scholarly journals Combining Data Assimilation and Machine Learning to build data‐driven models for unknown long time dynamics –Applications in cardiovascular modeling

2021 ◽  
Author(s):  
Francesco Regazzoni ◽  
Dominique Chapelle ◽  
Philippe Moireau
Keyword(s):  
Machine Learning ◽  
Data Assimilation ◽  
Data Driven ◽  
Time Dynamics ◽  
Cardiovascular Modeling ◽  
Combining Data ◽  
Long Time ◽  
Long Time Dynamics

Long-time dynamics of a class of nonlocal extensible beams with time delay

2021 ◽  
pp. 108128652110194
Author(s):  
Fengjuan Meng ◽  
Cuncai Liu ◽  
Chang Zhang
Keyword(s):  
Time Delay ◽  
Stability Property ◽  
Beam Equation ◽  
Exponential Attractors ◽  
Time Dynamics ◽  
Bounded Smooth Domain ◽  
Finite Dimensional ◽  
Long Time ◽  
Bounded Smooth ◽  
Long Time Dynamics

This work is devoted to the following nonlocal extensible beam equation with time delay: [Formula: see text] on a bounded smooth domain [Formula: see text]. The main purpose of this paper is to consider the long-time dynamics of the system. Under suitable assumptions, the quasi-stability property of the system is established, based on which the existence and regularity of a finite-dimensional compact global attractor are obtained. Moreover, the existence of exponential attractors is proved.

scholarly journals Singular Limit and Long-Time Dynamics of Bresse Systems

2017 ◽  
Vol 49 (4) ◽  
pp. 2468-2495 ◽  
Author(s):  
To Fu Ma ◽  
Rodrigo Nunes Monteiro
Keyword(s):  
Singular Limit ◽  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics

Long-time dynamics via direct summation of infinite continued fractions

1992 ◽  
Vol 68 (11) ◽  
pp. 1637-1640 ◽  
Author(s):  
Zhi-Xiong Cai ◽  
Surajit Sen ◽  
S. D. Mahanti
Keyword(s):  
Continued Fractions ◽  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics ◽  
Direct Summation

A model for the long time dynamics in a simple glass: Off-equilibrium properties

1999 ◽  
Vol 79 (11-12) ◽  
pp. 1987-1992
Author(s):  
L. Angelani ◽  
G. Parisi ◽  
G. Ruocco ◽  
G. Viliani
Keyword(s):  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics

CHAOTIC AND QUASIPERIODIC MOTIONS OF THREE PLANAR CHARGED PARTICLES

2001 ◽  
Vol 11 (07) ◽  
pp. 1937-1951
Author(s):  
SHU-MING CHANG ◽  
WEN-WEI LIN ◽  
TAI-CHIA LIN
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Charged Particles ◽  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics

We study two dynamical systems for the motion of three planar charged particles with charges nj ∈ {±1}, j = 1, 2, 3. Both dynamical systems are parametric with a parameter α ∈ [0, 1] and have the same nonlinear terms. As α = 0, 1, the dynamical systems have no chaos. However, one dynamical system may create chaos as α varies from zero to one. This may provide an example to show that the homotopy deformation of dynamical systems cannot preserve the long-time dynamics even though the dynamical systems have the same nonlinear terms.

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