Van der Pol Oscillators Based on Transistor Structures with Negative Differential Resistance for Infocommunication System Facilities

Семенов, А. А.; Семенова, Олена; Osadchuk, А. V.; Осадчук, Ярослав; Baraban, Serhii; Rudyk, Andrii; Safonyk, Andrii; Voznyak, Oleksandr

doi:10.1007/978-3-030-71892-3_3

Cited by 3 publications

(2 citation statements)

References 54 publications

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“…For low power, low frequency applications (50 Hz, 5 V), a circuit based on operational amplifier (AOP) and diode was proposed for SPICE simulation by Fotsin et al [41] and later confirmed experimentally by Ngamsa et al [42,43]. For low-power beam steering applications at micro-waves frequency, a model-based tunnel diode and transistor were used by A Semenov and O Semenova [44] and David Cordeau [1]. The proposed circuit model used in this work to build the phased shift exploits the original van der Pol oscillator based on vacuum triode [45][46][47].…”

Section: Circuit Designmentioning

confidence: 99%

Dynamics of high-power coupled nonlinear oscillator arrays for electronic beam steering technique: case of the triode based van der Pol oscillator

Tsefack,

Tegnitsap,

Fotsin

et al. 2024

Phys. Scr.

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This paper presents the dynamics of coupled nonlinear oscillator arrays (CNOAs) as phase shifter for electronic beam steering technique. The proposed phase shifter uses oscillators of van der Pol type with a fifth-order nonlinear resistance and is built on the two architectures based injection-locked oscillator array (ILOAs) and coupled oscillator arrays (COAs). The dynamics equations of the phase shifter are proposed in the frequency and time domain. With the help of mathematical tools such as bifurcation diagrams, maximum Lyapunov exponent and Hilbert transform, important cartography of different oscillating states is deduced over large range of system parameters. Different behavior of the CNOAs including chaos, 2D-torus, multistability, locked and unlocked states are depicted. The phase shift between output voltages of each pair of coupled oscillators is presented for both architectures. A detailed analysis of locked states shows that the required phase shift is synthesized by slightly varying the frequency of the injected signal, or simply by detuning the free-running frequencies of the edge oscillators in equal but opposite directions. The proposed circuit of the phased shifter is built using the original van der Pol oscillator based on a vacuum triode. The maximal phase shift reaches 63° and 75° respectively for ILOAs and COAs. With the presence of triode in the circuit, the output voltage of each oscillating element in the array reaches 100 V around 60 KHz and is boosted by increasing the value of the triode bias potential to more than 420 V. This, therefore, increases the total power dissipation of a single oscillator in the array to more than 47 dB (50.12 W). This circuit is a candidate for high-power electronics beam steering at ultrasonic frequency.

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Section: Circuit Designmentioning

confidence: 99%

Dynamics of high-power coupled nonlinear oscillator arrays for electronic beam steering technique: case of the triode based van der Pol oscillator

Tsefack,

Tegnitsap,

Fotsin

et al. 2024

Phys. Scr.

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show abstract

“…In 1927, the illustrious van der Pol equation was proposed to describe the oscillation effect of triodes in electronic circuits [1]. Then, in physics [2][3][4], biology [5,6] and economics [7], the van der Pol equation has become a fundamental model to describe the oscillation process. Meanwhile, the memristor was defined in 1971 as the fourth basic circuit device by Academician Chua, following the three basic Double-terminal circuit elements of resistors, capacitors and inductors [8], it can be regarded as a time-varying resistor, and its resistance depends on the amount of charge passing through it.…”

Section: Introductionmentioning

confidence: 99%

Symplectic Dynamics and Simultaneous Resonance Analysis of Memristor Circuit Based on Its van der Pol Oscillator

et al. 2022

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A non-autonomous memristor circuit based on van der Pol oscillator with double periodically forcing term is presented and discussed. Firstly, the differences of the van der Pol oscillation of memristor model between Euler method and symplectic Euler method, four-order Runge–Kutta method (RK4) and four-order symplectic Runge–Kutta–Nyström method (SRKN4), symplectic Euler method and RK4 method, and symplectic Euler method and SRKN4 method in preserving structure are compared from theoretical and numerical simulations, the symmetry and structure preserving and numerical stability of symplectic scheme are demonstrated. Moreover, the analytic solution of the primary and subharmonic simultaneous resonance of this system is obtained by using the multi-scale method. Finally, based on the resonance relation of the system, the chaotic dynamics behaviors with different parameters are studied.

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Two-Terminal Electronic Circuits with Controllable Linear NDR Region and Their Applications

Ulansky

Raza

Milke³

2021

Applied Sciences

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Negative differential resistance (NDR) is inherent in many electronic devices, in which, over a specific voltage range, the current decreases with increasing voltage. Semiconductor structures with NDR have several unique properties that stimulate the search for technological and circuitry solutions in developing new semiconductor devices and circuits experiencing NDR features. This study considers two-terminal NDR electronic circuits based on multiple-output current mirrors, such as cascode, Wilson, and improved Wilson, combined with a field-effect transistor. The undoubted advantages of the proposed electronic circuits are the linearity of the current-voltage characteristics in the NDR region and the ability to regulate the value of negative resistance by changing the number of mirrored current sources. We derive equations for each proposed circuit to calculate the NDR region’s total current and differential resistance. We consider applications of NDR circuits for designing microwave single frequency oscillators and voltage-controlled oscillators. The problem of choosing the optimal oscillator topology is examined. We show that the designed oscillators based on NDR circuits with Wilson and improved Wilson multiple-output current mirrors have high efficiency and extremely low phase noise. For a single frequency oscillator consuming 33.9 mW, the phase noise is −154.6 dBc/Hz at a 100 kHz offset from a 1.310 GHz carrier. The resulting figure of merit is −221.6 dBc/Hz. The implemented oscillator prototype confirms the theoretical achievements.

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Van der Pol Oscillators Based on Transistor Structures with Negative Differential Resistance for Infocommunication System Facilities

Cited by 3 publications

References 54 publications

Dynamics of high-power coupled nonlinear oscillator arrays for electronic beam steering technique: case of the triode based van der Pol oscillator

Dynamics of high-power coupled nonlinear oscillator arrays for electronic beam steering technique: case of the triode based van der Pol oscillator

Symplectic Dynamics and Simultaneous Resonance Analysis of Memristor Circuit Based on Its van der Pol Oscillator

Two-Terminal Electronic Circuits with Controllable Linear NDR Region and Their Applications

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