scholarly journals A Weak Characterization of Slow Variables in Stochastic Dynamical Systems

2020 ◽  
pp. 132-150
Author(s):  
Andreas Bittracher ◽  
Christof Schütte
Keyword(s):  
Dynamical Systems ◽  
Stochastic Dynamical Systems ◽  
Slow Variables

scholarly journals Multidimensional characterization of stochastic dynamical systems based on multiple perturbations and measurements

2015 ◽  
Vol 142 (21) ◽  
pp. 212430 ◽  
Author(s):  
Maksym Kryvohuz ◽  
Shaul Mukamel
Keyword(s):  
Dynamical Systems ◽  
Stochastic Dynamical Systems

scholarly journals Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps

2009 ◽  
Vol 106 (38) ◽  
pp. 16090-16095 ◽  
Author(s):  
A. Singer ◽  
R. Erban ◽  
I. G. Kevrekidis ◽  
R. R. Coifman
Keyword(s):  
Dynamical Systems ◽  
Anisotropic Diffusion ◽  
Diffusion Maps ◽  
Stochastic Dynamical Systems ◽  
Slow Variables

scholarly journals Characterization of the most probable transition paths of stochastic dynamical systems with stable Lévy noise

2019 ◽  
Vol 2019 (6) ◽  
pp. 063204 ◽  
Author(s):  
Yuanfei Huang ◽  
Ying Chao ◽  
Shenglan Yuan ◽  
Jinqiao Duan
Keyword(s):  
Dynamical Systems ◽  
Lévy Noise ◽  
Stochastic Dynamical Systems ◽  
Transition Paths ◽  
Levy Noise

Coherent phenomena in stochastic dynamical systems

1999 ◽  
Vol 169 (2) ◽  
pp. 171 ◽  
Author(s):  
Valerii I. Klyatskin ◽  
D. Gurarie
Keyword(s):  
Dynamical Systems ◽  
Stochastic Dynamical Systems

A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS

1994 ◽  
Vol 04 (04) ◽  
pp. 979-998 ◽  
Author(s):  
CHAI WAH WU ◽  
LEON O. CHUA
Keyword(s):  
Dynamical Systems ◽  
Chaotic Systems ◽  
Main Tool ◽  
Lyapunov Stability Theory ◽  
Asymptotical Stability ◽  
Unified Framework ◽  
Partial Synchronization ◽  
Chua’S Oscillator ◽  
And Control

In this paper, we give a framework for synchronization of dynamical systems which unifies many results in synchronization and control of dynamical systems, in particular chaotic systems. We define concepts such as asymptotical synchronization, partial synchronization and synchronization error bounds. We show how asymptotical synchronization is related to asymptotical stability. The main tool we use to prove asymptotical stability and synchronization is Lyapunov stability theory. We illustrate how many previous results on synchronization and control of chaotic systems can be derived from this framework. We will also give a characterization of robustness of synchronization and show that master-slave asymptotical synchronization in Chua’s oscillator is robust.

scholarly journals A remark on symmetry of stochastic dynamical systems and their conserved quantities

1995 ◽  
Vol 28 (22) ◽  
pp. 6363-6371 ◽  
Author(s):  
S Albeverio ◽  
Shao-Ming Fei
Keyword(s):  
Dynamical Systems ◽  
Conserved Quantities ◽  
Stochastic Dynamical Systems

Quantitative stability estimates for multiscale stochastic dynamical systems

2021 ◽  
pp. 109193
Author(s):  
Junyu Guo ◽  
Xiaotian Guo ◽  
Longjie Xie
Keyword(s):  
Dynamical Systems ◽  
Stability Estimates ◽  
Stochastic Dynamical Systems ◽  
Quantitative Stability
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