Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation

2019 ◽  
Vol 38 (2) ◽  
pp. 248-276 ◽  
Author(s):  
Shihu Li ◽  
Yingchao Xie
Keyword(s):  
Averaging Principle ◽  
Fast Oscillation

scholarly journals New Approach to the Planetary Theory

1979 ◽  
Vol 81 ◽  
pp. 69-72 ◽  
Author(s):  
Manabu Yuasa ◽  
Gen'ichiro Hori
Keyword(s):  
Perturbation Method ◽  
Canonical Form ◽  
Equations Of Motion ◽  
Disturbing Function ◽  
Averaging Principle ◽  
The Sun ◽  
Planetary Theory ◽  
New Approach ◽  
Canonical Perturbation ◽  
Relative Coordinates

A new approach to the planetary theory is examined under the following procedure: 1) we use a canonical perturbation method based on the averaging principle; 2) we adopt Charlier's canonical relative coordinates fixed to the Sun, and the equations of motion of planets can be written in the canonical form; 3) we adopt some devices concerning the development of the disturbing function. Our development can be applied formally in the case of nearly intersecting orbits as the Neptune-Pluto system. Procedure 1) has been adopted by Message (1976).

scholarly journals Averaging Principle and Shape Theorem for a Growth Model with Memory

2020 ◽  
Author(s):  
Amir Dembo ◽  
Pablo Groisman ◽  
Ruojun Huang ◽  
Vladas Sidoravicius
Keyword(s):  
Growth Model ◽  
Averaging Principle ◽  
Shape Theorem ◽  
With Memory
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