The Experts below are selected from a list of 1884 Experts worldwide ranked by ideXlab platform
Erik Lindberg - One of the best experts on this subject based on the ideXlab platform.
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The Colpitts Oscillator family
2008Co-Authors: Erik Lindberg, Krishnamurthy Murali, Arunas TamaseviciusAbstract:AbstractA tutorial study of the Colpitts Oscillator family deflned as all Oscillators based on a nonlinearamplifler and a three-terminal linear resonance circuit with one coil and two capacitors. The originalpatents are investigated. The eigenvalues of the linearized Jacobian for Oscillators based on singletransistors or operational ampliflers are studied.IntroductionAn electronic Oscillator is a nonlinear circuit with at least two memory components (charge,°ux or hysteresis based). When excited with a dc source an Oscillator responds with a steadystate signal which may be chaotic of nature in case of more than two memory components. TheColpitts Oscillator is one of the most used Oscillators especially for high frequencies. The aim of thistutorial is to study Colpitts Oscillators deflned as any Oscillator made from a nonlinear ampliflerand a three-terminal linear resonance circuit with one coil and two capacitors called the Colpittsresonator.Electronic Oscillators may be classifled in families according to the kind and number of memoryelements used e.g. the common multi-vibrator family with one capacitor or one coil in connectionwith a nonlinear amplifler [1], the Wien Bridge family where one RC-series and one RC-parallelcircuit occur [2], the negative resistance family where one simple LC resonance circuit occur [3],the Colpitts family where a resonance circuit with two capacitors and one coil occur or the Hartleyfamily where a resonance circuit with two coils and one capacitor occur.Many years ago when the words "Oscillator" and "electronics" were not invented in connectionwith electrical circuits and systems an "
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TOWARDS THRESHOLD FREQUENCY IN CHAOTIC Colpitts Oscillator
International Journal of Bifurcation and Chaos, 2007Co-Authors: Erik Lindberg, Arunas Tamasevicius, Gytis Mykolaitis, Skaidra BumelienėAbstract:A novel version of chaotic Colpitts Oscillator is described. Instead of a linear loss resistor, it includes an extra inductor and a diode in the collector circuit of the transistor. The modified circuit in comparison with the common Colpitts Oscillator may generate chaotic oscillations at the fundamental frequency f* noticeably closer to the threshold frequency fT of the employed bipolar junction transistor, up to f* ≈ 0.6fT.
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Chaotic Colpitts Oscillator for the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: Arunas Tamasevicius, Gytis Mykolaitis, Skaidra Bumelienė, A. Baziliauskas, R. Krivickas, Erik LindbergAbstract:PSpice simulation and experimental results demonstrating chaotic performance of the Colpitts Oscillator in the ultrahigh frequency (300–1000 MHz) range are presented. Various combinations of the resonance tank parameters are considered to achieve a fundamental frequency as high as possible. Simulations indicate that chaotic oscillations observed experimentally at higher frequencies, e.g., at about 1000 MHz are caused by parasites, like wiring inductances, loss resistance appearing due to skin effect, and collector-emitter capacitance of the transistor. Reliable and reproducible chaos can be generated at fundamental frequencies up to about 500 MHz with the single-stage Colpitts Oscillator using the microwave 9 GHz bipolar junction transistors.
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Numerical Investigation and Experimental Demonstration of Chaos from Two-Stage Colpitts Oscillator in the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: S. Bumelienė, Arunas Tamasevicius, Gytis Mykolaitis, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the two-stage Colpitts Oscillator employing the microwave BFG520 type transistors with the threshold frequency of 9 GHz and designed to operate in the ultrahigh frequency range (300–1000 MHz) is described. The practical circuit in addition to the intrinsic two-stage Oscillator contains an emitter follower acting as a buffer and minimizing the influence of the load. The circuit is investigated both numerically and experimentally. Typical phase portraits, Lyapunov exponents, Lyapunov dimension and broadband continuous power spectra are presented. The main advantage of the two-stage chaotic Colpitts Oscillator against its classical single-stage version is in the fact that operating in a chaotic mode it exhibits higher fundamental frequencies and smoother power spectra.
