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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…

经典物理 · 物理学 2024-07-03 Edward H. Hellen

A simple model of a distributed, non-linear circuit that produces chaos at GHz frequencies is introduced and tested experimentally. The model circuit is a driven diode-terminated transmission line with the transmission line impedance…

We investigate the combined effect of rectification and nonlinear dynamics on the behavior of several simple nonlinear circuits. We consider the classic Resistor-Inductor-Diode (RLD) circuit driven by a low frequency source when an…

混沌动力学 · 物理学 2016-09-08 Renato Mariz de Moraes , Steven M. Anlage

In this work the non-linear and chaotic behaviour for the RLD circuit is analysed, which is modelled by state space and numerically simulated considering the diode model an association between nonlinear resistances and capacitances. It has…

系统与控制 · 计算机科学 2017-11-21 Marcia L. C. Peixoto , Erivelton G. Nepomuceno , Samir A. M. Martins

The scope of the paper is the analysis of the impact of flow reversal on the dynamics of cascades of reactors. Periodic and chaotic oscillations occur in the analyzed system. There is a dependence between the oscillation period of the state…

混沌动力学 · 物理学 2026-02-10 Marek Berezowski , Bozena Kulik

Spatiotemporal chaos in the form of defect-mediated turbulence is known for oscillators coupled by diffusion. Here we explore the same conditions that produce defect turbulence, in an array of oscillators that are coupled through the…

混沌动力学 · 物理学 2018-09-27 Igal Berenstein

Spatio-temporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due…

凝聚态物理 · 物理学 2009-10-28 O. M. Bulashenko , L. L. Bonilla

We study experimentally the dynamic tunability and self-induced nonlinearity of split-ring resonators incorporating variable capacitance diodes. We demonstrate that the eigenfrequencies of the resonators can be tuned over a wide frequency…

光学 · 物理学 2009-11-13 Ilya V. Shadrivov , Steven K. Morrison , Yuri S. Kivshar

Characterizing the emergence of chaotic dynamics of complex networks is an essential task in nonlinear science with potential important applications in many fields such as neural control engineering, microgrid technologies, and ecological…

适应与自组织系统 · 物理学 2024-04-29 Ricardo Chacón , Pedro J. Martínez

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…

适应与自组织系统 · 物理学 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

We investigate a simple variation of the series RLC circuit in which anti-parallel diodes replace the resistor. This results in a damped harmonic oscillator with a nonlinear damping term that is maximal at zero current and decreases with an…

物理教育 · 物理学 2009-11-11 Edward H. Hellen , Matthew J. Lanctot

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and…

介观与纳米尺度物理 · 物理学 2013-05-29 R. B. Karabalin , M. C. Cross , M. L. Roukes

Nonlinear light-matter interactions and their applications are constrained by properties of available materials. The use of metamaterials opens the way to achieve precise control over electromagnetic properties at a microscopic level,…

其他凝聚态物理 · 物理学 2016-09-19 Dmitry Filonov , Yotam Kramer , Vitali Kozlov , Boris A. Malomed , Pavel Ginzburg

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

光学 · 物理学 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

We show the possibility of controlling the dynamical behavior of a single fiber ring (SFR) resonator system with the fiber being an amplified (gain) channel and the ring being attenuated (loss) nonlinear dielectric medium. Our model is…

混沌动力学 · 物理学 2017-10-25 Jyoti P. Deka , Samit Kumar Gupta , Amarendra K. Sarma

We report emergence of saturation and chaotic spiking of optical power in a double ring resonator with balanced loss and gain, obeying the so-called parity-time symmetry. We have modeled the system using a discrete-time iterative equation…

光学 · 物理学 2018-01-04 Jyoti Prasad Deka , Amarendra K. Sarma

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly…

The double barrier resonant tunneling diode exhibits complex spatio-temporal patterns including low-dimensional chaos when operated in an active external circuit. We demonstrate how autosynchronization by time--delayed feedback control can…

凝聚态物理 · 物理学 2007-05-23 J. Unkelbach , A. Amann , W. Just , E. Schöll

We consider chaotic dynamics of a system of two coupled ring resonators with a linear gain and a nonlinear absorption. Such a structure can be implemented in various settings including microresonator nanostructures, polariton condensates,…

We consider a Hamiltonian system of coupled Van der Pol-Duffing(VdPD) oscillators with balanced loss and gain. The system is analyzed perturbatively by using Renormalization Group(RG) techniques as well as Multiple Scale Analysis(MSA). Both…

混沌动力学 · 物理学 2022-07-27 Puspendu Roy , Pijush K. Ghosh
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