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Locked intrinsic localized modes (ILMs) and large amplitude lattice spatial modes (LSMs) have been experimentally measured for a driven 1-D nonlinear cyclic electric transmission line, where the nonlinear element is a saturable capacitor.…

Pattern Formation and Solitons · Physics 2018-05-09 S. Shige , K. Miyasaka , W. Shi , Y. Soga , M. Sato , A. J. Sievers

A detailed investigation of the nonlinear multimodal interference in a short graded-index multimode optical fiber is presented. The analysis is performed for a specific device geometry, where the light is coupled in and out of the multimode…

Optics · Physics 2013-07-17 Elham Nazemosadat , Arash Mafi

We consider Lurye (sometimes written Lur'e) systems whose nonlinear operator is characterised by a possibly multivalued nonlinearity that is bounded above and below by monotone functions. Stability can be established using a sub-class of…

Optimization and Control · Mathematics 2020-09-22 William P. Heath , Joaquin Carrasco , Dmitry A. Altshuller

A methodology is introduced that enables an absolute, quantum-limited measurement of sub-wavelength interferometric displacements. The technique utilizes a high-frequency optical path modulation within an interferometer operated in a…

Quantum Physics · Physics 2016-02-12 Valérian Thiel , Pu Jian , Claude Fabre , Nicolas Treps , Jonathan Roslund

Experimental evidence for the generation of intrinsic localized modes (ILMs) in a nonlinear electrical transmission line is presented both via modulational instability (MI) of the uniform mode and via driving the lattice locally. The…

Pattern Formation and Solitons · Physics 2009-11-13 Ryan Stearrett , L. Q. English

Several strategies for nonlinearity mitigation based on signal processing at the transmitter and/or receiver side are analyzed and their effectiveness is discussed. Improved capacity lower bounds based on their combination are presented.

Information Theory · Computer Science 2021-07-15 Marco Secondini , Stella Civelli , Enrico Forestieri

In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

This paper elucidates a model for acoustic single and multi-tone classification in resource constrained edge devices. The proposed model is of State-of-the-art Fast Accurate Stable Tiny Gated Recurrent Neural Network. This model has…

Machine Learning · Computer Science 2021-12-07 Raghav Rawat , Shreyash Gupta , Shreyas Mohapatra , Sujata Priyambada Mishra , Sreesankar Rajagopal

The phase and amplitude responses of a narrow-band optical filter are measured simultaneously using a microwave network analyzer. The measurement is based on an interferometric arrangement to split light into two paths and then combine…

Optics · Physics 2013-01-15 Hsi-Cheng Wang , Keang-Po Ho

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations. Both the control input and the measured output are located on the…

Analysis of PDEs · Mathematics 2019-04-30 Vincent Andrieu , Ngoc-Tu Trinh , Cheng-Zhong Xu

The mechanism underlying the soliton ratchet, both in absence and in presence of noise, is investigated. We show the existence of an asymmetric internal mode on the soliton profile which couples, trough the damping in the system, to the…

Pattern Formation and Solitons · Physics 2009-11-07 Mario Salerno , Niurka R. Quintero

High sensitivity quantum interferometry requires more than just access to entangled states. It is achieved through deep understanding of quantum correlations in a system. Integrable models offer the framework to develop this understanding.…

Quantum Physics · Physics 2022-05-31 D. S. Grun , L. H. Ymai , Karin Wittmann Wilsmann , A. P. Tonel , A. Foerster , J. Links

We have obtained exact analytical expressions in closed form, for the linear modes excited in finite and discrete systems that are driven by a spatially homogeneous alternating field. Those modes are extended for frequencies within the…

Other Condensed Matter · Physics 2015-05-18 N. Lazarides , G. P. Tsironis

The ability to efficiently simulate a variety of interacting quantum systems on a single device is an overarching goal for digital and analog quantum simulators. In circuit quantum electrodynamical systems, strongly nonlinear…

Quantum Physics · Physics 2026-03-16 J. D. Koenig , G. Barbieri , F. Fani Sani , C. A. Potts , M. Kounalakis , G. A. Steele

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

Systems and Control · Computer Science 2015-09-15 Hongkeun Kim , Claudio De Persis

Deep phase modulation interferometry was proposed as a method to enhance homodyne interferometers to work over many fringes. In this scheme, a sinusoidal phase modulation is applied in one arm while the demodulation takes place as a…

We introduce a universal theory of phase auto-oscillators driven by a bi harmonic signal (having frequency components close to single and double of the free-running oscillator frequency) with noise. With it, we show how deterministic phase…

Nonlinear optical processing of ambient natural light is highly desired in computational imaging and sensing applications. A strong optical nonlinear response that can work under weak broadband incoherent light is essential for this…

Interlocking logics are at the core of critical systems controlling the traffic within stations. In this paper, we consider a generic interlocking logic, which can be instantiated to control a wide class of stations. We tackle the problem…

Logic in Computer Science · Computer Science 2024-03-04 Alessandro Cimatti , Alberto Griggio , Gianluca Redondi

Transformers are deep neural network architectures that underpin the recent successes of large language models. Unlike more classical architectures that can be viewed as point-to-point maps, a Transformer acts as a measure-to-measure map…

Optimization and Control · Mathematics 2026-02-16 Borjan Geshkovski , Philippe Rigollet , Domènec Ruiz-Balet
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