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Two-stage chaotic Colpitts Oscillator for the UHF range
Elektronika Ir Elektrotechnika, 2004Co-Authors: Gytis Mykolaitis, Arunas Tamasevicius, Skaidra Bumelienė, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the novel two-stage Colpitts Oscillator employing the microwave BFG520 transistors with the threshold frequency of 9 GHz is described. The circuit is investigated both numerically and experimentally. Typical phase portraits and broadband continuous power spectra demonstrate chaotic performance of the Oscillator in the ultrahigh frequency range (UHF: 300 to 1000 MHz). The two-stage chaotic Colpitts Oscillator exhibits better spectral characteristics compared to a classical single-stage Colpitts Oscillator. The relative bandwidth is 0.47 and 0.74 for the central frequency of about 500 MHz within the spectral unevenness of 10 dB and 20 dB, respectively. Ill. 4, bibl. 5 (in English; summaries in Lithuanian, English, Russian).
Arunas Tamasevicius - One of the best experts on this subject based on the ideXlab platform.
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The Colpitts Oscillator family
2008Co-Authors: Erik Lindberg, Krishnamurthy Murali, Arunas TamaseviciusAbstract:AbstractA tutorial study of the Colpitts Oscillator family deflned as all Oscillators based on a nonlinearamplifler and a three-terminal linear resonance circuit with one coil and two capacitors. The originalpatents are investigated. The eigenvalues of the linearized Jacobian for Oscillators based on singletransistors or operational ampliflers are studied.IntroductionAn electronic Oscillator is a nonlinear circuit with at least two memory components (charge,°ux or hysteresis based). When excited with a dc source an Oscillator responds with a steadystate signal which may be chaotic of nature in case of more than two memory components. TheColpitts Oscillator is one of the most used Oscillators especially for high frequencies. The aim of thistutorial is to study Colpitts Oscillators deflned as any Oscillator made from a nonlinear ampliflerand a three-terminal linear resonance circuit with one coil and two capacitors called the Colpittsresonator.Electronic Oscillators may be classifled in families according to the kind and number of memoryelements used e.g. the common multi-vibrator family with one capacitor or one coil in connectionwith a nonlinear amplifler [1], the Wien Bridge family where one RC-series and one RC-parallelcircuit occur [2], the negative resistance family where one simple LC resonance circuit occur [3],the Colpitts family where a resonance circuit with two capacitors and one coil occur or the Hartleyfamily where a resonance circuit with two coils and one capacitor occur.Many years ago when the words "Oscillator" and "electronics" were not invented in connectionwith electrical circuits and systems an "
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TOWARDS THRESHOLD FREQUENCY IN CHAOTIC Colpitts Oscillator
International Journal of Bifurcation and Chaos, 2007Co-Authors: Erik Lindberg, Arunas Tamasevicius, Gytis Mykolaitis, Skaidra BumelienėAbstract:A novel version of chaotic Colpitts Oscillator is described. Instead of a linear loss resistor, it includes an extra inductor and a diode in the collector circuit of the transistor. The modified circuit in comparison with the common Colpitts Oscillator may generate chaotic oscillations at the fundamental frequency f* noticeably closer to the threshold frequency fT of the employed bipolar junction transistor, up to f* ≈ 0.6fT.
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Chaotic Colpitts Oscillator for the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: Arunas Tamasevicius, Gytis Mykolaitis, Skaidra Bumelienė, A. Baziliauskas, R. Krivickas, Erik LindbergAbstract:PSpice simulation and experimental results demonstrating chaotic performance of the Colpitts Oscillator in the ultrahigh frequency (300–1000 MHz) range are presented. Various combinations of the resonance tank parameters are considered to achieve a fundamental frequency as high as possible. Simulations indicate that chaotic oscillations observed experimentally at higher frequencies, e.g., at about 1000 MHz are caused by parasites, like wiring inductances, loss resistance appearing due to skin effect, and collector-emitter capacitance of the transistor. Reliable and reproducible chaos can be generated at fundamental frequencies up to about 500 MHz with the single-stage Colpitts Oscillator using the microwave 9 GHz bipolar junction transistors.
