Studies on the Dynamics of Bilaterally Coupled X-Band Gunn Oscillators

Sarkar, B. C.; Sarkar, Debdeep; Sarkar, Shrabana; Chakraborty, Joydeep

doi:10.2528/pierb11052201

Cited by 11 publications

(17 citation statements)

References 21 publications

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“…In numerical simulation, we take value of the parameter c negative (−0.002) to have below threshold operation (as noted in 2.1) and values of other parameters (a, b, d) are chosen from the knowledge of the dynamics of a GO reported in [22][23][24]. Note that a and b determine the oscillating frequency and d bounds the growth of sustained oscillation amplitude [22]. Among these parameters, c is most sensitive to bias voltage variation.…”

Section: Numerical Simulation and Resultsmentioning

confidence: 99%

“…This technique of chaos generation is similar to parameter tuning technique of a forced non-oscillatory Rayleigh-Duffing oscillator [18,19]. The onset of chaotic oscillations in different microwave oscillators has also been reported in the literature [20][21][22][23][24]. Further, in the condition of unilateral and bi-lateral coupling, two chaotic oscillators become synchronized.…”

Section: Introductionmentioning

confidence: 99%

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Effects of Chaotic Perturbation on a Periodic Gunn Oscillator

Sarkar¹,

Sarkar²,

Guin³

et al. 2015

PIER C

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Abstract-We have studied dynamics of a periodic X-band Gunn oscillator (GO) forced by microwave chaotic signals through numerical simulation and by hardware experiment. The chaos used as forcing signal is generated in a periodically driven non-oscillatory GO. Numerical simulation results indicate that the forced periodic GO becomes chaotic for a moderate strength of forcing chaos. The generated chaos in driven GO is found to become phase or general synchronized to the forcing chaos depending on strength of the latter one. Hardware experiments are performed in X-band of microwave frequency. It shows generation of chaos in driven GO due to forcing. Moreover, synchronization between forcing and generated chaos is indirectly verified.

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Section: Numerical Simulation and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of Chaotic Perturbation on a Periodic Gunn Oscillator

Sarkar¹,

Sarkar²,

Guin³

et al. 2015

PIER C

Self Cite

View full text Add to dashboard Cite

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“…The differential equation describing the dynamics of the system is derived from the model depicted in Figure 1 applying the Kirchhoff's mesh law. The obtained equation is written as follows after some logical substitution and normalization [19]:…”

Section: Circuit Theoretic Model Of the Oscillatormentioning

confidence: 99%

“…As β 1 and β 3 are related to the device resistance so they demand more attention in the analysis of onset of oscillation. Also the relative magnitude of β 3 is much less compared to β 1 , hence the parameter d can be taken smaller than c. The effect of variation of the applied dc bias would be studied by considering the variation of c. Note that the increase in the value of V B results in the decrease in the value of c [19].…”

Section: Circuit Theoretic Model Of the Oscillatormentioning

confidence: 99%

Some Numerical and Experimental Observations on the Growth of Oscillations in an X-Band Gunn Oscillator

Sarkar¹,

Koley²,

Guin³

et al. 2012

PIER B

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Abstract-The dynamics of the onset of oscillations in a wave guide cavity based Gunn Oscillator (GO) has been critically examined through numerical simulations and experimental studies.The transition of the GO from a non-oscillatory to an oscillatory state and the same in the reverse direction occurs at different critical values of the dc bias voltage applied to the GO. In presence of a weak RF field in GO cavity, oscillations with broad band continuous spectrum and multiple discrete line spectrum are observed at the GO output for different values of dc bias below the above mentioned critical values. Analysing the numerically obtained time series data, chaos quantifiers have been obtained to prove the occurrence of the chaotic oscillations in the GO. Experimental results and observations of numerical simulation show good qualitative agreement.

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“…[11][12][13]. Recently, the dynamics of a system of bilaterally coupled periodic Gunn oscillators (BCPGO) has been studied [14]. There it has been shown that, depending on the magnitude of the coupling factors (CF) between two oscillators, the system could operate in a synchronized state, a quasi periodic state or a chaotic state.…”

Section: Introductionmentioning

confidence: 99%

Studies on the Dynamics of a System of Bilaterally Coupled Chaotic Gunn Oscillators

Sarkar¹,

Koley²,

Guin³

et al. 2012

PIER B

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Abstract-The dynamics of a system of two bilaterally coupled chaotically oscillating X-band Gunn oscillators (GOs) has been studied by numerical simulation and by hardware experiment. The effect of variation of the coupling strengths between two oscillators in two paths has been explored. The chaotic oscillations in two GOs have become synchronized in most of the cases when coupling factors (CFs) are around 20% or more. However, the transformation of chaotic states of the GOs to quasi-periodic ones has been observed for some values of CFs. A detailed numerical analysis on the instantaneous error parameters of the GO state variables is presented to identify different steady state dynamical conditions of the system. Experimental observations of the GO output frequency power spectra and the averaged product of the two GO outputs in the coupled mode confirm the occurrence of synchronization as well as quenching of chaotic oscillations for different values of CFs.

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Studies on the Dynamics of Bilaterally Coupled X-Band Gunn Oscillators

Cited by 11 publications

References 21 publications

Effects of Chaotic Perturbation on a Periodic Gunn Oscillator

Effects of Chaotic Perturbation on a Periodic Gunn Oscillator

Some Numerical and Experimental Observations on the Growth of Oscillations in an X-Band Gunn Oscillator

Studies on the Dynamics of a System of Bilaterally Coupled Chaotic Gunn Oscillators

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