Realization Theory of Continuous-Time Dynamical Systems

1981 ◽  
Keyword(s):  
Dynamical Systems ◽  
Continuous Time ◽  
Realization Theory

Anti-control of continuous-time dynamical systems

2012 ◽  
Vol 17 (6) ◽  
pp. 2617-2627 ◽  
Author(s):  
Simin Yu ◽  
Guanrong Chen
Keyword(s):  
Dynamical Systems ◽  
Continuous Time

scholarly journals Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors

2007 ◽  
Vol 14 (5) ◽  
pp. 615-620 ◽  
Author(s):  
Y. Saiki
Keyword(s):  
Dynamical Systems ◽  
Periodic Orbits ◽  
Infinite Number ◽  
Continuous Time ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Complex Phenomenon ◽  
Unstable Periodic Orbits ◽  
Newton Raphson ◽  
The Lorenz System

Abstract. An infinite number of unstable periodic orbits (UPOs) are embedded in a chaotic system which models some complex phenomenon. Several algorithms which extract UPOs numerically from continuous-time chaotic systems have been proposed. In this article the damped Newton-Raphson-Mees algorithm is reviewed, and some important techniques and remarks concerning the practical numerical computations are exemplified by employing the Lorenz system.

From Dispersion to Laminarity in Dynamical Systems

1994 ◽  
Vol 49 (12) ◽  
pp. 1241-1247 ◽  
Author(s):  
G. Zumofen ◽  
J. Klafter
Keyword(s):  
Random Walk ◽  
Dynamical Systems ◽  
Continuous Time ◽  
Chaotic Behavior ◽  
Continuous Time Random Walk ◽  
Standard Map ◽  
One Dimensional ◽  
Enhanced Diffusion

Abstract We study transport in dynamical systems characterized by intermittent chaotic behavior with coexistence of dispersive motion due to periods of localization, and of enhanced diffusion due to periods of laminar motion. This transport is discussed within the continuous-time random walk approach which applies to both dispersive and enhanced motions. We analyze the coexistence for the standard map and for a one-dimensional map.

Continuity of dynamical systems: The continuous-time case

1992 ◽  
Vol 5 (4) ◽  
pp. 391-400 ◽  
Author(s):  
J. W. Nieuwenhuis ◽  
J. C. Willems
Keyword(s):  
Dynamical Systems ◽  
Continuous Time

scholarly journals PAC Model Checking of Black-Box Continuous-Time Dynamical Systems

2020 ◽  
Vol 39 (11) ◽  
pp. 3944-3955 ◽  
Author(s):  
Bai Xue ◽  
Miaomiao Zhang ◽  
Arvind Easwaran ◽  
Qin Li
Keyword(s):  
Dynamical Systems ◽  
Model Checking ◽  
Continuous Time ◽  
Black Box ◽  
Pac Model
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