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Numerical Investigation and Experimental Demonstration of Chaos from Two-Stage Colpitts Oscillator in the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: S. Bumelienė, Arunas Tamasevicius, Gytis Mykolaitis, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the two-stage Colpitts Oscillator employing the microwave BFG520 type transistors with the threshold frequency of 9 GHz and designed to operate in the ultrahigh frequency range (300–1000 MHz) is described. The practical circuit in addition to the intrinsic two-stage Oscillator contains an emitter follower acting as a buffer and minimizing the influence of the load. The circuit is investigated both numerically and experimentally. Typical phase portraits, Lyapunov exponents, Lyapunov dimension and broadband continuous power spectra are presented. The main advantage of the two-stage chaotic Colpitts Oscillator against its classical single-stage version is in the fact that operating in a chaotic mode it exhibits higher fundamental frequencies and smoother power spectra.
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Two-stage chaotic Colpitts Oscillator for the UHF range
Elektronika Ir Elektrotechnika, 2004Co-Authors: Gytis Mykolaitis, Arunas Tamasevicius, Skaidra Bumelienė, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the novel two-stage Colpitts Oscillator employing the microwave BFG520 transistors with the threshold frequency of 9 GHz is described. The circuit is investigated both numerically and experimentally. Typical phase portraits and broadband continuous power spectra demonstrate chaotic performance of the Oscillator in the ultrahigh frequency range (UHF: 300 to 1000 MHz). The two-stage chaotic Colpitts Oscillator exhibits better spectral characteristics compared to a classical single-stage Colpitts Oscillator. The relative bandwidth is 0.47 and 0.74 for the central frequency of about 500 MHz within the spectral unevenness of 10 dB and 20 dB, respectively. Ill. 4, bibl. 5 (in English; summaries in Lithuanian, English, Russian).
Gytis Mykolaitis - One of the best experts on this subject based on the ideXlab platform.
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TOWARDS THRESHOLD FREQUENCY IN CHAOTIC Colpitts Oscillator
International Journal of Bifurcation and Chaos, 2007Co-Authors: Erik Lindberg, Arunas Tamasevicius, Gytis Mykolaitis, Skaidra BumelienėAbstract:A novel version of chaotic Colpitts Oscillator is described. Instead of a linear loss resistor, it includes an extra inductor and a diode in the collector circuit of the transistor. The modified circuit in comparison with the common Colpitts Oscillator may generate chaotic oscillations at the fundamental frequency f* noticeably closer to the threshold frequency fT of the employed bipolar junction transistor, up to f* ≈ 0.6fT.
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Chaotic Colpitts Oscillator for the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: Arunas Tamasevicius, Gytis Mykolaitis, Skaidra Bumelienė, A. Baziliauskas, R. Krivickas, Erik LindbergAbstract:PSpice simulation and experimental results demonstrating chaotic performance of the Colpitts Oscillator in the ultrahigh frequency (300–1000 MHz) range are presented. Various combinations of the resonance tank parameters are considered to achieve a fundamental frequency as high as possible. Simulations indicate that chaotic oscillations observed experimentally at higher frequencies, e.g., at about 1000 MHz are caused by parasites, like wiring inductances, loss resistance appearing due to skin effect, and collector-emitter capacitance of the transistor. Reliable and reproducible chaos can be generated at fundamental frequencies up to about 500 MHz with the single-stage Colpitts Oscillator using the microwave 9 GHz bipolar junction transistors.
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Numerical Investigation and Experimental Demonstration of Chaos from Two-Stage Colpitts Oscillator in the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: S. Bumelienė, Arunas Tamasevicius, Gytis Mykolaitis, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the two-stage Colpitts Oscillator employing the microwave BFG520 type transistors with the threshold frequency of 9 GHz and designed to operate in the ultrahigh frequency range (300–1000 MHz) is described. The practical circuit in addition to the intrinsic two-stage Oscillator contains an emitter follower acting as a buffer and minimizing the influence of the load. The circuit is investigated both numerically and experimentally. Typical phase portraits, Lyapunov exponents, Lyapunov dimension and broadband continuous power spectra are presented. The main advantage of the two-stage chaotic Colpitts Oscillator against its classical single-stage version is in the fact that operating in a chaotic mode it exhibits higher fundamental frequencies and smoother power spectra.
