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We study the origins of period doubling and chaos in the driven series resistor-inductor-varactor diode (RLD) nonlinear resonant circuit. We find that resonators driven at frequencies much higher than the diode reverse recovery rate do not…

Chaotic Dynamics · Physics 2008-11-29 Renato Mariz de Moraes , Steven M. Anlage

A nonlinear RLC resonator is investigated experimentally and numerically using bifurcation analysis. The nonlinearity is due to the parallel combination of a semiconductor rectifier diode and a fixed capacitor. The diode's junction…

Classical Physics · Physics 2024-07-03 Edward H. Hellen

Oscillation and frequency modulation have been leveraged for applications in detection (or sensing), data processing, and telemetry. This work provides a theoretical analysis of oscillation phenomena with negative impedance implemented…

Instrumentation and Detectors · Physics 2026-04-28 Taeju Lee

The effects of noise on the dynamics of nonlinear systems is known to lead to many counter-intuitive behaviors. Using simple planar limit cycle oscillators, we show that the addition of moderate noise leads to qualitatively different…

Chaotic Dynamics · Physics 2015-06-17 Jay M. Newby , Michael A. Schwemmer

As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations…

Adaptation and Self-Organizing Systems · Physics 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

We find that feedback control may induce "pseudo" nonlinear dynamics in a damped harmonic oscillator, whose centroid trajectory in the phase space behaves like a classical nonlinear system. Thus, similar to nonlinear amplifiers (e.g.,…

Quantum Physics · Physics 2015-05-14 Jing Zhang , Yu-xi Liu , Re-Bing Wu , Chun-Wen Li , Tzyh-Jong Tarn

Motivated by recent "circuit QED" experiments we investigate the noise properties of coherently driven nonlinear resonators. By using Josephson junctions in superconducting circuits, strong nonlinearities can be engineered, which lead to…

Mesoscale and Nanoscale Physics · Physics 2012-05-25 Stephan André , Lingzhen Guo , Vittorio Peano , Michael Marthaler , Gerd Schön

Waveguides subject to spatiotemporal modulations are known to exhibit nonreciprocal vibration transmission, whereby interchanging the locations of the source and receiver change the end-to-end transmission characteristics. The scenario of…

Applied Physics · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

The interaction of a charged particle beam with radio-frequency (RF) systems in most linear or circular accelerators is an non-linear process. The large longitudinal electric fields for acceleration and longitudinal beam manipulations can…

Accelerator Physics · Physics 2021-08-11 Heiko Damerau

We analyse the nonlinear behaviour of a third-order class-D amplifier, and demonstrate the remarkable effectiveness of the recently introduced ripple compensation (RC) technique in reducing the audio distortion of the device. The amplifier…

Signal Processing · Electrical Eng. & Systems 2018-05-09 Stephen M. Cox , H. du Toit Mouton

The high tech industry which requires fast stable motion with nanometer precision continues to mainly use PID which is limited by fundamental linear control limitations. Floor vibrations as disturbance significantly affect performance and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Erdi Akyüz , Niranjan Saikumar , S. Hassan HosseinNia

The ever-increasing industry desire for improved performance makes linear controller design run into fundamental limitations. Nonlinear control methods such as Reset Control (RC) are needed to overcome these. RC is a promising candidate…

Systems and Control · Electrical Eng. & Systems 2020-10-01 R. N. Buitenhuis , N. Saikumar , S. H. HosseinNia

Using a stochastic nonlinear phase oscillator model, we study the effect of event-triggered feedback on the statistics of interevent intervals. Events are associated with the entering of a new cycle. The feedback is modeled by an…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Justus A. Kromer , Benjamin Lindner , Lutz Schimansky-Geier

The phase-locked loop (PLL) used in the doubly fed induction generator (DFIG) can cause frequency coupling phenomena, which will give negative resistance characteristics ofthe DFIG at low frequency, resulting in stability issues under weak…

Systems and Control · Electrical Eng. & Systems 2023-07-20 Xiaoling Xiong , Bochen Luo , Longcan Li , Ziming Sun , Frede Blaabjerg

Harmonic generation during radio frequency (RF)-dc conversion causes performance degradation of a microwave rectifying circuit. To suppress and recycle the harmonic power, this letter proposes a novel compact dual-band resonator (DBR) based…

Applied Physics · Physics 2026-01-06 Pengde Wu , Hao Wu , Yi-Dan Chen , Zhi Hua Ren , Yuhua Cheng , Changjun Liu

The article is devoted to the investigation of the nonlinear effects in a system of the coupled longitudinal-torsional parametric vibrations of a rotating rod. Constructed and investigated mathematical model, based on which we calculated…

Applied Physics · Physics 2018-03-13 Ivan V. Kazachkov

We show how the recurrence phenomenon characteristic of the nonlinear stage of induced modulational instability in a passive fiber is affected by forcing. An additional linear amplification, even if extremely weak, induces separatrix…

Quantum coherent feedback has been proven to be an efficient way to tune the dynamics of quantum optical systems and, recently, those of solid-state quantum circuits. Here, inspired by the recent progress of quantum feedback experiments,…

Quantum Physics · Physics 2014-01-08 Zhong-Peng Liu , Hui Wang , Jing Zhang , Yu-xi Liu , Re-Bing Wu , Franco Nori

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

We explore nonreciprocal vibration transmission in a nonlinear periodic waveguide. Nonlinearity and asymmetry, the two necessary requirements for nonreciprocity, are both introduced within the unit cell of the periodic waveguide. We focus…

Pattern Formation and Solitons · Physics 2025-10-20 Ali Kogani , Behrooz Yousefzadeh
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