Stability Analysis of Injection-Locked Multimode Oscillators

Cos, Jesús de; Suárez, Almudena

doi:10.1109/tmtt.2013.2271996

Cited by 4 publications

(3 citation statements)

References 35 publications

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“…As will be shown in the next section, the solutions that are more likely to be observed experimentally are those arising from a stable dc regime or a dc regime with a small number of unstable poles [31]. This is because the unstable poles of the dc solution are transferred to the generated oscillatory periodic solution, in agreement with the well-known bifurcation relationships [22], [32].…”

Section: Ghzmentioning

confidence: 61%

“…This is because synchronization is the only mechanism for the quasi-periodic solution to transform into a subharmonic one. When also traversing the Hopf locus, synchronization points may still exist but their identification is demanding, since it requires the detection of the global saddle-connection bifurcation [12], [20], [31]. The size of the parameter intervals for which this bifurcation occurs is typically very small and located near the co-dimension two bifurcations.…”

Section: Application To a Power Amplifiermentioning

confidence: 99%

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Systematic Methodology for the Global Stability Analysis of Nonlinear Circuits

Hernandez

Suárez

2019

IEEE Trans. Microwave Theory Techn.

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Section: Ghzmentioning

confidence: 61%

Section: Application To a Power Amplifiermentioning

confidence: 99%

Systematic Methodology for the Global Stability Analysis of Nonlinear Circuits

Hernandez

Suárez

2019

IEEE Trans. Microwave Theory Techn.

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“…The methodology presented will be applied to the prototype presented in [49][50]. The experimental circuit in Fig.…”

Section: Application To An Experimental Oscillatormentioning

confidence: 99%

Efficient Simulation of Solution Curves and Bifurcation Loci in Injection-Locked Oscillators

Cos

Suárez

2015

IEEE Trans. Microwave Theory Techn.

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A new method is presented for the two-level harmonic-balance analysis of multivalued synchronized solution curves in injection-locked oscillators. The method is based on the extraction of a nonlinear admittance function, which describes the circuit response from the input source terminals. It does not require any optimization or parameter switching procedures, this constituting a significant advantage compared with previous analysis techniques. With additional mathematical conditions, it enables a straightforward determination of the turning point and Hopf bifurcation loci that delimit the stable injection-locked operation bands. The codimension two bifurcation point at which the turning point and Hopf bifurcation loci merge is analyzed in detail, as well as the saddle-connection locus. As it is shown, a second intersection of the saddle-connection locus with the turning point locus acts as a boundary between synchronization points and points associated with jumps and hysteresis. The likely observation of chaotic solutions in the neighborhood of the saddle-connection locus is discussed too. The techniques have been validated by application to several injection-locked oscillators, obtaining good agreement with the experimental results.

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Dual-band microwave detector based on magnetic tunnel junctions

Zhang

Cai

Fang

et al. 2020

Applied Physics Letters

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The spin-torque diode effect has enabled a nanoscale category of microwave detectors, which are characterized by ultrahigh sensitivities and can work at sub-μW input power. Here, we develop such detectors having a dual-band rectification curve centered at the frequencies f1 and f2 and with a rectified voltage of opposite sign (Vf1>0 and Vf2<0). By selecting the proper bias current and field, the sensitivity is larger than 8000 mV/mW. The physics behind this behavior is the simultaneous excitation of different magnetization oscillation modes and the injection locking mechanism. This dual-band microwave detector could find potential applications in the Internet of Things by reducing the size and the power consumption for signal demodulation in a binary frequency shift keying modulation/demodulation scheme.

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Stability Analysis of Injection-Locked Multimode Oscillators

Cited by 4 publications

References 35 publications

Systematic Methodology for the Global Stability Analysis of Nonlinear Circuits

Systematic Methodology for the Global Stability Analysis of Nonlinear Circuits

Efficient Simulation of Solution Curves and Bifurcation Loci in Injection-Locked Oscillators

Dual-band microwave detector based on magnetic tunnel junctions

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