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Two-stage chaotic Colpitts Oscillator for the UHF range
Elektronika Ir Elektrotechnika, 2004Co-Authors: Gytis Mykolaitis, Arunas Tamasevicius, Skaidra Bumelienė, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the novel two-stage Colpitts Oscillator employing the microwave BFG520 transistors with the threshold frequency of 9 GHz is described. The circuit is investigated both numerically and experimentally. Typical phase portraits and broadband continuous power spectra demonstrate chaotic performance of the Oscillator in the ultrahigh frequency range (UHF: 300 to 1000 MHz). The two-stage chaotic Colpitts Oscillator exhibits better spectral characteristics compared to a classical single-stage Colpitts Oscillator. The relative bandwidth is 0.47 and 0.74 for the central frequency of about 500 MHz within the spectral unevenness of 10 dB and 20 dB, respectively. Ill. 4, bibl. 5 (in English; summaries in Lithuanian, English, Russian).
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Experimental demonstration of chaos from Colpitts Oscillator in VHF and UHF ranges
Electronics Letters, 2004Co-Authors: Gytis Mykolaitis, Arunas Tamasevicius, S. BumelieneAbstract:Experimental results demonstrating chaotic performance of the Colpitts Oscillator in the very high frequency (30–300 MHz) and the ultra-high frequency (300–1000 MHz) ranges are reported. Period-doubling route to chaos is revealed, confirming the dynamical nature of the chaotic oscillations. Broadband continuous power spectra are presented.
A. Baziliauskas - One of the best experts on this subject based on the ideXlab platform.
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Numerical Investigation and Experimental Demonstration of Chaos from Two-Stage Colpitts Oscillator in the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: S. Bumelienė, Arunas Tamasevicius, Gytis Mykolaitis, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the two-stage Colpitts Oscillator employing the microwave BFG520 type transistors with the threshold frequency of 9 GHz and designed to operate in the ultrahigh frequency range (300–1000 MHz) is described. The practical circuit in addition to the intrinsic two-stage Oscillator contains an emitter follower acting as a buffer and minimizing the influence of the load. The circuit is investigated both numerically and experimentally. Typical phase portraits, Lyapunov exponents, Lyapunov dimension and broadband continuous power spectra are presented. The main advantage of the two-stage chaotic Colpitts Oscillator against its classical single-stage version is in the fact that operating in a chaotic mode it exhibits higher fundamental frequencies and smoother power spectra.
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Chaotic Colpitts Oscillator for the Ultrahigh Frequency Range
Nonlinear Dynamics, 2006Co-Authors: Arunas Tamasevicius, Gytis Mykolaitis, Skaidra Bumelienė, A. Baziliauskas, R. Krivickas, Erik LindbergAbstract:PSpice simulation and experimental results demonstrating chaotic performance of the Colpitts Oscillator in the ultrahigh frequency (300–1000 MHz) range are presented. Various combinations of the resonance tank parameters are considered to achieve a fundamental frequency as high as possible. Simulations indicate that chaotic oscillations observed experimentally at higher frequencies, e.g., at about 1000 MHz are caused by parasites, like wiring inductances, loss resistance appearing due to skin effect, and collector-emitter capacitance of the transistor. Reliable and reproducible chaos can be generated at fundamental frequencies up to about 500 MHz with the single-stage Colpitts Oscillator using the microwave 9 GHz bipolar junction transistors.
