scholarly journals Directing chaos systems towards low-period motion based on adaptive pulse perturbation

2006 ◽  
Vol 55 (10) ◽  
pp. 5070
Author(s):  
Zhang Rong ◽  
Xu Zhen-Yuan
Keyword(s):  
Pulse Perturbation ◽  
Period Motion

scholarly journals DIRECT CHAOS TOWARDS LOW PERIOD MOTION BASED ON NOTCH FILTER FEEDBACK CONTROL

2001 ◽  
Vol 50 (10) ◽  
pp. 1846
Author(s):  
CAI CHAO-HONG ◽  
XU ZHEN-YUAN ◽  
XU WEN-BO
Keyword(s):  
Feedback Control ◽  
Notch Filter ◽  
Period Motion

Short-pulse perturbation theory

2013 ◽  
Vol 30 (8) ◽  
pp. 2191 ◽  
Author(s):  
Edward D. Farnum ◽  
J. Nathan Kutz
Keyword(s):  
Perturbation Theory ◽  
Short Pulse ◽  
Pulse Perturbation

Experimental Switchings in Bistability Domains Induced by Resonant Perturbations

1998 ◽  
Vol 08 (09) ◽  
pp. 1777-1782 ◽  
Author(s):  
V. N. Chizhevsky ◽  
R. Vilaseca ◽  
R. Corbalan
Keyword(s):  
Nonlinear Systems ◽  
Feedback System ◽  
Chaotic State ◽  
Coexisting Attractors ◽  
Numerical Examples ◽  
Fast Switching ◽  
Pulse Perturbation ◽  
Initial States

We show that a combination of a resonant perturbation which induces bistability in the system with the targeting technique based on the action of a short-lived pulse perturbation makes the nonfeedback control of nonlinear systems (not only in a chaotic state) more flexible and even competitive with OGY's method in the sense of fast switching between controlled orbits belonging to coexisting attractors. For different initial states we present several experimental and numerical examples of such a type of control, which does not require feedback system.

The Stability of the Short-Period Motion of an Airframe Having Non-Linear Normal Force and Pitching Moment Curves

1960 ◽  
Vol 11 (3) ◽  
pp. 255-268
Author(s):  
P. A. T. Christopher
Keyword(s):  
Stability Theory ◽  
Phase Plane ◽  
Normal Force ◽  
Pitching Moment ◽  
Stability Criteria ◽  
Short Period ◽  
Non Linear ◽  
Non Linear Systems ◽  
The Stability ◽  
Period Motion

SummaryThe analysis of the stability of second-order non-linear systems by Poincare's method of singular points in the phase plane is briefly presented and used to determine stability criteria for the short-period motion of an airframe having non-linear normal force and pitching moment curves. These results are then compared with those obtained by the application of quasilinear stability theory.

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