scholarly journals Bifurcation structure of unstable periodic orbits in plane Couette flow with the Smagorinsky model

2021 ◽  
Vol 6 (8) ◽  
Author(s):  
Eiichi Sasaki ◽  
Genta Kawahara ◽  
Javier Jiménez
Keyword(s):  
Couette Flow ◽  
Periodic Orbits ◽  
Plane Couette Flow ◽  
Unstable Periodic Orbits ◽  
Bifurcation Structure ◽  
Smagorinsky Model

scholarly journals Unstable periodic orbits in plane Couette flow with the Smagorinsky model

2016 ◽  
Vol 708 ◽  
pp. 012003 ◽  
Author(s):  
Eiichi SASAKI ◽  
Genta KAWAHARA ◽  
Atsushi SEKIMOTO ◽  
Javier JIMÉNEZ
Keyword(s):  
Couette Flow ◽  
Periodic Orbits ◽  
Plane Couette Flow ◽  
Unstable Periodic Orbits ◽  
Smagorinsky Model

Control Bifurcation Structure of Return Map Control in Chua's Circuit

1997 ◽  
Vol 07 (04) ◽  
pp. 903-909 ◽  
Author(s):  
Byoung-Cheon Lee ◽  
Ki-Hak Lee ◽  
Bo-Hyeun Wang
Keyword(s):  
Feedback Control ◽  
Periodic Orbits ◽  
Chaotic Attractor ◽  
Control Parameters ◽  
Unstable Periodic Orbits ◽  
Bifurcation Structure ◽  
Return Map ◽  
Adaptive Tracking ◽  
Route To Chaos ◽  
Prior Analysis

We demonstrate that return map control and adaptive tracking can be used together to locate, stabilize, and track unstable periodic orbits (UPOs). Through bifurcation studies as a function of some control parameters of return map control, we observe the control bifurcation (CB) phenomenon which exhibits another route to chaos. Nearby an UPO there are a lot of driven periodic orbits (DPOs) along the CB route. DPOs are not embedded in the original chaotic attractor, but they are generated artificially by driving the system slightly in a direction with feedback control. Based on the CB phenomenon, our adaptive tracking algorithm searches for the location and the exact control condition of the UPO by minimizing feedback perturbations. We discuss the universality of the CB phenomenon and the possibility of immediate control which does not require much prior analysis of the system.

DNS OF TURBULENT HEAT TRANSFER IN PLANE COUETTE FLOW

Equipment ◽  
2006 ◽  
Author(s):  
S. Hane ◽  
T. Tsukahara ◽  
K. Iwamoto ◽  
H. Kawamura
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Plane Couette Flow

Cyclic generation of wall slip at the exit of plane Couette flow

2003 ◽  
Vol 47 (3) ◽  
pp. 737-757 ◽  
Author(s):  
Hiroshi Mizunuma ◽  
Hideyuki Takagi
Keyword(s):  
Couette Flow ◽  
Wall Slip ◽  
Plane Couette Flow
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