scholarly journals LIMITER CONTROL OF A CHAOTIC RF TRANSISTOR OSCILLATOR

2003 ◽  
Vol 13 (04) ◽  
pp. 957-961 ◽  
Author(s):  
NED J. CORRON ◽  
BUCKLEY A. HOPPER ◽  
SHAWN D. PETHEL
Keyword(s):  
Periodic Orbit ◽  
Local Minimum ◽  
Chaos Control ◽  
Electronic Circuit ◽  
Relative Magnitude ◽  
Control Of Chaos ◽  
Experimental Control ◽  
Transistor Oscillator ◽  
Rf Transistor ◽  
Uncontrolled System

We report experimental control of chaos in an electronic circuit at 43.9 MHz, which is the fastest chaos control reported in the literature to date. Limiter control is used to stabilize a periodic orbit in a tuned collector transistor oscillator modified to exhibit simply folded band chaos. The limiter is implemented using a transistor to enable monitoring the relative magnitude of the control perturbation. A plot of the relative control magnitude versus limiter level shows a local minimum at period-1 control, thereby providing strong evidence that the controlled state is an unstable periodic orbit (UPO) of the uncontrolled system.

EXPERIMENTAL CONTROL OF CHAOS IN CHUA’S CIRCUIT VIA TUNNELS

1994 ◽  
Vol 04 (03) ◽  
pp. 741-750 ◽  
Author(s):  
MAKOTO ITOH ◽  
HIROYUKI MURAKAMI ◽  
LEON O. CHUA
Keyword(s):  
Periodic Orbit ◽  
Experimental Method ◽  
Periodic Orbits ◽  
Chaotic Attractor ◽  
Chua’S Circuit ◽  
Control Of Chaos ◽  
Experimental Control ◽  
Chua's Circuit ◽  
Tunnel Mechanism ◽  
Very High

In this letter, we propose a new experimental method for converting a chaotic attractor in Chua’s circuit to a periodic orbit. A tunnel mechanism is used to achieve this conversion. Using this method, we were able to demonstrate experimentally that periodic orbits of very high periods (e.g., greater than 30) can be robustly stabilized.

Delayed Feedback Control of Chaos in an Electronic Double-Scroll Oscillator

1994 ◽  
Vol 49 (9) ◽  
pp. 843-846 ◽  
Author(s):  
A. Kittel ◽  
J. Parisi ◽  
K. Pyragas ◽  
R. Richter
Keyword(s):  
Feedback Control ◽  
Delay Time ◽  
Output Signal ◽  
Chaos Control ◽  
Electronic Circuit ◽  
Delayed Feedback Control ◽  
Unstable Periodic Orbits ◽  
Control Of Chaos ◽  
The Difference

Abstract We present experimental results on stabilizing unstable periodic orbits of an autonomous chaos oscillator based on a simple electronic circuit. Control is achieved by applying the difference between the actual and a delayed output signal of the oscillator. The quality of chaos control can be measured via the strength of perturbation. The dependence on the delay time shows a characteristic resonance-type behavior.

DYNAMICS OF THE MUTHUSWAMY–CHUA SYSTEM

2013 ◽  
Vol 23 (08) ◽  
pp. 1350136 ◽  
Author(s):  
YUANFAN ZHANG ◽  
XIANG ZHANG
Keyword(s):  
Periodic Orbit ◽  
Periodic Orbits ◽  
Chaotic Attractor ◽  
Electronic Circuit ◽  
Small Perturbations ◽  
Chaotic Phenomena ◽  
Invariant Surfaces

The Muthuswamy–Chua system [Formula: see text] describes the simplest electronic circuit which can have chaotic phenomena. In this paper, we first prove the existence of three families of consecutive periodic orbits of the system when α = 0, two of which are located on consecutive invariant surfaces and form two invariant topological cylinders. Then we prove that for α > 0 if the system has a periodic orbit or a chaotic attractor, it must intersect both of the planes z = 0 and z = -1 infinitely many times as t tends to infinity. As a byproduct, we get an example of unstable invariant topological cylinders which are not normally hyperbolic and which are also destroyed under small perturbations.

Dichotomy of nonlinear systems: Application to chaos control of nonlinear electronic circuit

2006 ◽  
Vol 351 (3) ◽  
pp. 143-152 ◽  
Author(s):  
Jinzhi Wang ◽  
Zhisheng Duan ◽  
Lin Huang
Keyword(s):  
Nonlinear Systems ◽  
Chaos Control ◽  
Electronic Circuit

CHAOS CONTROL IMPLEMENTATION BY INTERRUPTED ELECTRIC CIRCUIT WITH SWITCHING DELAY

2009 ◽  
Vol 19 (07) ◽  
pp. 2359-2362
Author(s):  
TAKUJI KOUSAKA ◽  
TETSUSHI UETA ◽  
YUE MA
Keyword(s):  
Periodic Orbit ◽  
Chaos Control ◽  
Electric Circuit ◽  
Unstable Periodic Orbit ◽  
Chaotic Circuit ◽  
Return Map ◽  
Switching Delay ◽  
Suppression Of Chaos ◽  
Control Implementation

We have demonstrated that the chaotic circuit with a switching delay is modeled by a return map, and a controller for the suppression of chaos is proposed. A circuit representing a controller stabilizing a period-1 unstable periodic orbit in an interrupted electric circuit with a certain switching delay is also discussed.

"MIDDLE" PERIODIC ORBIT AND ITS APPLICATION TO CHAOS CONTROL

2002 ◽  
Vol 12 (08) ◽  
pp. 1869-1876
Author(s):  
LING YANG ◽  
ZENGRONG LIU ◽  
YONGAI ZHENG
Keyword(s):  
Periodic Orbit ◽  
Topological Entropy ◽  
Chaotic Attractor ◽  
Chaos Control ◽  
Initial Point ◽  
New Method ◽  
Controlling Chaos ◽  
The Given

In this paper, a new method, by which any point in a chaotic attractor can be guided to any target periodic orbit, is proposed. The "Middle" periodic orbit is used to lead an initial point in a chaotic attractor to a neighborhood of the target orbit, and then controlling chaos can be achieved by the improved OGY method. The time needed in the method using "Middle" periodic orbit is less than that of the OGY method, and is inversely proportional to the square of the topological entropy of the given map. An example is used to illustrate the results.

Analysis and Control of Chaos in Sheppard-Taylor DC-DC Converter

2013 ◽  
Vol 401-403 ◽  
pp. 1596-1599 ◽  
Author(s):  
Chuang Bi ◽  
Zheng Hang Fan ◽  
Yong Xiang ◽  
Jin Gang Hu
Keyword(s):  
Nonlinear Dynamics ◽  
Bifurcation Diagram ◽  
Time Domain ◽  
Chaos Control ◽  
Phase Portraits ◽  
Control Of Chaos ◽  
Complex Behaviour ◽  
Power Spectral ◽  
The Stability ◽  
And Control

This paper addresses the nonlinear dynamics of the Sheppard-Taylor converter to explain the complex behaviour exhibited in the converter under different practical conditions. The bifurcation diagram of the converter is generated to analyze the stability of the system. Several representative waveforms are captured from simulation to illustrate the chaos control of the converter, such as time-domain waveforms, phase portraits, Poincaré section diagrams, and power spectral diagrams.

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