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Two-stage chaotic Colpitts Oscillator for the UHF range
Elektronika Ir Elektrotechnika, 2004Co-Authors: Gytis Mykolaitis, Arunas Tamasevicius, Skaidra Bumelienė, A. Baziliauskas, Erik LindbergAbstract:A hardware prototype of the novel two-stage Colpitts Oscillator employing the microwave BFG520 transistors with the threshold frequency of 9 GHz is described. The circuit is investigated both numerically and experimentally. Typical phase portraits and broadband continuous power spectra demonstrate chaotic performance of the Oscillator in the ultrahigh frequency range (UHF: 300 to 1000 MHz). The two-stage chaotic Colpitts Oscillator exhibits better spectral characteristics compared to a classical single-stage Colpitts Oscillator. The relative bandwidth is 0.47 and 0.74 for the central frequency of about 500 MHz within the spectral unevenness of 10 dB and 20 dB, respectively. Ill. 4, bibl. 5 (in English; summaries in Lithuanian, English, Russian).
Michael Peter Kennedy - One of the best experts on this subject based on the ideXlab platform.
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nonsmooth bifurcations in a piecewise linear model of the Colpitts Oscillator
IEEE Transactions on Circuits and Systems I-regular Papers, 2000Co-Authors: G M Maggio, M Di Bernardo, Michael Peter KennedyAbstract:This paper deals with the implications of considering a first-order approximation of the circuit nonlinearities in circuit simulation and design. The Colpitts Oscillator is taken as a case study and the occurrence of discontinuous bifurcations, namely, border-collision bifurcations, in a piecewise-linear model of the Oscillator is discussed. In particular, we explain the mechanism responsible for the dramatic changes of dynamical behavior exhibited by this model when one or more of the circuit parameters are varied. Moreover, it is shown how an approximate one-dimensional (1-D) map for the Colpitts Oscillator can be exploited for predicting border-collision bifurcations. It turns out that at a border collision bifurcation, a 1-D return map of the Colpitts Oscillator exhibits a square-root-like singularity. Finally, through the 1-D map, a two-parameter bifurcation analysis is carried out and the relationships are pointed out between border-collision bifurcations and the conventional bifurcations occurring in smooth systems.
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THE Colpitts Oscillator: FAMILIES OF PERIODIC SOLUTIONS AND THEIR BIFURCATIONS
International Journal of Bifurcation and Chaos, 2000Co-Authors: Oscar De Feo, Gian Mario Maggio, Michael Peter KennedyAbstract:In this work we consider the Colpitts Oscillator as a paradigm for sinusoidal oscillation and we investigate its nonlinear dynamics. In particular, we carry out a two-parameter bifurcation analysis of a model of the Oscillator. This analysis is conducted by combining numerical continuation techniques and normal form theory. First, we show that the birth of the harmonic cycle is associated with a Hopf bifurcation and we discuss the effects of idealization in the model. Various families of limit cycles are identified and their bifurcations are analyzed in detail. In particular, we demonstrate that the bifurcation diagram in the parameter space is organized by an infinite family of homoclinic bifurcations. Finally, local and global coexistence phenomena are described.
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Nonlinear analysis of the Colpitts Oscillator and applications to design
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1999Co-Authors: G M Maggio, O. De Feo, Michael Peter KennedyAbstract:This paper reports a methodological approach to the analysis and design of sinusoidal Oscillators based on bifurcation analysis. The simple Colpitts Oscillator is taken as an example to demonstrate this nonlinear approach for both the nearly sinusoidal and chaotic modes of operation. In particular, it is shown how regular and irregular (chaotic) oscillations can be generated, depending on the circuit parameters.
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Devaney Chaos in an Approximate One-Dimensional Model of the Colpitts Oscillator
International Journal of Bifurcation and Chaos, 1997Co-Authors: Fiacre O'cairbre, Gian Mario Maggio, Michael Peter KennedyAbstract:In this paper we consider an approximate one-dimensional model for describing the non-linear dynamics of the Colpitts Oscillator. It has already been shown that this model preserves the qualitative dynamical behavior of the Colpitts Oscillator. Using the theory of snap-back repellors we prove that the one-dimensional model is chaotic for certain values of its parameters.
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On the relationship between the chaotic Colpitts Oscillator and Chua's Oscillator
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1995Co-Authors: Michael Peter KennedyAbstract:In this letter, we show that the two-region third-order piecewise-linear dynamics of the chaotic Colpitts Oscillator may be mapped to a Chua's Oscillator with an asymmetric nonlinearity. >