DocumentCode
357351
Title
Elimination of chaos in a class of nonlinear oscillators
Author
Altshuller, D.A.
Author_Institution
Lucent Technol. Inc., Naperville, IL, USA
Volume
1
fYear
2000
fDate
2000
Firstpage
40
Abstract
The system under consideration is a second order nonlinear oscillator subjected to damping force and a periodic disturbance consisting of a sine and a cosine component of the unknown frequency. It is assumed that the potential energy of the oscillator has at least two minimal points. The result proved in this paper is that by proper choice of the damping function chaotic behavior can be eliminated for any value of the unknown frequency In order to apply the result it is necessary to know only the distance between the minimal points of the potential energy and the amplitudes of the sine and the cosine components of the periodic disturbance
Keywords
chaos; damping; nonlinear dynamical systems; oscillations; chaotic behavior; cosine components; damping force; minimal points; periodic disturbance; potential energy; second order nonlinear oscillator; sine components; Adaptive control; Books; Chaos; Damping; Equations; Frequency; Orbits; Oscillators; Piecewise linear techniques; Potential energy;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.873505
Filename
873505
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