approximation, denoising and forecasting.

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