Long-Term Stability Analysis of Quasi Integrable Degenerate Systems through the Spectral Formulation of the Nekhoroshev Theorem

2002 ◽  
pp. 303-323
Author(s):  
Massimiliano Guzzo
Keyword(s):  
Stability Analysis ◽  
Term Stability ◽  
Long Term Stability ◽  
Nekhoroshev Theorem

LONG-TERM STABILITY ANALYSIS OF ACOUSTIC ABSORBING BOUNDARY CONDITIONS

2013 ◽  
Vol 23 (11) ◽  
pp. 2129-2154 ◽  
Author(s):  
HÉLÈNE BARUCQ ◽  
JULIEN DIAZ ◽  
VÉRONIQUE DUPRAT
Keyword(s):  
Stability Analysis ◽  
Boundary Conditions ◽  
Absorbing Boundary Conditions ◽  
Computational Domain ◽  
Acoustic Wave Equation ◽  
Absorbing Boundary ◽  
Term Stability ◽  
Long Term Stability ◽  
The Stability

This work deals with the stability analysis of a one-parameter family of Absorbing Boundary Conditions (ABC) that have been derived for the acoustic wave equation. We tackle the problem of long-term stability of the wave field both at the continuous and the numerical levels. We first define a function of energy and show that it is decreasing in time. Its discrete form is also decreasing under a Courant–Friedrichs–Lewy (CFL) condition that does not depend on the ABC. Moreover, the decay rate of the continuous energy can be determined: it is exponential if the computational domain is star-shaped and this property can be illustrated numerically.

Smart pH Sensor Using Untreated Platinum Sheet Based on Chronopotentiometry and Long-Term Stability Analysis

2019 ◽  
Vol 19 (10) ◽  
pp. 3841-3845 ◽  
Author(s):  
Yizhang Wen ◽  
Yuanfang Mao ◽  
Qionghui Luo ◽  
Xiaoping Wang
Keyword(s):  
Stability Analysis ◽  
Ph Sensor ◽  
Term Stability ◽  
Long Term Stability ◽  
Platinum Sheet

scholarly journals Long-Term Stability Analysis Toward <10−14 Level for a Highly Compact POP Rb Cell Atomic Clock

2020 ◽  
Vol 67 (1) ◽  
pp. 207-216
Author(s):  
Nil Almat ◽  
Mohammadreza Gharavipour ◽  
William Moreno ◽  
Florian Gruet ◽  
Christoph Affolderbach ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Atomic Clock ◽  
Term Stability ◽  
Long Term Stability
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