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We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis , Delphine Bresch-Pietri

The reflection and transmission of a few-cycle laser pulse impinging on two parallel thin metal layers have been analyzed. The two layers, with a thickness much smaller than the skin depth of the incoming radiation field, are represented by…

Classical Physics · Physics 2019-05-16 M. Polner , S. Varró , A. Vörös-Kiss

It is demonstrated, by means of analogue electronic simulation and theoretically, that external noise can markedly change the character of the response of a nonlinear system to a low-frequency periodic field. In general, noise of sufficient…

chao-dyn · Physics 2008-02-03 MI Dykman , DG Luchinsky , R Mannella , PVE McClintock , HE Short , ND Stein , N G Stocks

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is…

Chaotic Dynamics · Physics 2015-05-13 G. Ambika , R. E. Amritkar

We present an elementary derivation and generalisation of a recently reported method of simulating feedback in open quantum systems. We use our generalised method to simulate systems with multiple delays, as well as cascaded systems with…

Quantum Physics · Physics 2017-09-14 S. J. Whalen , A. L. Grimsmo , H. J. Carmichael

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

Adaptation and Self-Organizing Systems · Physics 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

We show that the output of systems with time-varying delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregular bursts. Within each laminar phase the output intensity…

Chaotic Dynamics · Physics 2022-02-22 David Müller , Andreas Otto , Günter Radons

Temporal coherence of driven-dissipative condensates is limited by phase noise. We show that mirror-mediated time-delayed self-feedback enables control of coherence in a trapped exciton-polariton condensate. Reinjecting a small fraction of…

Optics · Physics 2026-04-29 I. Smirnov , S. Alyatkin , P. G. Lagoudakis

In this article a generalized mathematical model describing the interactions between malignant tumour and immune system with discrete time delay incorporated into the system is considered. Time delay represents the time required to generate…

Tissues and Organs · Quantitative Biology 2015-11-05 Monika Joanna Piotrowska

We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast…

Optimization and Control · Mathematics 2012-07-24 Raphael M. Jungers , Alessandro D'Innocenzo , Maria D. Di Benedetto

Laser has unique advantages such as abundant spectrum resources and low propagation divergence in wireless charging and wireless communications, compared with radio frequency. Resonant beams, as a kind of intra-cavity laser beams, have been…

Signal Processing · Electrical Eng. & Systems 2022-03-03 Mingliang Xiong , Shun Han , Qingwen Liu , Shengli Zhou

The generation of stable short optical pulses in mode-locked lasers is of tremendous importance for many applications. Mode-locking is a broad concept that encompasses different processes enabling short pulse formation. It typically…

We investigate the spatiotemporal dynamics of cavity solitons in a broad area vertical-cavity surface-emitting laser with saturable absorption subjected to time-delayed optical feedback. Using a combination of analytical, numerical and path…

Pattern Formation and Solitons · Physics 2017-10-20 Tobias Schemmelmann , Felix Tabbert , Alexander Pimenov , Andrei G. Vladimirov , Svetlana V. Gurevich

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the…

chao-dyn · Physics 2009-10-30 R. O. Vallejos , A. M. Ozorio de Almeida , C. H. Lewenkopf

Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state i.e. is governed by an additional differential equation. By applying the time transformations we arrive to constant…

Classical Analysis and ODEs · Mathematics 2017-06-29 A. V. Rezounenko

Measurement-based control has emerged as an important technique to prepare mechanical resonators in pure quantum states for applications in quantum information processing and quantum sensing. Conventionally this has required two separate…

We examine the impact of time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and…

Chaotic Dynamics · Physics 2024-08-30 Esmaeil Mahdavi , Mina Zarei , Farhad Shahbazi

We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the assumption of large time delay, the resulting phase model has…

Dynamical Systems · Mathematics 2020-07-15 Isam Al-Darabsah , Sue Ann Campbell

Delay times in quantum mechanics always represented an intriguing challenge for physicists. Due to the fact that quantum mechanical experiments are, often, hard to be implemented, the possibility to connect delay times with laser lateral…

Quantum Physics · Physics 2022-04-27 Stefano De Leo , Leonardo Solidoro

A particularly simple setup is introduced to study the influence of time-delayed coherent feedback on the optical squeezing properties of the degenerate parametric amplifier (DPA). The possibility for significantly enhanced squeezing is…

Quantum Physics · Physics 2016-08-10 Nikolett Német , Scott Parkins