Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators
We show a technique for external direct current (DC) control of the amplitudes of limit cycles both in the Phase-shift and Twin-T oscillators. We have found that amplitudes of the oscillator output voltage depend on the DC control voltage. By varying the total impedance of each oscillator oscillator...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Active and Passive Electronic Components |
| Online Access: | http://dx.doi.org/10.1155/2008/539618 |
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| author | J. P. Dada J. C. Chedjou S. Domngang |
| author_facet | J. P. Dada J. C. Chedjou S. Domngang |
| author_sort | J. P. Dada |
| collection | DOAJ |
| description | We show a technique for external direct current (DC) control of the amplitudes of limit cycles both in the Phase-shift and Twin-T oscillators. We have found that amplitudes of the oscillator output voltage depend on the DC control voltage. By varying the total impedance of each oscillator oscillatory network, frequencies of oscillations are controlled using potentiometers. The main advantage of the proposed circuits is that both the amplitude and frequency of the waveforms generated can be independently controlled. Analytical, numerical, and experimental methods are used to determine the boundaries of the states of the oscillators. Equilibrium points, stable limit cycles, and divergent states are found. Analytical results are compared with the numerical and experimental solutions, and a good agreement is obtained. |
| format | Article |
| id | doaj-art-0f691a214088442eb19c9e18b403ca6d |
| institution | Kabale University |
| issn | 0882-7516 1563-5031 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Active and Passive Electronic Components |
| spelling | doaj-art-0f691a214088442eb19c9e18b403ca6d2025-02-03T01:12:31ZengWileyActive and Passive Electronic Components0882-75161563-50312008-01-01200810.1155/2008/539618539618Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T OscillatorsJ. P. Dada0J. C. Chedjou1S. Domngang2Department of Physics, Faculty of Science, University of Yaoundé-I, P.O. Box 812, Yaoundé, CameroonDepartment of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, CameroonDepartment of Physics, Faculty of Science, University of Yaoundé-I, P.O. Box 812, Yaoundé, CameroonWe show a technique for external direct current (DC) control of the amplitudes of limit cycles both in the Phase-shift and Twin-T oscillators. We have found that amplitudes of the oscillator output voltage depend on the DC control voltage. By varying the total impedance of each oscillator oscillatory network, frequencies of oscillations are controlled using potentiometers. The main advantage of the proposed circuits is that both the amplitude and frequency of the waveforms generated can be independently controlled. Analytical, numerical, and experimental methods are used to determine the boundaries of the states of the oscillators. Equilibrium points, stable limit cycles, and divergent states are found. Analytical results are compared with the numerical and experimental solutions, and a good agreement is obtained.http://dx.doi.org/10.1155/2008/539618 |
| spellingShingle | J. P. Dada J. C. Chedjou S. Domngang Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators Active and Passive Electronic Components |
| title | Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators |
| title_full | Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators |
| title_fullStr | Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators |
| title_full_unstemmed | Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators |
| title_short | Amplitude and Frequency Control: Stability of Limit Cycles in Phase-Shift and Twin-T Oscillators |
| title_sort | amplitude and frequency control stability of limit cycles in phase shift and twin t oscillators |
| url | http://dx.doi.org/10.1155/2008/539618 |
| work_keys_str_mv | AT jpdada amplitudeandfrequencycontrolstabilityoflimitcyclesinphaseshiftandtwintoscillators AT jcchedjou amplitudeandfrequencycontrolstabilityoflimitcyclesinphaseshiftandtwintoscillators AT sdomngang amplitudeandfrequencycontrolstabilityoflimitcyclesinphaseshiftandtwintoscillators |